31 KiB
ASARO, R. J.
[A] "Micromechanics of Crystals and Polycrystals," Advances in Applied Mechanics, Vol. 23, pp. 1-115, 1983.
ATLURI, S. N.
[A] “Alternate Stress and Conjugate Strain Measures, and Mixed Variational Formulations Involving Rigid Rotations, for Computational Analyses of Finitely Deformed Solids, with Application to Plates and Shells—I: Theory.” Computers & Structures, Vol. 18, pp. 93–116, 1984.
ATLURI, S. N., and ZHU, T.
[A] "A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics," Computational Mechanics, Vol. 22, pp. 117-127, 1998.
BABUŠKA, I.
[A] “The Finite Element Method with Lagrangian Multipliers,” Numerische Mathematik, Vol. 20, pp. 179–192, 1973.
BANIJAMALI, B., and BATHE, K. J.
[A] "The CIP Method Embedded in Finite Element Discretizations of Incompressible Fluid Flows," International Journal for Numerical Methods in Engineering, Vol. 71, pp. 66–80, 2007.
BARLOW, J.
[A] "Optimal Stress Locations in Finite Element Models," International Journal for Numerical Methods in Engineering, Vol. 10, pp. 243-251, 1976.
BARSOUM, R. S.
[A] "On the Use of Isoparametric Finite Elements in Linear Fracture Mechanics," International Journal for Numerical Methods in Engineering, Vol. 10, pp. 25-37, 1976.
[B] "Triangular Quarter-Point Elements as Elastic and Perfectly-Plastic Crack Tip Elements, International Journal for Numerical Methods in Engineering, Vol. 11, pp. 85–98, 1977.
BASSI, F., and REBAY, S.
[A] “A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier-Stokes Equations,” Journal of Computational Physics, Vol. 131, No. 2, pp. 267–279, 1997.
BATHE, K. J.
[A] "Solution Methods of Large Generalized Eigenvalue Problems in Structural Engineering," Report UC SESM 71-20, Civil Engineering Department, University of California, Berkeley, 1971.
[B] "Convergence of Subspace Iteration," in Formulations and Numerical Algorithms in Finite Element Analysis (K. J. Bathe, J. T. Oden, and W. Wunderlich, eds.), M.I.T. Press, Cambridge, MA, pp. 575-598, 1977.
[C] “Finite Elements in CAD and ADINA,” Nuclear Engineering and Design, Vol. 98, No. 1, pp. 57–67, 1986.
[D] "Remarks on the Development of Finite Element Methods and Software," International Journal of Computer Applications in Technology, Vol. 7, No. 3–6, pp. 101–107, 1994.
[E] "The Inf-Sup Condition and its Evaluation for Mixed Finite Element Methods," Computers & Structures, Vol. 79, pp. 243-252, 971, 2001.
[F] “Conserving Energy and Momentum in Nonlinear Dynamics: A Simple Implicit Time Integration Scheme,” Computers & Structures, Vol. 85, pp. 437–445, 2007.
[G] To Enrich Life, Bathe, K. J., 2007.
[H] "The Finite Element Method," in Encyclopedia of Computer Science and Engineering (B. Wah, ed.), J. Wiley and Sons, pp. 1253-1264, 2009.
[I] "Advances in the Multiphysics Analysis of Structures," Chapter 1 in Computational Methods for Engineering Science, (B. H. V. Topping, ed.) Saxe-Coburg Publications, Stirlingshire, Scotland, 2012.
[J] "The Subspace Iteration Method – Revisited, Computers & Structures, Vol. 126, pp. 177–183, 2013.
[K] "Insights and Advances in the Analysis of Structures," Proceedings, Fifth International Conference on Structural Engineering, Mechanics and Computation, University of Cape Town, (A. Zingoni, ed.), Taylor & Francis, 2013.
[L] “Frontiers in Finite Element Procedures & Applications,” Chapter 1 in Computational Methods for Engineering Technology, (B. H. V. Topping and P. Iványi, eds.), Saxe-Coburg Publications, Stirlingshire, Scotland, 2014.
[M] "The Finite Element Method with 'Overlapping Finite Elements'," Proceedings, Sixth International Conference on Structural Engineering, Mechanics and Computation, University of Cape Town, (A. Zingoni, ed.), Taylor & Francis, 2016.
BATHE, K. J., and ALMEIDA, C. A.
[A] “A Simple and Effective Pipe Elbow Element—Linear Analysis,” and “A Simple and Effective Pipe Elbow Element—Interaction Effects,” Journal of Applied Mechanics, Vol. 47, pp. 93–100, 1980, and Journal of Applied Mechanics, Vol. 49, pp. 165–171, 1982.
