MultiPhysicsVault/.raw/FiniteElementProcedures/FiniteElementProcedures_105.md

<!-- source-page: 1041 -->

HOUBOLT, J. C.

HU, H. C.   
HUANG, H. C., and HINTON, E.   
HUERTA, A., and LIU, W. K.   
HUGHES, T. J. R., COTTRELL, J. A., and BAZILEVS, Y.   
HUGHES, T. J. R., and TEZDUYAR, T. E.   
IOSILEVICH, A., BATHE, K. J., and BREZZI, F.   
IRONS, B. M.   
IRONS, B. M., and RAZZAQUE, A.   
JACOBI, C. G. J.   
JANG, J., and PINSKY, P. M.   
JENNINGS, A.   
JEON, H. M., LEE, P. S., and BATHE, K. J.   
JOHNSON, C., NÄVERT, U., and PITKÄRANTA, J.   
[A] "A Recurrence Matrix Solution for the Dynamic Response of Elastic Aircraft," Journal of the Aeronautical Sciences, Vol. 17, pp. 540–550, 1950.   
[A] "On Some Variational Principles in the Theory of Elasticity and the Theory of Plasticity," Scientia Sinica, Vol. 4, pp. 33-54, 1955.   
[A] "A New Nine Node Degenerated Shell Element with Enhanced Membrane and Shear Interpolation," International Journal for Numerical Methods in Engineering, Vol. 22, pp. 73–92, 1986.   
[A] "Viscous Flow with Large Free Surface Motion," Computer Methods in Applied Mechanics and Engineering, Vol. 69, pp. 277-324, 1988.   
[A] "Isogeometric Analysis: CAD, Finite Elements, NURBS, Exact Geometry and Mesh Refinement," Computer Methods in Applied Mechanics and Engineering, Vol. 194, No. 39-41, pp. 4135-4195, 2005.   
[A] "Finite Elements Based Upon Mindlin Plate Theory with Particular Reference to the Four-Node Bilinear Isoparametric Element," Journal of Applied Mechanics, Vol. 48, pp. 587-596, 1981.   
[A] "On Evaluating the Inf-Sup Condition for Plate Bending Elements," International Journal for Numerical Methods in Engineering, Vol. 40, pp. 3639–3663, 1997.   
[A] "Engineering Application of Numerical Integration in Stiffness Method," AIAA Journal, Vol. 4, pp. 2035-2037, 1966.   
[B] "Numerical Integration Applied to Finite Element Methods," Conference on the Use of Digital Computers in Structural Engineering, University of Newcastle, England, 1966.   
[C] “Quadrature Rules for Brick-Based Finite Elements,” International Journal for Numerical Methods in Engineering, Vol. 3, pp. 293–294, 1971.   
[D] "A Frontal Solution Program for Finite Element Analysis," International Journal for Numerical Methods in Engineering, Vol. 2, pp. 5–32, 1970.   
[A] "Experience with the Patch Test for Convergence of Finite Elements," in The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations (A. K. Aziz, ed.), Academic Press, New York, pp. 557-587, 1972.   
[A] "Über ein leichtes Verfahren die in der Theorie der Säcularstörungen vorkommenden Gleichungen numerisch aufzulösen," Crelle's Journal, Vol. 30, pp. 51–94, 1846.   
[A] "An Assumed Covariant Strain Based 9-Node Shell Element," International Journal for Numerical Methods in Engineering, Vol. 24, pp. 2389–2411, 1987.   
[A] "A Direct Iteration Method of Obtaining Latent Roots and Vectors of a Symmetric Matrix," Proceedings of the Cambridge Philosophical Society, Vol. 63, pp, 755-765, 1967.   
[A] "The MITC3 Shell Finite Element Enriched by Interpolation Covers," Computers & Structures, Vol. 134, pp. 128–142, 2014.   
[A] "Finite Element Methods for Linear Hyperbolic Problems," Computer Methods in Applied Mechanics and Engineering, Vol. 45, pp. 285-312, 1984.

<!-- source-page: 1042 -->

KAGAN, P., FISCHER, A., and BAR-YOSEPH, P. Z.

[A] "New B-Spline Finite Element Approach for Geometrical Design and Mechanical Analysis," International Journal for Numerical Methods in Engineering, Vol. 41, pp. 435-458, 1998.

KARDESTUNCER, H., NORRIE, D. H. (eds.)

[A] Finite Element Handbook, McGraw-Hill, New York, 1987.

KATO, K., LEE, N. S., and BATHE, K. J.

[A] "Adaptive Finite Element Analysis of Large Strain Elastic Response," Computers & Structures, Vol. 47, pp. 829-855, 1993.

