The IsoLinElasticSolver class provides a solver for linear isotropic elasticity. The solver provides options for partial assembly, dFEM based integrators, and full assembly. The preconditioners are based on block LOR approximations. More...

#include <mtop_solvers.hpp>

Inheritance diagram for IsoLinElasticSolver:

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Collaboration diagram for IsoLinElasticSolver:

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Classes
class	NqptUniformParameterSpace

Public Member Functions
	IsoLinElasticSolver (mfem::ParMesh *mesh, int vorder=1, bool pa=false, bool dfem=false)

	~IsoLinElasticSolver ()
	Destructor of the solver.

void	SetLinearSolver (real_t rtol=1e-8, real_t atol=1e-12, int miter=200)

void	FSolve ()
	Solves the forward problem.

void	AddDispBC (int id, int dir, real_t val)
	Adds displacement BC in direction 0(x), 1(y), 2(z), or -1(all).

void	AddDispBC (int id, int dir, mfem::Coefficient &val)
	Adds displacement BC in direction 0(x), 1(y), 2(z), or -1(all).

void	DelDispBC ()
	Clear all displacement BC.

void	SetVolForce (real_t fx, real_t fy, real_t fz=0.0)
	Set the values of the volumetric force.

void	AddSurfLoad (int id, real_t fx, real_t fy, real_t fz=0.0)
	Add surface load.

void	AddSurfLoad (int id, mfem::VectorCoefficient &ff)
	Add surface load.

void	SetVolForce (mfem::VectorCoefficient &ff)
	Associates coefficient to the volumetric force.

mfem::ParGridFunction &	GetDisplacements ()
	Returns the displacements.

mfem::ParGridFunction &	GetADisplacements ()
	Returns the adjoint displacements.

mfem::Vector &	GetSolutionVector ()
	Returns the solution vector.

mfem::Vector &	GetAdjointSolutionVector ()
	Returns the adjoint solution vector.

void	GetSol (mfem::ParGridFunction &sgf)
	Returns the displacements.

void	GetAdj (mfem::ParGridFunction &agf)
	Returns the adjoint displacements.

virtual void	Assemble ()

void	Mult (const mfem::Vector &x, mfem::Vector &y) const override
	Forward solve with given RHS. x is the RHS vector.

void	MultTranspose (const mfem::Vector &x, mfem::Vector &y) const override

void	SetMaterial (mfem::Coefficient &E_, mfem::Coefficient &nu_)
	Set material.

void	SetEssTDofs (mfem::Vector &bsol, mfem::Array< int > &ess_dofs)

void	SetEssTDofs (const int j, mfem::ParFiniteElementSpace &scalar_space, mfem::Array< int > &ess_dofs)

Public Member Functions inherited from mfem::Operator
void	InitTVectors (const Operator Po, const Operator Ri, const Operator *Pi, Vector &x, Vector &b, Vector &X, Vector &B) const
	Initializes memory for true vectors of linear system.

	Operator (int s=0)
	Construct a square Operator with given size s (default 0).

	Operator (int h, int w)
	Construct an Operator with the given height (output size) and width (input size).

int	Height () const
	Get the height (size of output) of the Operator. Synonym with NumRows().

int	NumRows () const
	Get the number of rows (size of output) of the Operator. Synonym with Height().

int	Width () const
	Get the width (size of input) of the Operator. Synonym with NumCols().

int	NumCols () const
	Get the number of columns (size of input) of the Operator. Synonym with Width().

virtual MemoryClass	GetMemoryClass () const
	Return the MemoryClass preferred by the Operator.

virtual void	AbsMult (const Vector &x, Vector &y) const
	Action of the absolute-value operator: `y=\|A\|(x)`. The default behavior in class Operator is to generate an error. If the Operator is a composition of several operators, the composition unfold into a product of absolute-value operators too.

virtual void	AbsMultTranspose (const Vector &x, Vector &y) const
	Action of the transpose absolute-value operator: `y=\|A\|^t(x)`. The default behavior in class Operator is to generate an error.