BATHE, K. J., and BAIG, M. M. I.
[A] "On a Composite Implicit Time Integration Procedure for Nonlinear Dynamics," Computers & Structures, Vol. 83, pp. 2513-2524, 2005.
BATHE, K. J., and BOLOURCHI, S.
[A] "Large Displacement Analysis of Three-Dimensional Beam Structures," International Journal for Numerical Methods in Engineering, Vol. 14, pp. 961-986, 1979.
[B] "A Geometric and Material Nonlinear Plate and Shell Element," Computers & Structures, Vol. 11, pp. 23-48, 1980.
BATHE, K. J., and BOUZINOV, P.A.
[A] "On the Constraint Function Method for Contact Problems," Computers & Structures, Vol. 64, pp. 1069-1085, 1997.
BATHE, K. J., and BREZZI, F.
[A] “On the Convergence of a Four-Node Plate Bending Element Based on Mindlin/Reissner Plate Theory and a Mixed Interpolation,” in The Mathematics of Finite Elements and Applications V (J. R. Whiteman, ed.), Academic Press, New York, pp. 491–503, 1985.
[B] "A Simplified Analysis of Two Plate Bending Elements—The MITC4 and MITC9 Elements," Proceedings, Numerical Methods in Engineering: Theory and Applications, University College, Swansea, U.K., 1987.
[C] “Stability of Finite Element Mixed Interpolations for Contact Problems,” Rendiconti Lincei Matematica e Applicazioni, Series 9, Vol. 12, pp. 167–183, 2001.
BATHE, K. J., BREZZI, F., and MARINI, L. D.
[A] "The MTC9 Shell Element in Plate Bending: Mathematical Analysis of a Simplified Case," Computational Mechanics, Vol. 47, pp. 617-626, 2011.
BATHE, K. J., BUCALEM, M. L., and BREZZI, F.
[A] “Displacement and Stress Convergence of Our MITC Plate Bending Elements,” Engineering Computations, Vol. 7, pp. 291–302, 1990.
BATHE, K. J., CHAPELLE, D., and LEE, P. S.
[A] “A Shell Problem 'Highly Sensitive' to Thickness Changes,” International Journal for Numerical Methods in Engineering, Vol. 57, pp. 1039–1052, 2003.
BATHE, K. J., and CHAUDHARY, A. B.
[A] "On the Displacement Formulation of Torsion of Shafts with Rectangular Cross-sections," International Journal for Numerical Methods in Engineering, Vol. 18, pp. 1565-1568, 1982.
[B] "A Solution Method for Planar and Axisymmetric Contact Problems," International Journal for Numerical Methods in Engineering, Vol. 21, pp. 65–88, 1985.
BATHE, K. J., CHAUDHARY, A. B., DVORKIN, E. N., and KOJIĆ, M.
[A] "On the Solution of Nonlinear Finite Element Equations," in Proceedings, International Conference on Computer-Aided Analysis and Design of Concrete Structures I (F. Damjanić et al., eds.), pp. 289-299, Pineridge Press, Swansea, U.K., 1984.
BATHE, K. J., and CIMENTO, A. P.
[A] "Some Practical Procedures for the Solution of Nonlinear Finite Element Equations," Computer Methods in Applied Mechanics and Engineering, Vol. 22, pp. 59–85, 1980.
BATHE, K. J., and DONG, J.
[A] “Component Mode Synthesis with Subspace Iterations for Controlled Accuracy of Frequency and Mode Shape Solutions,” Computers & Structures, Vol. 139, pp. 28–32, 2014.
BATHE, K. J., and DVORKIN, E. N.
[A] “A Four-Node Plate Bending Element Based on Mindlin/Reissner Plate Theory and a Mixed Interpolation,” International Journal for Numerical Methods in Engineering, Vol. 21, pp. 367–383, 1985.
[B] "A Formulation of General Shell Elements—The Use of Mixed Interpolation of Tensorial Components," International Journal for Numerical Methods in Engineering, Vol. 22, pp. 697–722, 1986.
[C] “On the Automatic Solution of Nonlinear Finite Element Equations,” Computers & Structures, Vol. 17, pp. 871–879, 1983.
BATHE, K. J., and GRACEWSKI, S.
[A] "On Nonlinear Dynamic Analysis Using Substructuring and Mode Superposition," Computers & Structures, Vol. 13, pp. 699-707, 1981.
BATHE, K. J., and KHOSHGOFTAAR, M. R.
[A] "Finite Element Formulation and Solution of Nonlinear Heat Transfer," Nuclear Engineering and Design, Vol. 51, pp. 389-401, 1979.