KAZANCI, Z., and BATHE, K. J.

[A] “Crushing and Crashing of Tubes with Implicit Time Integration,” International Journal of Impact Engineering, Vol. 42, pp. 80–88, 2012.

KEY, S. W.

[A] “A Variational Principle for Incompressible and Nearly Incompressible Anisotropic Elasticity,” International Journal of Solids and Structures, Vol. 5, pp. 951–964, 1969.

KIM, D. N., and BATHE, K. J.

[A] "A 4-node 3D-Shell Element to Model Shell Surface Tractions and Incompressible Behavior," Computers & Structures, Vol. 86, pp. 2027-2041, 2008.

[B] "A Triangular Six-Node Shell Element," Computers & Structures, Vol. 87, pp. 1451-1460, 2009.

KIM, D. N., MONTÁNS, F. J., and BATHE, K. J.

[A] “Insight into a Model for Large Strain Anisotropic Elasto-Plasticity,” Computational Mechanics, Vol. 44, pp. 651–668, 2009.

KIM, J. H., and BATHE, K. J.

[A] "The Finite Element Method Enriched by Interpolation Covers," Computers & Structures, Vol. 116, pp. 35-49, 2013.

[B] "Towards a Procedure to Automatically Improve Finite Element Solutions by Interpolation Covers," Computers & Structures, Vol. 131, pp. 81-87, 2014.

KOHNO, H., and BATHE, K. J.

[A] "Insight into the Flow-Condition-Based Interpolation Finite Element Approach: Solution of Steady-State Advection-Diffusion Problems," International Journal for Numerical Methods in Engineering, Vol. 63, pp. 197–217, 2005.

[B] "A Flow-Condition-Based Interpolation Finite Element Procedure for Triangular Grids," International Journal for Numerical Methods in Fluids, Vol. 51, pp. 673–699, 2006.

KOJIĆ, M., and BATHE, K. J.

[A] “Studies of Finite Element Procedures—Stress Solution of a Closed Elastic Strain Path with Stretching and Shearing Using the Updated Lagrangian Jaumann Formulation,” Computers & Structures, Vol. 26, pp. 175—179, 1987.

[B] “The ‘Effective-Stress-Function’ Algorithm for Thermo-Elasto-Plasticity and Creep,” International Journal for Numerical Methods in Engineering, Vol. 24, pp. 1509–1532, 1987.

[C] Inelastic Analysis of Solids and Structures, Springer, 2005.

KRÄTZIG, W. B., and JUN, D.

[A] “On ‘Best’ Shell Models—From Classical Shells, Degenerated and Multilayered Concepts to 3D”, Archive of Applied Mechanics, Vol. 73, pp. 1–25, 2003.

KRAUS, H.

[A] Creep Analysis, John Wiley, New York, 1980.

KREYSZIG, E.

[A] Advanced Engineering Mathematics, 5 $^{th}$ ed., John Wiley, New York, 1983.

KRIEG, R. D., and KRIEG, D. B.

[A] "Accuracies of Numerical Simulation Methods for the Elastic-Perfectly Plastic Model," Journal of Pressure Vessel Technology, Vol. 99, No. 4, pp. 510–515, Nov. 1977.

<!-- source-page: 1043 -->

LANCZOS, C.

[A] “An Iteration Method for the Solution of the Eigenvalue Problem of Linear Differential and Integral Operators,” Journal of Research of the National Bureau of Standards, Vol. 45, pp. 255–282, 1950.

LEE, E. H.

[A] "Elastic-Plastic Deformation at Finite Strains," Journal of Applied Mechanics, Vol. 36, pp. 1–6, 1969.

LEE, N. S., and BATHE, K. J.

[A] "Effects of Element Distortions on the Performance of Isoparametric Elements," International Journal for Numerical Methods in Engineering, Vol. 36, pp. 3553-3576, 1993.

[B] "Error Indicators and Adaptive Remeshing in Large Deformation Finite Element Analysis," Finite Elements in Analysis and Design, Vol. 16, pp. 99-139, 1994.

LEE, P. S., and BATHE, K. J.

[A] "Development of MITC Isotropic Triangular Shell Finite Elements," Computers & Structures, Vol. 82, pp. 945-962, 2004.

[B] "Insight into Finite Element Shell Discretizations by Use of the 'Basic Shell Mathematical Model'," Computers & Structures, Vol. 83, pp. 69-90, 2005.

[C] "The Quadratic MITC Plate and MITC Shell Elements in Plate Bending," Advances in Engineering Software, Vol. 41, pp. 712-728, 2010.

