MFEM
v4.2.0
Finite element discretization library

Transfer data between a coarse mesh and an embedded refined mesh using L2 projection. More...
#include <fespace.hpp>
Classes  
class  L2Projection 
class  L2Prolongation 
Public Member Functions  
L2ProjectionGridTransfer (FiniteElementSpace &coarse_fes, FiniteElementSpace &fine_fes)  
virtual const Operator &  ForwardOperator () 
Return an Operator that transfers GridFunctions from the domain FE space to GridFunctions in the range FE space. More...  
virtual const Operator &  BackwardOperator () 
Return an Operator that transfers GridFunctions from the range FE space back to GridFunctions in the domain FE space. More...  
Public Member Functions inherited from mfem::GridTransfer  
GridTransfer (FiniteElementSpace &dom_fes_, FiniteElementSpace &ran_fes_)  
virtual  ~GridTransfer () 
Virtual destructor. More...  
void  SetOperatorType (Operator::Type type) 
Set the desired Operator::Type for the construction of all operators defined by the underlying transfer algorithm. More...  
virtual const Operator &  TrueForwardOperator () 
Return an Operator that transfers truedof Vectors from the domain FE space to truedof Vectors in the range FE space. More...  
virtual const Operator &  TrueBackwardOperator () 
Return an Operator that transfers truedof Vectors from the range FE space back to truedof Vectors in the domain FE space. More...  
Protected Attributes  
L2Projection *  F 
Forward, coarsetofine, operator. More...  
L2Prolongation *  B 
Backward, finetocoarse, operator. More...  
Protected Attributes inherited from mfem::GridTransfer  
FiniteElementSpace &  dom_fes 
Domain FE space. More...  
FiniteElementSpace &  ran_fes 
Range FE space. More...  
Operator::Type  oper_type 
Desired Operator::Type for the construction of all operators defined by the underlying transfer algorithm. It can be ignored by derived classes. More...  
OperatorHandle  fw_t_oper 
Forward truedof operator. More...  
OperatorHandle  bw_t_oper 
Backward truedof operator. More...  
bool  parallel 
Additional Inherited Members  
Protected Member Functions inherited from mfem::GridTransfer  
bool  Parallel () const 
const Operator &  MakeTrueOperator (FiniteElementSpace &fes_in, FiniteElementSpace &fes_out, const Operator &oper, OperatorHandle &t_oper) 
Transfer data between a coarse mesh and an embedded refined mesh using L2 projection.
The forward, coarsetofine, transfer uses L2 projection. The backward, finetocoarse, transfer is defined locally (on a coarse element) as B = (F^t M_f F)^{1} F^t M_f, where F is the forward transfer matrix, and M_f is the mass matrix on the union of all fine elements comprising the coarse element. Note that the backward transfer operator, B, is a left inverse of the forward transfer operator, F, i.e. B F = I. Both F and B are defined in physical space and, generally, vary between different mesh elements.
This class currently only fully supports L2 finite element spaces and fine meshes that are a uniform refinement of the coarse mesh. Generally, the coarse and fine FE spaces can have different orders, however, in order for the backward operator to be welldefined, the number of the fine dofs (in a coarse element) should not be smaller than the number of coarse dofs.
If used on H1 finite element spaces, the transfer will be performed locally, and the value of shared (interface) degrees of freedom will be determined by the value of the last transfer to be performed (according to the element numbering in the finite element space). As a consequence, the mass conservation properties for this operator from the L2 case do not carry over to H1 spaces.
Definition at line 922 of file fespace.hpp.

inline 
Definition at line 972 of file fespace.hpp.

virtual 
Return an Operator that transfers GridFunctions from the range FE space back to GridFunctions in the domain FE space.
Implements mfem::GridTransfer.
Definition at line 2922 of file fespace.cpp.

virtual 
Return an Operator that transfers GridFunctions from the domain FE space to GridFunctions in the range FE space.
Implements mfem::GridTransfer.
Definition at line 2916 of file fespace.cpp.

protected 
Backward, finetocoarse, operator.
Definition at line 969 of file fespace.hpp.

protected 
Forward, coarsetofine, operator.
Definition at line 968 of file fespace.hpp.