[B] "Finite Element Free Surface Seepage Analysis Without Mesh Iteration," International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 3, pp. 13-22, 1979.
BATHE, K. J., and LEDEZMA, G. A.
[A] "Benchmark Problems for Incompressible Fluid Flows with Structural Interactions," Computers & Structures, Vol. 85, pp. 628-644, 2007.
BATHE, K. J., LEE, N. S., and BUCALEM, M. L.
[A] “On the Use of Hierarchical Models in Engineering Analysis,” Computer Methods in Applied Mechanics and Engineering, Vol. 82, pp. 5–26, 1990.
BATHE, K. J., and LEE, P. S.
[A] "Measuring the Convergence Behavior of Shell Analysis Schemes," Computers & Structures, Vol. 89, pp. 285-301, 2011.
BATHE, K. J., LEE, P. S., and HILLER, J.-F.
[A] “Towards Improving the MITC9 Shell Element,” Computers & Structures, Vol. 81, pp. 477–489, 2003.
BATHE, K. J., NITIKITPAIBOON, C., and WANG, X.
[A] “A Mixed Displacement-Based Finite Element Formulation for Acoustic Fluid-Structure Interaction”, Computers & Structures, Vol. 56, pp. 225–237, 1995.
BATHE, K. J., and MONTÁNS, F. J.
[A] “On Modeling Mixed Hardening in Computational Plasticity,” Computers & Structures, Vol. 82, pp. 535–539, 2004.
BATHE, K. J., and NOH, G.
[A] “Insight into an Implicit Time Integration Scheme for Structural Dynamics,” Computers & Structures, Vol. 98–99, pp. 1–6, 2012.
BATHE, K. J., and RAMASWAMY, S.
[A] "An Accelerated Subspace Iteration Method," Computer Methods in Applied Mechanics and Engineering, Vol. 23, pp. 313-331, 1980.
BATHE, K. J., RAMM, E., and WILSON, E. L.
[A] "Finite Element Formulations for Large Deformation Dynamic Analysis," International Journal for Numerical Methods in Engineering, Vol. 9, pp. 353-386, 1975.
BATHE, K. J., and SONNAD, V.
[A] "On Effective Implicit Time Integration in Analysis of Fluid-Structure Problems," International Journal for Numerical Methods in Engineering, Vol. 15, pp. 943-948, 1980.
BATHE, K. J., WALCZAK, J., WELCH, A., and MISTRY, N.
[A] "Nonlinear Analysis of Concrete Structures," Computers & Structures, Vol. 32, pp. 563-590, 1989.
BATHE, K. J., WALCZAK, J., and ZHANG, H.
[A] “Some Recent Advances for Practical Finite Element Analysis,” Computers & Structures, Vol. 47, pp. 511–521, 1993.
BATHE, K. J., and WILSON, E. L.
[A] “Stability and Accuracy Analysis of Direct Integration Methods,” Earthquake Engineering and Structural Dynamics, Vol. 1, pp. 283–291, 1973.
[B] "NONSAP—A General Finite Element Program for Nonlinear Dynamic Analysis of Complex Structures," Paper No. M3-1, Proceedings, Second Conference on Structural Mechanics in Reactor Technology, Berlin, Sept. 1973.
[C] "Eigensolution of Large Structural Systems with Small Bandwidth," ASCE Journal of Engineering Mechanics Division, Vol. 99, pp. 467-479, 1973.
[D] “Large Eigenvalue Problems in Dynamic Analysis,” ASCE Journal of Engineering Mechanics Division, Vol. 98, pp. 1471–1485, 1972.
BATHE, K. J., and ZHANG, H.
[A] "A Flow-Condition-Based Interpolation Finite Element Procedure for Incompressible Fluid Flows," Computers & Structures, Vol. 80, pp. 1267-1277, 2002.
[B] “Finite Element Developments for General Fluid Flows with Structural Interactions,” International Journal for Numerical Methods in Engineering, Vol. 60, pp, 213–232, 2004.
[C] “A Mesh Adaptivity Procedure for CFD and Fluid-Structure Interactions,” Computers & Structures, Vol. 87, pp. 604–617, 2009.
BATHE, K. J., and ZHANG, L.
[A] "The Finite Element Method with Overlapping Elements — A New Paradigm for CAD Driven Simulations," Computers & Structures, 201x.
BATHE, K. J., ZHANG, H., and JI, S.
[A] “Finite Element Analysis of Fluid Flows Fully Coupled with Structural Interactions,” Computers & Structures, Vol. 72, pp. 1–16, 1999.
BATHE, K. J., ZHANG, H, and WANG, M. H.