LEE, Y., LEE, P. S., and BATHE, K. J.

[A] “The MITC3+ Shell Element and its Performance,” Computers & Structures, Vol. 138, pp. 12–23, 2014.

LE TALLEC, P., and RUAS, V.

[A] "On the Convergence of the Bilinear-Velocity Constant-Pressure Finite Element Method in Viscous Flow," Computer Methods in Applied Mechanics and Engineering, Vol. 54, pp. 235-243, 1986.

LIENHARD, J. H.

[A] A Heat Transfer Textbook, Prentice-Hall, Englewood Cliffs, NJ, 1987.

LIU, G. R.

[A] Meshfree Methods: Moving Beyond the Finite Element Method, $2^{nd}$ ed., CRC Press, 2012.

LIU, W. K., HU, Y. K., and BELYTSCHKO, T.

[A] "Multiple Quadrature Underintegrated Finite Elements," International Journal for Numerical Methods In Engineering, Vol. 37, pp. 3263-3289, 1994.

LIU, W. K., JUN, S., and ZHANG, Y. F.

[A] "Reproducing Kernel Particle Methods," International Journal for Numerical Methods in Fluids, Vol. 20, No. 8–9, pp. 1081–1106, 1995.

LIGHTFOOT, E.

[A] Moment Distribution: a Rapid Method of Analysis for Rigid-Jointed Structures. Taylor & Francis, 1961.

LISZKA, T. J., DUARTE, C. A. M., and TWORZYDLO, W. W.

[A] "Hp-Meshless Cloud Method," Computer Methods in Applied Mechanics and Engineering, Vol. 139, pp. 263-288, 1996.

LOVADINA, C.

[A] "Analysis of Strain-Pressure Finite Element Methods for the Stokes Problem," Numerical Methods for Partial Differential Equations, Vol. 13, pp. 717-730, 1997.

LOWAN, A. N., DAVIDS, N., and LEVENSON, A.

[A] “Table of the Zeros of the Legendre Polynomials of Order 1–16 and the Weight Coefficients for Gauss’ Mechanical Quadrature Formula,” Bulletin of the American Mathematical Society, Vol. 48, pp. 739–743, 1942.

LUBLINER, J.

[A] "Normality Rules in Large-Deformation Plasticity," Mechanics of Materials, Vol. 5, pp. 29-34, 1986.

<!-- source-page: 1044 -->

MA, S. M., and BATHE, K. J.   
[A] “On the Finite Element Analysis of Pipe Whip Problems,” Nuclear Engineering and Design, Vol. 37, pp. 413–430, 1976.   
MA, G. W., AN, X. M., ZHANG, H. H., and LI, L. X.   
[A] "Modeling Complex Crack Problems Using the Numerical Manifold Method," International Journal of Fracture, Vol. 156, pp. 21-35, 2009.   
MACNEAL, R. H.   
[A] “Derivation of Element Stiffness Matrices by Assumed Strain Distributions,” Nuclear Engineering and Design, Vol. 70, pp. 3–12, 1982.   
MALVERN, L. E.   
[A] Introduction to the Mechanics of a Continuous Medium, Prentice-Hall, Englewood Cliffs, NJ, 1969.   
MANTEUFFEL, T. A.   
[A] “An Incomplete Factorization Technique for Positive Definite Linear Systems,” Mathematics of Computation, Vol. 34, pp 473–497, 1980.   
MARTIN, R. S., PETERS, G., and WILKINSON, J. H.   
[A] “Symmetric Decomposition of a Positive Definite Matrix,” Numerische Mathematik, Vol. 7, pp. 362–383, 1965.   
MARTIN, R. S., REINSCH, C., and WILKINSON, J. H.   
[A] “Householder’s Tridiagonalization of a Symmetric Matrix,” Numerische Mathematik, Vol. 11, pp. 181–195, 1968.   
MATTHIES, H.   
[A] "Computable Error Bounds for the Generalized Symmetric Eigenproblem," Communications in Applied Numerical Methods, Vol. 1, pp. 33-38, 1985.   
[B] “A Subspace Lanczos Method for the Generalized Symmetric Eigenproblem,” Computers & Structures, Vol. 21, pp. 319–325, 1985.   
MATTHIES, H., and STRANG, G.   
[A] "The Solution of Nonlinear Finite Element Equations," International Journal for Numerical Methods in Engineering, Vol. 14, pp. 1613-1626, 1979.   
MEIJERINK, J. A., and VAN DER VORST, H. A.   
[A] “Guidelines for the Usage of Incomplete Decompositions in Solving Sets of Linear Equations as They Occur in Practical Problem,” Journal of Computational Physics, Vol. 44, pp. 134–155, 1981.   
MELENK, J. M., and BABUŠKA, I.   
[A] “The Partition of Unity Finite Element Method: Basic Theory and Applications,” Computer Methods in Applied Mechanics and Engineering, Vol. 139, No. 1–4, pp. 289–314, 1996.   
MENDELSON, A.   
[A] Plasticity: Theory and Application, Robert E. Krieger, Malabar, FL, 1983.   
MIKHLIN, S. G.   
[A] Variational Methods in Mathematical Physics, Pergamon Press, Elmsford, NY, 1964.   
MINDLIN, R. D.   
[A] "Influence of Rotary Inertia and Shear on Flexural Motion of Isotropic Elastic Plates," Journal of Applied Mechanics, Vol. 18, pp. 31-38, 1951.   
MINKOWYCZ, W. J., SPARROW, E. M., SCHNEIDER, G. E., and PLETCHER, R. H.   
[A] Handbook of Numerical Heat Transfer, John Wiley & Sons, Inc., 1988.   
MOËS, N., DOLBOW, J., and BELYTSCHKO, T.   
[A] “A Finite Element Method for Crack Growth Without Remeshing,” International Journal for Numerical Methods in Engineering, Vol. 46, No. 1, pp. 131–150, 1999.