virtual void	AddMult (const Vector &x, Vector &y, const real_t a=1.0) const
	Operator application: `y+=A(x)` (default) or `y+=a*A(x)`.

virtual void	AddMultTranspose (const Vector &x, Vector &y, const real_t a=1.0) const
	Operator transpose application: `y+=A^t(x)` (default) or `y+=a*A^t(x)`.

virtual void	ArrayMult (const Array< const Vector * > &X, Array< Vector * > &Y) const
	Operator application on a matrix: `Y=A(X)`.

virtual void	ArrayMultTranspose (const Array< const Vector * > &X, Array< Vector * > &Y) const
	Action of the transpose operator on a matrix: `Y=A^t(X)`.

virtual void	ArrayAddMult (const Array< const Vector * > &X, Array< Vector * > &Y, const real_t a=1.0) const
	Operator application on a matrix: `Y+=A(X)` (default) or `Y+=a*A(X)`.

virtual void	ArrayAddMultTranspose (const Array< const Vector * > &X, Array< Vector * > &Y, const real_t a=1.0) const
	Operator transpose application on a matrix: `Y+=A^t(X)` (default) or `Y+=a*A^t(X)`.

virtual Operator &	GetGradient (const Vector &x) const
	Evaluate the gradient operator at the point x. The default behavior in class Operator is to generate an error.

virtual void	AssembleDiagonal (Vector &diag) const
	Computes the diagonal entries into diag. Typically, this operation only makes sense for linear Operators. In some cases, only an approximation of the diagonal is computed.

virtual const Operator *	GetProlongation () const
	Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. `NULL` means identity.

virtual const Operator *	GetRestriction () const
	Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. `NULL` means identity.

virtual const Operator *	GetOutputProlongation () const
	Prolongation operator from linear algebra (linear system) vectors, to output vectors for the operator. `NULL` means identity.

virtual const Operator *	GetOutputRestrictionTranspose () const
	Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators.

virtual const Operator *	GetOutputRestriction () const
	Restriction operator from output vectors for the operator to linear algebra (linear system) vectors. `NULL` means identity.

void	FormLinearSystem (const Array< int > &ess_tdof_list, Vector &x, Vector &b, Operator *&A, Vector &X, Vector &B, int copy_interior=0)
	Form a constrained linear system using a matrix-free approach.

void	FormRectangularLinearSystem (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Vector &x, Vector &b, Operator *&A, Vector &X, Vector &B)
	Form a column-constrained linear system using a matrix-free approach.

virtual void	RecoverFEMSolution (const Vector &X, const Vector &b, Vector &x)
	Reconstruct a solution vector x (e.g. a GridFunction) from the solution X of a constrained linear system obtained from Operator::FormLinearSystem() or Operator::FormRectangularLinearSystem().

void	FormSystemOperator (const Array< int > &ess_tdof_list, Operator *&A)
	Return in A a parallel (on truedofs) version of this square operator.

void	FormRectangularSystemOperator (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Operator *&A)
	Return in A a parallel (on truedofs) version of this rectangular operator (including constraints).

void	FormDiscreteOperator (Operator *&A)
	Return in A a parallel (on truedofs) version of this rectangular operator.

void	PrintMatlab (std::ostream &out, int n, int m=0) const
	Prints operator with input size n and output size m in Matlab format.

virtual void	PrintMatlab (std::ostream &out) const
	Prints operator in Matlab format.

virtual	~Operator ()
	Virtual destructor.

Type	GetType () const
	Return the type ID of the Operator class.

Additional Inherited Members
Public Types inherited from mfem::Operator
enum	DiagonalPolicy { DIAG_ZERO , DIAG_ONE , DIAG_KEEP }
	Defines operator diagonal policy upon elimination of rows and/or columns. More...

enum	Type { ANY_TYPE , MFEM_SPARSEMAT , Hypre_ParCSR , PETSC_MATAIJ , PETSC_MATIS , PETSC_MATSHELL , PETSC_MATNEST , PETSC_MATHYPRE , PETSC_MATGENERIC , Complex_Operator , MFEM_ComplexSparseMat , Complex_Hypre_ParCSR , Complex_DenseMat , MFEM_Block_Matrix , MFEM_Block_Operator }
	Enumeration defining IDs for some classes derived from Operator. More...