[A] "Finite Element Analysis of Incompressible and Compressible Fluid Flows with Free Surfaces and Structural Interactions," Computers & Structures, Vol. 56, pp. 193-213, 1995.
BATHE, K. J., ZHANG, H., and YAN, Y.
[A] "The Solution of Maxwell's Equations in Multiphysics," Computers & Structures, Vol. 132, pp. 99-112, 2014.
BATHE, M.
[A] "A Finite Element Framework for Computation of Protein Normal Modes and Mechanical Response," Proteins: Structure, Function, and Bioinformatics, Vol. 70, No. 4, pp. 1595-1609, 2008.
BATOZ, J. -L., BATHE, K. J., and HO, L. W.
[A] "A Study of Three-Node Triangular Plate Bending Elements," International Journal for Numerical Methods in Engineering, Vol. 15, pp. 1771–1812, 1980.
BAUER, F. L.
[A] "Das Verfahren der Treppeniteration und Verwandte Verfahren zur Lösung Algebraischer Eigenwertprobleme," Zeitschrift für Angewandte Mathematik und Physik, Vol. 8, pp. 214–235, 1957.
BEIRÃO DA VEIGA, L., BREZZI, F., CANGIANI, A., MANZINI, G., MARINI, L. D., and RUSSO, A.
[A] "Basic Principles of Virtual Element Methods," Mathematical Models & Methods in Applied Sciences, Vol. 23 No. 1, pp. 199-214, 2013.
BELYTSCHKO, T., LU, Y. Y., and GU, L.
[A] "Element-Free Galerkin Methods," International Journal for Numerical Methods in Engineering, Vol. 37, No. 2, pp. 229-256, 1994.
BENÍTEZ, J. M., and MONTÁNS, F. J.
[A] "The Value of Numerical Amplification Matrices in Time Integration Methods," Computers & Structures, Vol. 128, pp. 243–250, 2013.
BENZLEY, S. E.
[A] “Representation of Singularities with Isoparametric Finite Elements,” International Journal for Numerical Methods in Engineering, Vol. 8, pp. 537–545, 1974.
BERTSEKAS, D. P.
[A] Constrained Optimization and Lagrange Multiplier Methods, Academic Press, New York, 1982.
BIĆANIĆ, N., and JOHNSON, K. H.
[A] "Who Was ‘-Raphson’?" International Journal for Numerical Methods in Engineering, Vol. 14, pp. 148–152, 1979.
BISCHOFF, M., and RAMM, E.
[A] "Shear Deformable Shell Elements for Large Strains and Rotations," International Journal for Numerical Methods in Engineering, Vol. 40, pp. 4427-4449, 1997.
BREZZI, F.
[A] “On the Existence, Uniqueness and Approximation of Saddle-Point Problems Arising from Lagrangian Multipliers,” Revue Française d’Automatique, Informatique, Recherche Opérationnelle, Analyse Numérique, Vol. 8, pp. 129–151, 1974.
BREZZI, F., and BATHE, K. J.
[A] "Studies of Finite Element Procedures—The Inf-Sup Condition, Equivalent Forms and Applications," in Reliability of Methods for Engineering Analysis (K. J. Bathe and D. R. J. Owen, eds.), pp. 197–219, Pineridge Press, Swansea, U.K., 1986.
[B] “A Discourse on the Stability Conditions for Mixed Finite Element Formulations,” Computer Methods in Applied Mechanics and Engineering, Vol. 82, pp. 27–57, 1990.
BREZZI, F., BATHE, K. J., and FORTIN, M.
[A] "Mixed-Interpolated Elements for Reissner-Mindlin Plates," International Journal for Numerical Methods in Engineering, Vol. 28, pp. 1787–1801, 1989.
BREZZI, F., and FORTIN, M.
[A] Mixed and Hybrid Finite Element Methods, Springer-Verlag, New York, 1991.
BREZZI, F., FORTIN, M., and STENBERG, R.
[A] "Error Analysis of Mixed-Interpolated Elements for Reissner-Mindlin Plates," Mathematical Models and Methods in Applied Sciences, Vol. 1, pp. 125-151, 1991.
BREZZI, F., and RUSSO, A.
[A] "Choosing Bubbles for Advection-Diffusion Problems," Mathematical Models and Methods in Applied Sciences, Vol. 4, pp. 571-587, 1994.
BROOKS, A. N., and HUGHES, T. J. R.
[A] “Streamline Upwind/Petrov-Galerkin Formulations for Convection Dominated Flows with Particular Emphasis on the Incompressible Navier-Stokes Equations,” Computer Methods in Applied Mechanics and Engineering, Vol. 32, pp. 199–259, 1982.