<!-- source-page: 1045 -->

MONTÁNS, F. J., and BATHE, K. J.

[A] "Computational Issues in Large Strain Elasto-Plasticity: An Algorithm for Mixed Hardening and Plastic Spin," International Journal for Numerical Methods in Engineering, Vol. 63, pp. 159–196, 2005.

NEWMARK, N. M.

[A] "A Method of Computation for Structural Dynamics," ASCE Journal of Engineering Mechanics Division, Vol. 85, pp. 67-94, 1959.

NITIKITPAIBOON, C., and BATHE, K. J.

[A] "Fluid-Structure Interaction Analysis with a Mixed Displacement-Pressure Formulation," Finite Element Research Group, Mechanical Engineering Department, Report 92-1, Massachusetts Institute of Technology, Cambridge, MA, June 1992.

[B] "An Arbitrary Lagrangian-Eulerian Velocity Potential Formulation for Fluid-Structure Interaction," Computers & Structures, Vol. 47, pp. 871-891, 1993.

NOBLE, B.

[A] Applied Linear Algebra, Prentice-Hall, Englewood Cliffs, NJ, 1969.

NOELS, L., and RADOVITZKY, R.

[A] “A General Discontinuous Galerkin Method for Finite Hyperelasticity. Formulation and Numerical Applications,” International Journal for Numerical Methods in Engineering, Vol. 68, No. 1, pp. 64–97, 2006.

NOH, G., and BATHE, K. J.

[A] "An Explicit Time Integration Scheme for the Analysis of Wave Propagations," Computers & Structures, Vol. 129, pp. 178–193, 2013.

NOH, G., HAM, S., and BATHE, K. J.

[A] "Performance of an Implicit Time Integration Scheme in the Analysis of Wave Propagations," Computers & Structures, Vol. 123, pp. 93-105, 2013.

NOOR, A. K.

[A] "Bibliography of Books and Monographs on Finite Element Technology," Applied Mechanics Reviews, Vol. 44, No. 6, pp. 307–317, June 1991.

ODEN, J. T., and BATHE, K. J.

[A] "A Commentary on Computational Mechanics," Applied Mechanics Reviews, Vol. 31, No. 8, pp. 1053–1058, August 1978.

ODEN, J. T., DUARTE, C. A. M., and ZIENKIEWICZ, O. C.

[A] "A New Cloud-based hp Finite Element Method," Computer Methods in Applied Mechanics and Engineering, Vol. 153, pp. 117-126, 1998.

OGDEN, R. W.

[A] Nonlinear Elastic Deformations, Ellis Horwood, Chichester, U.K., 1984.

OLSON, L. G., and BATHE, K. J.

[A] "Analysis of Fluid-Structure Interactions. A Direct Symmetric Coupled Formulation Based on the Fluid Velocity Potential," Computers & Structures, Vol. 21, pp. 21-32, 1985.

OÑATE, E., IDELSOHN, S., ZIENKIEWICZ, O. C., and TAYLOR, R. L.

[A] "A Finite Point Method in Computational Mechanics. Applications to Convective Transport and Fluid Flow," International Journal for Numerical Methods in Engineering, Vol. 39, No. 22, pp. 3839-3866, 1996.

ORTIZ, M., and POPOV, E. P.

