MFEM v4.8.0
Finite element discretization library
Loading...
Searching...
No Matches
mfem::pLaplaceAD< CQVectAutoDiff > Class Template Reference

#include <example.hpp>

Inheritance diagram for mfem::pLaplaceAD< CQVectAutoDiff >:
[legend]
Collaboration diagram for mfem::pLaplaceAD< CQVectAutoDiff >:
[legend]

Public Member Functions

 pLaplaceAD ()
 
 pLaplaceAD (Coefficient &pp_)
 
 pLaplaceAD (Coefficient &pp_, Coefficient &q, Coefficient &ld_)
 
virtual ~pLaplaceAD ()
 
real_t GetElementEnergy (const FiniteElement &el, ElementTransformation &trans, const Vector &elfun) override
 Compute the local energy.
 
void AssembleElementVector (const FiniteElement &el, ElementTransformation &trans, const Vector &elfun, Vector &elvect) override
 Perform the local action of the NonlinearFormIntegrator.
 
void AssembleElementGrad (const FiniteElement &el, ElementTransformation &trans, const Vector &elfun, DenseMatrix &elmat) override
 Assemble the local gradient matrix.
 
- Public Member Functions inherited from mfem::NonlinearFormIntegrator
void SetIntegrationMode (Mode m)
 
bool Patchwise () const
 
void SetPAMemoryType (MemoryType mt)
 
virtual void AssembleFaceVector (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Tr, const Vector &elfun, Vector &elvect)
 Perform the local action of the NonlinearFormIntegrator resulting from a face integral term.
 
virtual void AssembleFaceGrad (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Tr, const Vector &elfun, DenseMatrix &elmat)
 Assemble the local action of the gradient of the NonlinearFormIntegrator resulting from a face integral term.
 
virtual void AssemblePA (const FiniteElementSpace &fes)
 Method defining partial assembly.
 
virtual void AssemblePA (const FiniteElementSpace &trial_fes, const FiniteElementSpace &test_fes)
 
virtual void AssembleGradPA (const Vector &x, const FiniteElementSpace &fes)
 Prepare the integrator for partial assembly (PA) gradient evaluations on the given FE space fes at the state x.
 
virtual real_t GetLocalStateEnergyPA (const Vector &x) const
 Compute the local (to the MPI rank) energy with partial assembly.
 
virtual void AddMultPA (const Vector &x, Vector &y) const
 Method for partially assembled action.
 
virtual void AddMultGradPA (const Vector &x, Vector &y) const
 Method for partially assembled gradient action.
 
virtual void AssembleGradDiagonalPA (Vector &diag) const
 Method for computing the diagonal of the gradient with partial assembly.
 
virtual bool SupportsCeed () const
 Indicates whether this integrator can use a Ceed backend.
 
virtual void AssembleMF (const FiniteElementSpace &fes)
 Method defining fully unassembled operator.
 
virtual void AddMultMF (const Vector &x, Vector &y) const
 
ceed::OperatorGetCeedOp ()
 
virtual ~NonlinearFormIntegrator ()
 
- Public Member Functions inherited from mfem::Integrator
 Integrator (const IntegrationRule *ir=NULL)
 Create a new Integrator, optionally providing a prescribed quadrature rule to use in assembly.
 
virtual void SetIntRule (const IntegrationRule *ir)
 Prescribe a fixed IntegrationRule to use, or set to null to let the integrator choose an appropriate rule.
 
void SetIntegrationRule (const IntegrationRule &ir)
 Prescribe a fixed IntegrationRule to use. Sets the NURBS patch integration rule to null.
 
void SetNURBSPatchIntRule (NURBSMeshRules *pr)
 Sets an integration rule for use on NURBS patches.
 
bool HasNURBSPatchIntRule () const
 Check if a NURBS patch integration rule has been set.
 
const IntegrationRuleGetIntRule () const
 Directly return the IntRule pointer (possibly null) without checking for NURBS patch rules or falling back on a default.
 
const IntegrationRuleGetIntegrationRule () const
 Equivalent to GetIntRule, but retained for backward compatibility with applications.
 

Protected Attributes

Coefficientpp
 
Coefficientcoeff
 
Coefficientload
 
CQVectAutoDiff rdf
 
- Protected Attributes inherited from mfem::NonlinearFormIntegrator
Mode integrationMode = Mode::ELEMENTWISE
 
ceed::OperatorceedOp
 
MemoryType pa_mt = MemoryType::DEFAULT
 
- Protected Attributes inherited from mfem::Integrator
const IntegrationRuleIntRule
 
NURBSMeshRulespatchRules = nullptr
 

Additional Inherited Members

- Public Types inherited from mfem::NonlinearFormIntegrator
enum  Mode { ELEMENTWISE = 0 , PATCHWISE = 1 , PATCHWISE_REDUCED = 2 }
 