BUCALEM, M. L., and BATHE, K. J.
[A] "Higher-Order MITC General Shell Elements," International Journal for Numerical Methods in Engineering, Vol. 36, pp. 3729-3754, 1993.
[B] The Mechanics of Solids and Structures — Hierarchical Modeling and the Finite Element Solution, Springer, 2011.
BUSHNELL, D., ALMROTH, B. O., and BROGAN, F.
[A] "Finite-Difference Energy Method for Nonlinear Shell Analysis," Computers & Structures, Vol. 1, pp. 361-387, 1971.
CAMINERO, M. Á., MONTÁNS, F. J., and BATHE, K. J.
[A] "Modeling Large Strain Anisotropic Elasto-plasticity with Logarithmic Strain and Stress Measures," Computers & Structures, Vol. 89, pp. 826-843, 2011.
CHAPELLE, D., and BATHE, K. J.
[A] "The Inf-Sup Test," Computers & Structures, Vol. 47, pp. 537–545, 1993.
[B] "Fundamental Considerations for the Finite Element Analysis of Shell Structures," Computers & Structures, Vol. 66, pp. 19-36, 711-712, 1998.
[C] "The Mathematical Shell Model Underlying General Shell Elements," International Journal for Numerical Methods in Engineering, Vol. 48, pp. 289-313, 2000.
[D] "On the Ellipticity Condition for Model-Parameter Dependent Mixed Formulations," Computers & Structures, Vol. 88, pp. 581-587, 2010.
[E] The Finite Element Analysis of Shells - Fundamentals, 2^{\mathrm{nd}} ed., Springer, 2011.
CHAPELLE, D., FERENT, A., and BATHE, K. J.
[A] “3D-Shell Elements and their Underlying Mathematical Model,” Mathematical Models & Methods in Applied Sciences, Vol. 14, pp. 105–142, 2004.
CHEUNG, Y. K.
[A] "Finite Strip Method of Analysis of Elastic Slabs," Proceedings of the American Society of Civil Engineers, Vol. 94, EM6, pp. 1365-1378, 1968.
CHRISTIE, I., GRIFFITHS, D. F., MITCHELL, A. R., and ZIENKIEWICZ, O. C.
[A] "Finite Element Methods for Second Order Differential Equations with Significant First Derivatives," International Journal for Numerical Methods in Engineering, Vol. 10, pp. 1389-1396, 1976.
CHUNG, J., and HULBERT, G. M.
[A] “A Time Integration Algorithm for Structural Dynamics with Improved Numerical Dissipation: The Generalized- \alpha Method,” Journal of Applied Mechanics – Transactions of the ASME, Vol. 60, No. 2, pp. 371–375, 1993.
CIARLET, P. G.
[A] The Finite Element Method for Elliptic Problems, North Holland, New York, 1978.
CIARLET, P. G., and RAVIART, P.-A.
[A] "Interpolation Theory over Curved Elements, with Applications to Finite Element Methods," Computer Methods in Applied Mechanics and Engineering, Vol. 1, pp. 217-249, 1972.
CIRAK, F., ORTIZ, M., and SCHRÖDER, P.
[A] “Subdivision Surfaces: A New Paradigm for Thin-Shell Finite-Element Analysis,” International Journal for Numerical Methods in Engineering, Vol. 47, No. 12, pp. 2039–2072, 2000.
CLOUGH, R. W.
[A] "The Finite Element Method in Plane Stress Analysis," Proceedings, Second ASCE Conference on Electronic Computation, Pittsburgh, PA, pp. 345–378, Sept. 1960.
CLOUGH, R. W., and PENZIEN, J.
[A] Dynamics of Structures, McGraw-Hill, New York, 1975.
CLOUGH, R. W., and WILSON, E. L.
[A] “Stress Analysis of a Gravity Dam by the Finite Element Method,” Proceedings, Symposium on the Use of Computers in Civil Engineering, pp. 29.1–29.22, Laboratorio Nacional de Engenharia Civil, Lisbon, Portugal, Oct. 1962.
COLLATZ, L.
[A] The Numerical Treatment of Differential Equations, 3 ^{rd} ed., Springer-Verlag, New York, 1966.
COURANT, R.
[A] “Variational Methods for the Solution of Problems of Equilibrium and Vibrations,” Bulletin of the American Mathematical Society, Vol. 49, pp. 1–23, 1943.
COURANT, R., FRIEDRICH, K., and LEWY, H.
[A] “Über die partiellen Differenzengleichungen der mathematischen Physik,” Mathematische Annalen, Vol. 100, pp. 32–74, 1928.