[A] "Accuracy and Stability of Integration Algorithms for Elastoplastic Constitutive Relations," International Journal for Numerical Methods in Engineering, Vol. 21, pp. 1561-1576, 1985.

OSTROWSKI, A. M.

[A] "On the Convergence of the Rayleigh Quotient Iteration for the Computation of the Characteristic Roots and Vectors, Parts I–VI," Archive for Rational Mechanics and Analysis, Vols. 1–3, 1957–1959.

<!-- source-page: 1046 -->

PAIGE, C. C.

[A] "Computational Variants of the Lanczos Method for the Eigenproblem," Journal of the Institute of Mathematics and Its Applications, Vol. 10, pp. 373-381, 1972.   
[B] “Accuracy and Effectiveness of the Lanczos Algorithm for the Symmetric Eigenproblem,” Linear Algebra and Its Applications, Vol. 34, pp. 235–258, 1980.

PANTUSO, D., and BATHE, K. J.

[A] “A Four-Node Quadrilateral Mixed-Interpolated Element for Solids and Fluids,” Mathematical Models and Methods in Applied Sciences, Vol. 5, No. 8, pp. 1113–1128, 1995.   
[B] “On the Stability of Mixed Finite Elements in Large Strain Analysis of Incompressible Solids,” Finite Elements in Analysis and Design, Vol. 28, pp. 83–104, 1997.

PANTUSO, D., BATHE, K. J., and BOUZINOV, P. A.

[A] “A Finite Element Procedure for the Analysis of Thermo-Mechanical Solids in Contact,” Computers & Structures, Vol. 75, pp. 551–573, 2000.

PARK, K. C., and STANLEY, G. M.

[A] “A Curved C $^{0}$ Shell Element Based on Assumed Natural-Coordinate Strains,” Journal of Applied Mechanics, Vol. 53, pp. 278–290, 1986.

PARLETT, B. N.

[A] “Global Convergence of the Basic QR Algorithm on Hessenberg Matrices,” Mathematics of Computation, Vol. 22, pp. 803–817, 1968.   
[B] “Convergence of the QR Algorithm,” Numerische Mathematik, Vol. 7, pp. 187–193, 1965; Vol. 10, pp. 163–164, 1967.

PARLETT, B. N., and SCOTT, D. S.

[A] “The Lanczos Algorithm with Selective Orthogonalization,” Mathematics of Computation, Vol. 33, No. 145, pp. 217–238, 1979.

PATANKAR, S. V.

[A] Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing, 1980.

PATERA, A. T.

[A] "A Spectral Element Method for Fluid Dynamics: Laminar Flow in a Channel Expansion," Journal of Computational Physics, Vol. 54, pp. 468–488, 1984.

PAYEN, D. J., and BATHE, K. J.

[A] “A Stress Improvement Procedure,” Computers & Structures, Vol. 112–113, pp. 311–326, 2012.

PERZYNA, P.

[A] "Fundamental Problems in Viscoplasticity," Advances in Applied Mechanics, Vol. 9, pp. 243-377, 1966.

PIAN, T. H. H., and TONG, P.

[A] "Basis of Finite Element Methods for Solid Continua," International Journal for Numerical Methods in Engineering, Vol. 1, pp. 3–28, 1969.

PRADLWARTER, H. J., SCHUËLLER, G. I., and SZEKELY, G. S.

[A] "Random Eigenvalue Problems for Large Systems," Computers & Structures, Vol. 80, pp. 2415-2424, 2002.

PRZEMIENIECKI, J. S.

[A] "Matrix Structural Analysis of Substructures," AIAA Journal, Vol. 1, pp. 138-147, 1963.

RABINOWICZ, E.

[A] Friction and Wear of Materials, John Wiley, 1965.

RABCZUK, T., BELYTSCHKO, T., and XIAO, S. P.

[A] "Stable Particle Methods Based on Lagrangian Kernels," Computer Methods in Applied Mechanics and Engineering, Vol. 193, pp. 1035-1063, 2004.

<!-- source-page: 1047 -->

RAMM, E.

[A] “Strategies for Tracing Nonlinear Responses Near Limit Points,” Nonlinear Finite Element Analysis in Structural Mechanics (W. Wunderlich, E. Stein, and K. J. Bathe, eds.) pp. 63–89, Springer-Verlag, New York, 1981.

REID, J. K.

[A] "On the Method of Conjugate Gradients for the Solution of Large Sparse Systems of Linear Equations," Conference on Large Sparse Sets of Linear Equations, St. Catherine's College, Oxford, pp. 231-254, April 1970.