Protected Member Functions inherited from mfem::Operator
void	FormConstrainedSystemOperator (const Array< int > &ess_tdof_list, ConstrainedOperator *&Aout)
	see FormSystemOperator()

void	FormRectangularConstrainedSystemOperator (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, RectangularConstrainedOperator *&Aout)
	see FormRectangularSystemOperator()

Operator *	SetupRAP (const Operator Pi, const Operator Po)
	Returns RAP Operator of this, using input/output Prolongation matrices Pi corresponds to "P", Po corresponds to "Rt".

Protected Attributes inherited from mfem::Operator
int	height
	Dimension of the output / number of rows in the matrix.

int	width
	Dimension of the input / number of columns in the matrix.

Detailed Description

The IsoLinElasticSolver class provides a solver for linear isotropic elasticity. The solver provides options for partial assembly, dFEM based integrators, and full assembly. The preconditioners are based on block LOR approximations.

Definition at line 78 of file mtop_solvers.hpp.

Constructor & Destructor Documentation

◆ IsoLinElasticSolver()

IsoLinElasticSolver::IsoLinElasticSolver	(	mfem::ParMesh *	mesh,
		int	vorder = 1,
		bool	pa = false,
		bool	dfem = false )

Construct the solver for a given mesh and discretization order. The parameters pa and dfem define the utilization of partial assembly or dFEM based integrators.

Definition at line 48 of file mtop_solvers.cpp.

◆ ~IsoLinElasticSolver()

IsoLinElasticSolver::~IsoLinElasticSolver ( )

Destructor of the solver.

Definition at line 110 of file mtop_solvers.cpp.

Member Function Documentation

◆ AddDispBC() [1/2]

void IsoLinElasticSolver::AddDispBC	(	int	id,
		int	dir,
		mfem::Coefficient &	val )

Adds displacement BC in direction 0(x), 1(y), 2(z), or -1(all).

Definition at line 188 of file mtop_solvers.cpp.

◆ AddDispBC() [2/2]

void IsoLinElasticSolver::AddDispBC	(	int	id,
		int	dir,
		real_t	val )

Adds displacement BC in direction 0(x), 1(y), 2(z), or -1(all).

Definition at line 141 of file mtop_solvers.cpp.

◆ AddSurfLoad() [1/2]

void IsoLinElasticSolver::AddSurfLoad	(	int	id,
		mfem::VectorCoefficient &	ff )

inline

Add surface load.

Definition at line 126 of file mtop_solvers.hpp.

◆ AddSurfLoad() [2/2]

void IsoLinElasticSolver::AddSurfLoad	(	int	id,
		real_t	fx,
		real_t	fy,
		real_t	fz = 0.0 )

inline

Add surface load.

Definition at line 113 of file mtop_solvers.hpp.

◆ Assemble()

void IsoLinElasticSolver::Assemble ( )

virtual

Sets BC dofs, bilinear form, preconditioner and solver. Should be called before calling Mult of MultTranspose

Definition at line 368 of file mtop_solvers.cpp.

◆ DelDispBC()

void IsoLinElasticSolver::DelDispBC ( )

Clear all displacement BC.

Definition at line 175 of file mtop_solvers.cpp.

◆ FSolve()

void IsoLinElasticSolver::FSolve ( )

Solves the forward problem.

Definition at line 516 of file mtop_solvers.cpp.

◆ GetADisplacements()

mfem::ParGridFunction & IsoLinElasticSolver::GetADisplacements ( )

inline

Returns the adjoint displacements.

Definition at line 142 of file mtop_solvers.hpp.

◆ GetAdj()

void IsoLinElasticSolver::GetAdj ( mfem::ParGridFunction & agf )

inline

Returns the adjoint displacements.

Definition at line 162 of file mtop_solvers.hpp.