COURANT, R., and HILBERT, D.
[A] Methods of Mathematical Physics, John Wiley, New York, 1953.
COURANT, R., ISAACSON, E., and REES, M.
[A] "On the Solution of Nonlinear Hyperbolic Differential Equations by Finite Differences," Communications on Pure and Applied Mathematics, Vol. 5, pp. 243-255, 1952.
COWPER, G. R.
[A] “Gaussian Quadrature Formulas for Triangles,” International Journal for Numerical Methods in Engineering, Vol. 7, pp. 405–408, 1973.
CRAIG, R. R., JR.
[A] Structural Dynamics, John Wiley, New York, 1981.
CRANDALL, S. H.
[A] Engineering Analysis, McGraw-Hill, New York, 1956.
CRANDALL, S. H., DAHL, N. C., and LARDNER, T. J.
[A] An Introduction to the Mechanics of Solids, 2 ^{nd} ed., McGraw-Hill, New York, 1978.
CRISFIELD, M. A.
[A] "A Fast Incremental/Iterative Solution Procedure that Handles "Snap-Through", "Computers & Structures, Vol. 13, pp. 55-62, 1981.
CROUZEIX, M., and RAVIART, P.-A.
[A] “Conforming and Non-conforming Finite Element Methods for Solving the Stationary Stokes Equations I,” Revue Française d’Automatique Informatique, Recherche Opérationnelle, Mathématique, Vol. 7, pp. 33–75, 1973.
CUTHILL, E., and MCKEE, J.
[A] “Reducing the Bandwidth of Sparse Symmetric Matrices,” Proceedings of 24 ^{th} National Conference, Association for Computing Machinery, pp. 157-172, 1969.
DANIEL, W. J. T., and BELYTSCHKO, T.
[A] “Suppression of Spurious Intermediate Frequency Modes in Under-Integrated Elements by Combined Stiffness/Viscous Stabilization,” International Journal for Numerical Methods in Engineering, Vol. 64, pp. 335–353, 2005.
DE, S., and BATHE, K. J.
[A] “The Method of Finite Spheres,” Computational Mechanics, Vol. 25, pp. 329–345, 2000.
[B] “The Method of Finite Spheres with Improved Numerical Integration,” Computers & Structures, Vol. 79, pp. 2183–2196, 2001.
[C] “Displacement/Pressure Mixed Interpolation in the Method of Finite Spheres,” International Journal for Numerical Methods in Engineering, Vol. 51, pp. 275–292, 2001.
DENNIS, J. E., JR.
[A] “A Brief Survey of Convergence Results for Quasi-Newton Methods,” SIAM-AMS Proceedings, Vol. 9, pp. 185–199, 1976.
DEILMANN, C., and BATHE, K. J.
[A] “A Holistic Method to Design an Optimized Energy Scenario and Quantitatively Evaluate Promising Technologies for Implementation,” International Journal of Green Energy, Vol. 6, pp. 1–21, 2009.
DESAI, C. S.
[A] "Finite Element Residual Schemes for Unconfined Flow," International Journal for Numerical Methods in Engineering, Vol. 10, pp. 1415-1418, 1976.
DESAI, C. S., and SIRIWARDANE, H. J.
[A] Constitutive Laws for Engineering Materials: with Emphasis on Geologic Materials, Prentice Hall, Englewood Cliffs, NJ, 1984.
DONEA, J., GIULIANI, S., and HALLEUX, J. P.
[A] “An Arbitrary Lagrangian-Eulerian Finite Element Method for Transient Dynamic Fluid-Structure Interactions,” Computer Methods in Applied Mechanics and Engineering, Vol. 33, pp. 689–723, 1982.
DRUCKER, D. C., and PRAGER, W.
[A] “Soil Mechanics and Plastic Analysis or Limit Design,” Quarterly of Applied Mathematics, Vol. 10, N. 2, pp. 157–165, 1952.
DUARTE, C. A., BABUŠKA, I., and ODEN, J. T.
[A] "Generalized Finite Element Methods for Three-dimensional Structural Mechanics Problems," Computers & Structures, Vol. 77, pp. 215-232, 2000.
DUL, F. A., and ARCZEWSKI, K.
[A] “The Two-Phase Method for Finding a Great Number of Eigenpairs of the Symmetric or Weakly Non-Symmetric Large Eigenvalue Problems,” Journal of Computational Physics, Vol. 111, pp. 89–109, 1994.
DVORKIN, E. N., and BATHE, K. J.
[A] "A Continuum Mechanics Based Four-Node Shell Element for General Nonlinear Analysis," Engineering Computations, Vol. 1, pp. 77–88, 1984.