REISSNER, E.

[A] “On a Variational Theorem in Elasticity,” Journal of Mathematics and Physics, Vol. 29, pp. 90–95, 1950.

[B] "The Effect of Transverse Shear Deformation on the Bending of Elastic Plates," Journal of Applied Mechanics, Vol. 12, pp. A69–A77, 1945.

[C] “On the Theory of Transverse Bending of Elastic Plates,” International Journal of Solids and Structures, Vol. 12, pp. 545–554, 1976.

RICE, J. R.

[A] “Continuum Mechanics and Thermodynamics of Plasticity in Relation to Microscale Deformation Mechanisms,” in Constitutive Equations in Plasticity (A. S. Argon, ed.), pp. 23–79, M.I.T. Press, Cambridge, MA, 1975.

RICHTMYER, R. D., and MORTON, K. W.

[A] Difference Methods for Initial Value Problems, $2^{\mathrm{nd}}$ ed., John Wiley, 1967.

RIKS, E.

[A] “An Incremental Approach to the Solution of Snapping and Bucking Problems,” International Journal of Solids and Structures, Vol. 15, pp. 529–551, 1979.

RITCHIE, R. O., and BATHE, K. J.

[A] "On the Calibration of the Electrical Potential Technique for Monitoring Crack Growth Using Finite Element Methods," International Journal of Fracture, Vol. 15, No. 1, pp. 47–55, 1979.

RITZ, W.

[A] "Über eine neue Methode zur Lösung gewisser Variationsprobleme der mathematischen Physik," Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 135, Heft 1, pp. 1–61, 1908.

RIVLIN, R .S.

[A] "Large Elastic Deformations of Isotropic Materials IV. Further Developments of the General Theory," Philosophical Transactions of the Royal Society of London, Vol. A 241, pp. 379–397, 1948.

RODI, W.

[A] "Turbulence Models and their Application in Hydraulics—A State of the Art Review," International Association for Hydraulic Research, Delft, 1984.

ROLPH, W. D., III, and BATHE, K. J.

[A] "An Efficient Algorithm for Analysis of Nonlinear Heat Transfer with Phase Changes," International Journal for Numerical Methods in Engineering, Vol. 18, pp. 119-134, 1982.

RUBINSTEIN, M. F.

[A] "Combined Analysis by Substructures and Recursion," ASCE Journal of the Structural Division, Vol. 93, No. ST2, pp. 231-235, 1967.

RUGONYI, S., and BATHE, K. J.

[A] "On Finite Element Analysis of Fluid Flows Fully Coupled with Structural Interactions," Computer Modeling in Engineering & Sciences, Vol. 2, pp. 195-212, 2001.

RUTISHAUSER, H.

[A] “Deflation bei Bandmatrizen,” Zeitschrift für Angewandte Mathematik und Physik, Vol. 10, pp. 314–319, 1959.

[B] "Computational Aspects of F. L. Bauer's Simultaneous Iteration Method," Numerische Mathematik, Vol. 13, pp. 4-13, 1969.

<!-- source-page: 1048 -->

SAAD, Y.

[A] Iterative Methods for Sparse Linear Systems, 2 $^{nd}$ ed., Society for Industrial and Applied Mathematics, 2003.

SAAD, Y., and SCHULTZ, M. H.

[A] "GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems," SIAM Journal on Scientific and Statistical Computing, Vol. 7, pp. 856-869, 1986.

SCHLICHTING, H.

[A] Boundary-Layer Theory, $7^{\text{th}}$ ed., McGraw-Hill, New York, 1979.

SCHREYER, H. L., KULAK, R. F., and KRAMER, J. M.

[A] "Accurate Numerical Solutions for Elastic-Plastic Models," Journal of Pressure Vessel Technology, Vol. 101, pp. 226-234, 1979.

SCHWEIZERHOF, K., and RAMM, E.

[A] "Displacement Dependent Pressure Loads in Nonlinear Finite Element Analyses," Computers & Structures, Vol. 18, pp. 1099-1114, 1984.

SEDEH, R. S., BATHE, M., and BATHE, K. J.

[A] "The Subspace Iteration Method in Protein Normal Mode Analysis," Journal of Computational Chemistry, Vol. 31, pp. 66–74, 2010.

SEIDEL, L.

[A] “Über ein Verfahren die Gleichungen auf welche die Methode der Kleinsten Quadrate führt, sowie lineare Gleichungen überhaupt durch successive Annäherung aufzulösen,” Abhandlungen Bayerische Akademie der Wissenschaften, Vol. 11, pp. 81–108, 1874.

SHI, G. H.

