feat(nonlinear-static-newton-raphson): step 10 - prepared-analysis-flow-and-full-procedure

include/fesa/analysis/linear_static_procedure.h

@@ -0,0 +1,31 @@
+#ifndef FESA_ANALYSIS_LINEAR_STATIC_PROCEDURE_H_
+#define FESA_ANALYSIS_LINEAR_STATIC_PROCEDURE_H_
+
+#include "fesa/analysis/prepared_analysis.h"
+
+namespace fesa {
+
+class LinearSolver;
+class ParallelFor;
+
+/// @brief Executes the approved linear-static procedure on a prepared Domain.
+class LinearStaticProcedureExecutor {
+ public:
+  /// @brief Creates a procedure executor with caller-owned backend adapters.
+  /// @param parallel_for Deterministic element-local execution adapter.
+  /// @param linear_solver Factorization and substitution adapter.
+  LinearStaticProcedureExecutor(const ParallelFor& parallel_for,
+                                LinearSolver& linear_solver);
+
+  /// @brief Computes linear-static state without writing HDF5 output.
+  /// @return A validated state and sorted diagnostics, or a procedure failure.
+  Result<LinearStaticExecutionResult> Execute(const Domain& domain) const;
+
+ private:
+  const ParallelFor& parallel_for_;
+  LinearSolver& linear_solver_;
+};
+
+}  // namespace fesa
+
+#endif  // FESA_ANALYSIS_LINEAR_STATIC_PROCEDURE_H_