global_petrov_galerkin_rom_builder_and_solver.h File Reference

#include <Eigen/Core>
#include <Eigen/Dense>
#include "includes/define.h"
#include "includes/model_part.h"
#include "solving_strategies/schemes/scheme.h"
#include "custom_strategies/global_rom_builder_and_solver.h"
#include "utilities/builtin_timer.h"
#include "utilities/dense_householder_qr_decomposition.h"
#include "rom_application_variables.h"
#include "custom_utilities/rom_auxiliary_utilities.h"
#include "custom_utilities/rom_residuals_utility.h"

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Classes
class	Kratos::GlobalPetrovGalerkinROMBuilderAndSolver< TSparseSpace, TDenseSpace, TLinearSolver >
	This class provides an implementation for the GlobalPetrovGalerkinROM builder and solver operations. This Builder and Solver (B&S) now inherits from the GlobalROMBuilderAndSolver, which in turn inherits from the ResidualBasedBlockBuilderAndSolver. The Right-Hand Side (RHS) is composed of unbalanced loads (residual) and is constructed using the ResidualBasedBlockBuilderAndSolver. Similarly, the Left-Hand Side (LHS) is constructed using the ResidualBasedBlockBuilderAndSolver and is then multiplied by the ROM RIGHT BASIS. We then project it onto the ROM LEFT BASIS, yielding a rectangular system (ROM size) that is then solved using the QR decomposition. The degrees of freedom are rearranged so that the restrained ones are placed at the end of the system, ordered inversely to the DofSet, mirroring the arrangement in the Full Order Model (FOM). More...

Namespaces
	Kratos
	REF: G. R. Cowper, GAUSSIAN QUADRATURE FORMULAS FOR TRIANGLES.