[A] "Manifold Method of Material Analysis" in Transactions of the 9th Army Conference on Applied Mathematics And Computing, Report No. 92-1, US Army Research Office, 1991.

SILVESTER, P.

[A] “Newton-Cotes Quadrature Formulae for N-dimensional Simplexes,” Proceedings, 2 $^{nd}$ Canadian Congress on Applied Mechanics, Waterloo, Canada, pp. 361–362, 1969.

SIMO, J. C.

[A] "A Framework for Finite Strain Elastoplasticity Based on Maximum Plastic Dissipation and the Multiplicative Decomposition: Part I: Continuum Formulation," Computer Methods in Applied Mechanics and Engineering, Vol. 66, pp. 199–219, 1988; "Part II: Computational Aspects," Computer Methods in Applied Mechanics and Engineering, Vol. 68, pp. 1–31, 1988.

SIMO, J. C., WRIGGERS, P., and TAYLOR, R. L.

[A] "A Perturbed Lagrangian Formulation for the Finite Element Solution of Contact Problems," Computer Methods in Applied Mechanics and Engineering, Vol. 50, pp. 163-180, 1985.

SNYDER, M. D., and BATHE, K. J.

[A] "A Solution Procedure for Thermo-Elastic-Plastic and Creep Problems," Nuclear Engineering and Design, Vol. 64, pp. 49–80, 1981.

SPALDING, D. B.

[A] “A Novel Finite Difference Formulation for Differential Expressions Involving Both First and Second Derivatives,” International Journal for Numerical Methods in Engineering, Vol. 4, pp. 551–559, 1972.

SPARROW, E. M., and CESS, R. D.

[A] Radiation Heat Transfer (augmented edition), Hemisphere Publishing, 1978.

STOER, J., and BULIRSCH, R.

[A] Introduction to Numerical Analysis, 3 $^{rd}$ ed., Springer-Verlag, 2002.

STOLARSKI, H., and BELYTSCHKO, T.

[A] “Shear and Membrane Locking in Curved C $^{0}$ Elements,” Computer Methods in Applied Mechanics and Engineering, Vol. 41, pp. 279–296, 1983.

<!-- source-page: 1049 -->

STRANG, G., and FIX, G. J.

[A] An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs, NJ, 1973.

STROUBOULIS, T., COPPS, K., and BABUŠKA, I.

[A] "The Generalized Finite Element Method," Computer Methods in Applied Mechanics and Engineering, Vol. 190, No. 32-33, pp. 4081-4193, 2001.

STROUD, A. H., and SECREST, D.

[A] Gaussian Quadrature Formulas, Prentice-Hall, Englewood Cliffs, NJ, 1966.

SUKUMAR, N., MOËS, N., MORAN, B., and BELYTSCHKO, T.

[A] "Extended Finite Element Method for Three-Dimensional Crack Modelling," International Journal for Numerical Methods in Engineering, Vol. 48, No. 11, pp. 1549-1570, 2000.

SUSSMAN, T., and BATHE, K. J.

[A] "Studies of Finite Element Procedures—Stress Band Plots and the Evaluation of Finite Element Meshes," Engineering Computations, Vol. 3, pp. 178–191, 1986.

[B] "A Finite Element Formulation for Nonlinear Incompressible Elastic and Inelastic Analysis," Computers & Structures, Vol. 26, pp. 357-409, 1987.

[C] “A Model of Incompressible Isotropic Hyperelastic Material Behavior using Spline Interpolations of Tension-Compression Test Data,” Communications in Numerical Methods in Engineering, Vol. 25, pp. 53–63, 2009.

[D] "3D-Shell Elements for Structures in Large Strains," Computers & Structures, Vol. 122, pp. 2-12, 2013.

[E] "Spurious Modes in Geometrically Nonlinear Small Displacement Finite Elements with Incompatible Modes," Computers & Structures, Vol. 140, pp. 14-22, 2014.

SYNGE, J. L.

[A] The Hypercircle in Mathematical Physics, Cambridge University Press, London, 1957.

SZABÓ, B., and BABUŠKA, I.

[A] Introduction to Finite Element Analysis: Formulation, Verification and Validation, John Wiley, New York, 1991.

TAIG, I. C.

[A] Structural Analysis by the Matrix Displacement Method, English Electric Aviation Report S017, 1962.

TEDESCO, J. W., MCDOUGAL, W. G., and ROSS, C. A.

[A] Structural Dynamics, Theory and Applications, Addison-Wesley, 1998.

THOMAS, G. B., and FINNEY, R. L.

