lspg_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::LeastSquaresPetrovGalerkinROMBuilderAndSolver< TSparseSpace, TDenseSpace, TLinearSolver >
	This class provides an implementation for the LeastSquaresPetrovGalerkinROM builder and solver operations. This B&S now inherits from the GlobalROMBuilderAndSolver, which in turn inherits from the ResidualBasedBlockBuilderAndSolver. The RHS is composed of unbalanced loads (residual) and is constructed using the ResidualBasedBlockBuilderAndSolver. Similarly, the LHS is constructed using the ResidualBasedBlockBuilderAndSolver and is then multiplied by the ROM RIGHT BASIS. This results in a rectangular system with dimensions of FOM size by ROM size. This system can be solved using either the normal equations or 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 FOM. More...

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