- Protected Member Functions inherited from mfem::NonlinearFormIntegrator
 NonlinearFormIntegrator (const IntegrationRule *ir=NULL)
 
- Protected Member Functions inherited from mfem::Integrator
const IntegrationRuleGetIntegrationRule (const FiniteElement &trial_fe, const FiniteElement &test_fe, const ElementTransformation &trans) const
 Returns an integration rule based on the arguments and internal state of the Integrator object.
 
const IntegrationRuleGetIntegrationRule (const FiniteElement &el, const ElementTransformation &trans) const
 Returns an integration rule based on the arguments and internal state. (Version for identical trial_fe and test_fe)
 
virtual const IntegrationRuleGetDefaultIntegrationRule (const FiniteElement &trial_fe, const FiniteElement &test_fe, const ElementTransformation &trans) const
 Subclasses should override to choose a default integration rule.
 

Detailed Description

template<class CQVectAutoDiff>
class mfem::pLaplaceAD< CQVectAutoDiff >

Implements integrator for a p-Laplacian problem. The integrator is based on a class QFunction utilized for evaluating the energy, the first derivative (residual) and the Hessian of the energy (the Jacobian of the residual). The template parameter CQVectAutoDiff represents the automatically differentiated energy or residual implemented by the user. CQVectAutoDiff::VectorFunc(Vector parameters, Vector state,Vector residual) evaluates the residual at an integration point. CQVectAutoDiff::Jacobian(Vector parameters, Vector state, Matrix hessian) evaluates the Hessian of the energy(the Jacobian of the residual).

Definition at line 104 of file example.hpp.

Constructor & Destructor Documentation

◆ pLaplaceAD() [1/3]

template<class CQVectAutoDiff >
mfem::pLaplaceAD< CQVectAutoDiff >::pLaplaceAD ( )
inline

Definition at line 114 of file example.hpp.

◆ pLaplaceAD() [2/3]

template<class CQVectAutoDiff >
mfem::pLaplaceAD< CQVectAutoDiff >::pLaplaceAD ( Coefficient & pp_)
inline

Definition at line 126 of file example.hpp.

◆ pLaplaceAD() [3/3]

template<class CQVectAutoDiff >
mfem::pLaplaceAD< CQVectAutoDiff >::pLaplaceAD ( Coefficient & pp_,
Coefficient & q,
Coefficient & ld_ )
inline

Definition at line 135 of file example.hpp.

◆ ~pLaplaceAD()

template<class CQVectAutoDiff >
virtual mfem::pLaplaceAD< CQVectAutoDiff >::~pLaplaceAD ( )
inlinevirtual

Definition at line 144 of file example.hpp.

Member Function Documentation

◆ AssembleElementGrad()

template<class CQVectAutoDiff >
void mfem::pLaplaceAD< CQVectAutoDiff >::AssembleElementGrad ( const FiniteElement & el,
ElementTransformation & Tr,
const Vector & elfun,
DenseMatrix & elmat )
inlineoverridevirtual

Assemble the local gradient matrix.

Reimplemented from mfem::NonlinearFormIntegrator.

Definition at line 290 of file example.hpp.

◆ AssembleElementVector()

template<class CQVectAutoDiff >
void mfem::pLaplaceAD< CQVectAutoDiff >::AssembleElementVector ( const FiniteElement & el,
ElementTransformation & Tr,
const Vector & elfun,
Vector & elvect )
inlineoverridevirtual

Perform the local action of the NonlinearFormIntegrator.

Reimplemented from mfem::NonlinearFormIntegrator.

Definition at line 220 of file example.hpp.

◆ GetElementEnergy()

template<class CQVectAutoDiff >
real_t mfem::pLaplaceAD< CQVectAutoDiff >::GetElementEnergy ( const FiniteElement & el,
ElementTransformation & Tr,
const Vector & elfun )
inlineoverridevirtual

Compute the local energy.

Reimplemented from mfem::NonlinearFormIntegrator.

Definition at line 146 of file example.hpp.

Member Data Documentation

◆ coeff

template<class CQVectAutoDiff >
Coefficient* mfem::pLaplaceAD< CQVectAutoDiff >::coeff
protected

Definition at line 108 of file example.hpp.

◆ load

template<class CQVectAutoDiff >
Coefficient* mfem::pLaplaceAD< CQVectAutoDiff >::load
protected

Definition at line 109 of file example.hpp.

◆ pp

template<class CQVectAutoDiff >
Coefficient* mfem::pLaplaceAD< CQVectAutoDiff >::pp
protected

Definition at line 107 of file example.hpp.

◆ rdf

template<class CQVectAutoDiff >
CQVectAutoDiff mfem::pLaplaceAD< CQVectAutoDiff >::rdf
protected

Definition at line 111 of file example.hpp.


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