[A] Calculus and Analytical Geometry, $8^{\text{th}}$ ed., Addison-Wesley, Reading, MA, 1992.

TIAN, R., YAGAWA, G., and TERASAKA, H.

[A] "Linear Dependence Problems of Partition of Unity-Based Generalized FEMs," Computer Methods in Applied Mechanics and Engineering, Vol. 195, pp. 4768-4782, 2006.

TIMOSHENKO, S., and GOODIER, J. N.

[A] Theory of Elasticity, 3 $^{rd}$ ed., McGraw-Hill, New York, 1970.

TIMOSHENKO, S., and WOINOWSKY-KRIEGER, S.

[A] Theory of Plates and Shells, 2 $^{nd}$ ed., McGraw-Hill, New York, 1959.

TURNER, M. J., CLOUGH, R. W., MARTIN, H. C., and TOPP, L. J.

[A] "Stiffness and Deflection Analysis of Complex Structures," Journal of the Aeronautical Sciences, Vol. 23, pp. 805-823, 1956.

VARGA, R. S.

[A] Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1962.

<!-- source-page: 1050 -->

VERRUIJT, A.

[A] Theory of Groundwater Flow, Gordon and Breach, New York, 1970.

WANG, X.

[A] Fundamentals of Fluid-Solid Interactions: Analytical and Computational Approaches, Oxford Press, 2008.

WANG, X., and BATHE, K. J.

[A] “On Mixed Elements for Acoustic Fluid-Structure Interactions,” Mathematical Models and Methods in Applied Sciences, Vol. 7, No. 3, pp. 329–343, 1997.

WASHIZU, K.

[A] "On the Variational Principles of Elasticity and Plasticity," Aeroelastic and Structures Research Laboratory Technical Report No. 25–18, Massachusetts Institute of Technology, Cambridge, MA, March 1955.

[B] Variational Methods in Elasticity and Plasticity, Pergamon Press, Elmsford, NY, 1975.

WEBER, G., and ANAND, L.

[A] "Finite Deformation Constitutive Equations and a Time Integration Procedure for Isotropic, Hyperelastic-Viscoplastic Solids," Computer Methods in Applied Mechanics and Engineering, Vol. 79, No. 2, pp. 173–202, 1990.

WHITE, F. M.

[A] Fluid Mechanics, McGraw-Hill, 1986.

WILKINS, M. L.

[A] "Calculation of Elastic-Plastic Flow," in B. Alder, S. Fernbach, and M. Rotenberg (eds.) Methods in Computational Physics, Vol. 3, pp. 211-263, Academic Press, New York, 1964.

WILKINSON, J. H.

[A] The Algebraic Eigenvalue Problem, Oxford University Press, New York, 1965.

[B] "The QR Algorithm for Real Symmetric Matrices with Multiple Eigenvalues," The Computer Journal, Vol. 8, pp. 85–87, 1965.

WILSON, E. L.

[A] "Structural Analysis of Axisymmetric Solids," AIAA Journal, Vol. 3, pp. 2269-2274, 1965.

[B] "The Static Condensation Algorithm," International Journal for Numerical Methods in Engineering, Vol. 8, pp. 199–203, 1974.

WILSON, E. L., FARHOOMAND, I., and BATHE, K. J.

[A] “Nonlinear Dynamic Analysis of Complex Structures,” Earthquake Engineering and Structural Dynamics, Vol. 1, pp. 241–252, 1973.

WILSON, E. L., and IBRAHIMBEGOVIC, A.

[A] "Use of Incompatible Displacement Modes for the Calculation of Element Stiffnesses or Stresses," Finite Elements in Analysis and Design, Vol. 7, pp. 229-241, 1990.

WILSON, E. L., TAYLOR, R. L., DOHERTY, W. P., and GHABOUSSI, J.

[A] “Incompatible Displacement Models,” in Numerical and Computer Methods in Structural Mechanics (S. J. Fenves, N. Perrone, A. R. Robinson, and W. C. Schnobrich, eds.), Academic Press, New York, pp. 43–57, 1973.

WRIGGERS, P.

[A] Computational Contact Mechanics, 2 $^{nd}$ ed., Springer 2006.

WRIGGERS, P., and REESE, S.

[A] "A Note on Enhanced Strain Methods for Large Deformations," Computer Methods in Applied Mechanics and Engineering, Vol. 135, No. 3–4, pp. 201–209, 1996.

WUNDERLICH, W.

[A] "Ein verallgemeinertes Variationsverfahren zur vollen oder teilweisen Diskretisierung mehrdimensionaler Elastizitätsprobleme," Ingenieur-Archiv, Vol. 39, pp. 230–247, 1970.