DVORKIN, E. N., CUITIÑO, A. M., and GIOIA, G.
[A] "Finite Elements with Displacement Interpolated Embedded Localization Lines Insensitive to Mesh Size and Distortions," International Journal for Numerical Methods in Engineering, Vol. 30, No. 3, pp. 541-564, 1990.
DVORKIN, E. N., and GOLDSCHMIT, M. B.
[A] Nonlinear Continua, Springer-Verlag, 2006.
EL-ABBASI, N., and BATHE, K. J.
[A] "Stability and Patch Test Performance of Contact Discretizations and a New Solution Algorithm," Computers & Structures, Vol. 79, pp. 1473-1486, 2001.
ERICSSON, T., and RUHE, A.
[A] "The Spectral Transformation Lanczos Method for the Numerical Solution of Large Sparse Generalized Symmetric Eigenvalue Problems," Mathematics of Computation, Vol. 35, pp. 1251-1268, 1980.
ETEROVIC, A. L., and BATHE, K. J.
[A] “A Hyperelastic-Based Large Strain Elasto-Plastic Constitutive Formulation with Combined Isotropic-Kinematic Hardening Using the Logarithmic Stress and Strain Measures,” International Journal for Numerical Methods in Engineering, Vol. 30, pp. 1099–1114, 1990.
[B] "On Large Strain Elasto-Plastic Analysis with Frictional Contact Conditions," Proceedings, Conference on Numerical Methods in Applied Science and Industry, Politecnica di Torino, Torino, pp. 81–93, 1990.
[C] “On the Treatment of Inequality Constraints Arising from Contact Conditions in Finite Element Analysis,” Computers & Structures, Vol. 40, pp. 203–209, 1991.
EVERSTINE, G. C.
[A] "A Symmetric Potential Formulation for Fluid-Structure Interaction," Journal of Sound and Vibration, Vol. 79, pp. 157–160, 1981.
FALK, S., and LANGEMEYER, P.
[A] “Das Jacobische Rotationsverfahren für reellsymmetrische Matrizenpaare,” Elektronische Datenverarbeitung, pp. 30–34, 1960.
FLETCHER, R.
[A] “Conjugate Gradient Methods for Indefinite Systems,” Lecture Notes in Mathematics, Vol. 506, pp. 73–89, Springer-Verlag, New York, 1976.
FORTIN, M., and GLOWINSKI, R.
[A] Augmented Lagrangian Methods: Applications to the Numerical Solution of Boundary-Value Problems, Elsevier Science Publishers, Amsterdam, 1983.
FRANCIS, J. G. F.
[A] "The QR Transformation, Parts 1 and 2," The Computer Journal, Vol. 4, pp. 265–271, 332–345, 1961, 1962.
FRIEDRICHs, K. O., and DRESSLER, R. F.
[A] “A Boundary-Layer Theory for Elastic Plates,” Communications on Pure and Applied Mathematics, Vol. 14, pp. 1–33, 1961.
FRÖBERG, C. E.
[A] Introduction to Numerical Analysis, Addison-Wesley, Reading, MA, 1969.
FUNG, Y. C.
[A] Foundations of Solid Mechanics, Prentice-Hall, Englewood Cliffs, NJ, 1965.
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[A] "Analysis of Plate and Shell Structures," Proceedings, Symposium on the Application of Finite Element Methods in Civil Engineering, Vanderbilt University, Nashville, TN, pp 155-205, 1969.
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[A] "An Iterative Finite Element Procedure for the Analysis of Piezoelectric Continua," Journal of Intelligent Material Systems and Structures, Vol. 6, No. 2, pp. 266–273, 1995.
GAUSS, C. F.
[A] Carl Friedrich Gauss Werke, von der Königlichen Gesellschaft der Wissenschaften zu Göttingen, Vol. 4, 1873.
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[A] "Graph Theory and Sparse Matrix Computation," Institute for Mathematics and Its Applications, Vol. 56, Springer-Verlag, 1993.
GHALI, A., and BATHE, K. J.
[A] "Analysis of Plates Subjected to In-Plane Forces Using Large Finite Elements," and "Analysis of Plates in Bending Using Large Finite Elements," International Association for Bridge and Structural Engineering Bulletin, Vol. 30-I, pp. 61-72, Vol. 30-II, pp. 29-40, 1970.
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[A] "An Algorithm for Reducing the Bandwidth and Profile of a Sparse Matrix," SIAM Journal on Numerical Analysis, Vol. 13, pp. 236-250, 1976.
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[A] “The Block Lanczos Method for Computing Eigenvalues,” in Mathematical Software III (J. R. Rice, ed.) pp. 361–377, Academic Press, New York, 1977.