◆ GetAdjointSolutionVector()

mfem::Vector & IsoLinElasticSolver::GetAdjointSolutionVector ( )

inline

Returns the adjoint solution vector.

Definition at line 152 of file mtop_solvers.hpp.

◆ GetDisplacements()

mfem::ParGridFunction & IsoLinElasticSolver::GetDisplacements ( )

inline

Returns the displacements.

Definition at line 135 of file mtop_solvers.hpp.

◆ GetSol()

void IsoLinElasticSolver::GetSol ( mfem::ParGridFunction & sgf )

inline

Returns the displacements.

Definition at line 155 of file mtop_solvers.hpp.

◆ GetSolutionVector()

mfem::Vector & IsoLinElasticSolver::GetSolutionVector ( )

inline

Returns the solution vector.

Definition at line 149 of file mtop_solvers.hpp.

◆ Mult()

void IsoLinElasticSolver::Mult	(	const mfem::Vector &	x,
		mfem::Vector &	y ) const

overridevirtual

Forward solve with given RHS. x is the RHS vector.

Implements mfem::Operator.

Definition at line 339 of file mtop_solvers.cpp.

◆ MultTranspose()

void IsoLinElasticSolver::MultTranspose	(	const mfem::Vector &	x,
		mfem::Vector &	y ) const

overridevirtual

Adjoint solve with given RHS. x is the RHS vector. The essential BCs are set to zero.

Reimplemented from mfem::Operator.

Definition at line 352 of file mtop_solvers.cpp.

◆ SetEssTDofs() [1/2]

void IsoLinElasticSolver::SetEssTDofs	(	const int	j,
		mfem::ParFiniteElementSpace &	scalar_space,
		mfem::Array< int > &	ess_dofs )

Definition at line 224 of file mtop_solvers.cpp.

◆ SetEssTDofs() [2/2]

void IsoLinElasticSolver::SetEssTDofs	(	mfem::Vector &	bsol,
		mfem::Array< int > &	ess_dofs )

Definition at line 245 of file mtop_solvers.cpp.

◆ SetLinearSolver()

void IsoLinElasticSolver::SetLinearSolver	(	real_t	rtol = 1e-8,
		real_t	atol = 1e-12,
		int	miter = 200 )

Sets the linear solver relative tolerance (rtol), absolute tolerance (atol) and maximum number of iterations miter.

Definition at line 132 of file mtop_solvers.cpp.

◆ SetMaterial()

void IsoLinElasticSolver::SetMaterial	(	mfem::Coefficient &	E_,
		mfem::Coefficient &	nu_ )

inline

Set material.

Definition at line 180 of file mtop_solvers.hpp.

◆ SetVolForce() [1/2]

void IsoLinElasticSolver::SetVolForce ( mfem::VectorCoefficient & ff )

Associates coefficient to the volumetric force.

Definition at line 218 of file mtop_solvers.cpp.

◆ SetVolForce() [2/2]

void IsoLinElasticSolver::SetVolForce	(	real_t	fx,
		real_t	fy,
		real_t	fz = 0.0 )

Set the values of the volumetric force.

Definition at line 207 of file mtop_solvers.cpp.

The documentation for this class was generated from the following files:

miniapps/mtop/mtop_solvers.hpp
miniapps/mtop/mtop_solvers.cpp

Classes

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ IsoLinElasticSolver()

◆ ~IsoLinElasticSolver()

Member Function Documentation

◆ AddDispBC() [1/2]

◆ AddDispBC() [2/2]

◆ AddSurfLoad() [1/2]

◆ AddSurfLoad() [2/2]

◆ Assemble()

◆ DelDispBC()

◆ FSolve()

◆ GetADisplacements()

◆ GetAdj()

◆ GetAdjointSolutionVector()

◆ GetDisplacements()

◆ GetSol()

◆ GetSolutionVector()

◆ Mult()

◆ MultTranspose()

◆ SetEssTDofs() [1/2]

◆ SetEssTDofs() [2/2]

◆ SetLinearSolver()

◆ SetMaterial()

◆ SetVolForce() [1/2]

◆ SetVolForce() [2/2]