GOLUB, G. H., and VAN LOAN, C. F.
[A] Matrix Computations, Johns Hopkins University Press, Baltimore, 1983.
GRÄTSCH, T., and BATHE, K. J.
[A] "A Posteriori Error Estimation Techniques in Practical Finite Element Analysis," Computers & Structures, Vol. 83, pp. 235-265, 2005.
GREEN, A. E., and NAGHDI, P. M.
[A] "A General Theory of an Elastic-Plastic Continuum," Archive for Rational Mechanics and Analysis, Vol. 18, pp. 251–281, 1965.
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[A] Theoretical Elasticity, Clarendon Press, Oxford, 1954.
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[A] "A New Finite Element for Incompressible or Boussinesq Fluids," in Third International Conference on Finite Elements in Flow Problems (D. H. Norrie, ed.), Banff, Alberta, Canada, pp. 204–215, 1981.
GUYAN, R. J.
[A] "Reduction of Stiffness and Mass Matrices," AIAA Journal, Vol. 3, No. 2, p. 380, 1965
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[A] "Specifications of Boundary Conditions for Reissner/Mindlin Plate Bending Finite Elements," International Journal for Numerical Methods in Engineering, Vol. 30, pp. 981-1011, 1990.
HAM, S., and BATHE, K. J.
[A] “A Finite Element Method for Wave Propagation Problems,” Computers & Structures, Vol. 94–95, pp. 1–12, 2012.
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[A] “The Method of Finite Spheres for Wave Propagation Problems,” Computers & Structures, Vol. 142, pp. 1–14, 2014.
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[A] "Numerical Integration over Simplexes and Cones," Mathematical Tables and other Aids to Computation, Vol. 10, pp. 130–137, The National Research Council, Washington, DC, 1956.
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[A] “Die allgemeinen Ansätze der Mechanik der Kontinua,” in Encyklopädie der Mathematischen Wissenschaften, (F. Klein and C. Müller, eds.), Vol. 4, Pt. 4, pp. 601–694, Teubner Verlag, Leipzig, 1914.
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[A] “Crack Tip Finite Elements Are Unnecessary,” International Journal for Numerical Methods in Engineering, Vol. 9, pp. 495–507, 1975.
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[A] “Elasticity Equations for Incompressible and Nearly Incompressible Materials by a Variational Theorem,” AIAA Journal, Vol. 3, pp. 1896–1900, 1965.
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[A] "Methods of Conjugate Gradients for Solving Linear Systems," Journal of Research of the National Bureau of Standards, Vol. 49, pp. 409-436, 1952.
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[A] "Improved Numerical Dissipation for Time Integration Algorithms in Structural Dynamics," Earthquake Engineering and Structural Dynamics, Vol. 5, pp. 283-292, 1977.
HILL, R.
[A] “Aspects of Invariance in Solid Mechanics” in Advances in Applied Mechanics (C.-S. Yih, ed.), Vol. 18, pp. 1–75, Academic Press, New York, 1978.
[B] The Mathematical Theory of Plasticity, Oxford University Press, Oxford, 1983.
HILLER, J.-F., and BATHE, K. J.
[A] "On Higher-Order-Accuracy Points in Isoparametric Finite Element Analysis and an Application to Error Assessment," Computers & Structures, Vol. 79, pp. 1275-1285, 2001.
HINTON, E., and CAMPBELL, J. S.
[A] "Local and Global Smoothing of Discontinuous Finite Element Functions Using a Least Squares Method," International Journal for Numerical Methods in Engineering, Vol. 8, pp. 461–480, 1974.
HODGE, P. G., BATHE, K. J., and DVORKIN, E. N.
[A] “Causes and Consequences of Nonuniqueness in an Elastic-Perfectly-Plastic Truss,” Journal of Applied Mechanics, Vol. 53, pp. 235–241, 1986.
HOLDEN, J. T.
[A] "On the Finite Deflections of Thin Beams," International Journal of Solids and Structures, Vol. 8, pp. 1051-1055, 1972.
HONG, J. W., and BATHE, K. J.
[A] "Coupling and Enrichment Schemes for Finite Element and Finite Sphere Discretizations," Computers & Structures, Vol. 83, pp. 1386-1395, 2005.
HOOD, P., and TAYLOR, C.
[A] "Navier-Stokes Equations Using Mixed Interpolation," Finite Element Methods in Flow Problems (J. T. Oden, O. C. Zienkiewicz, R. H. Gallagher, and C. Taylor, eds.), UAH Press, The University of Alabama in Huntsville, Huntsville, AL, pp. 121-132, 1974.