DUNE-FEM (unstable)
H-div Projection for discontinuous discrete functions. The projection is described in detail in: More...
#include <dune/fem/operator/projection/hdivprojection.hh>
Public Types | |
typedef DiscreteFunctionType | DestinationType |
type of argument and destination | |
typedef DiscreteFunctionSpaceType | SpaceType |
convenience typedef for space type | |
Public Member Functions | |
HdivProjection (const DiscreteFunctionSpaceType &space) | |
constructor taking space | |
const DiscreteFunctionSpaceType & | space () const |
return reference to space | |
void | setTime (double) |
set time for operators More... | |
double | timeStepEstimate () const |
estimate maximum time step More... | |
virtual void | operator() (const DiscreteFunctionType &arg, DiscreteFunctionType &dest) const |
application operator projection arg to H-div space | |
virtual int | size () const |
return size of discrete function space, i.e. number of unknowns | |
virtual void | initializeTimeStepSize (const DestinationType &U0) const |
call operator once to calculate initial time step size More... | |
virtual bool | hasLimiter () const |
return true if limit method is implemented More... | |
virtual void | limit (const DestinationType &arg, DestinationType &dest) const |
limiter application operator More... | |
virtual void | applyLimiter (DestinationType &U) const |
limiter application operator More... | |
virtual const DestinationType * | destination () const |
return reference to pass's local memory | |
virtual void | jacobian (const DomainFunctionType &u, JacobianOperatorType &jOp) const=0 |
obtain linearization More... | |
virtual void | operator() (const DomainFunctionType &u, RangeFunctionType &w) const=0 |
application operator More... | |
virtual void | finalize () |
finalization of operator More... | |
virtual bool | nonlinear () const |
Static Public Member Functions | |
static double | normalJump (const DiscreteFunctionType &discFunc, const int polyOrder=-1) |
return sum of jumps of discrete function normal to intersection | |
Detailed Description
class Dune::Fem::HdivProjection< DiscreteFunctionType >
H-div Projection for discontinuous discrete functions. The projection is described in detail in:
P. Bastian and B. Riviere. Superconvergence and H(div)-projection for discontinuous Galerkin methods. Int. J. Numer. Meth. Fluids., 42:1043-1057, 2003.
(see homepage of Peter Bastian: http://hal.iwr.uni-heidelberg.de/~peter/Papers/BDMpaper.pdf )
Note:
This projection only works for polynomial order 1 and the following spaces:
- SimplexGrids + DiscontinuousGalerkinSpace
- CubeGrids + LegendreDiscontinuousGalerkinSpace
Member Function Documentation
◆ applyLimiter()
|
inlinevirtualinherited |
limiter application operator
- Parameters
-
[in,out] U argument and destination to apply Limiter(u), needs internal copying
- Note
- : Default implementation is to do nothing (hasLimiter == false)
◆ finalize()
|
inlinevirtualinherited |
finalization of operator
- Note
- The default implementation is empty.
◆ hasLimiter()
|
inlinevirtualinherited |
return true if limit method is implemented
- Returns
- true if limit is implemented
◆ initializeTimeStepSize()
|
inlinevirtualinherited |
call operator once to calculate initial time step size
- Parameters
-
U0 initial data to compute initial time step size
◆ jacobian()
|
pure virtualinherited |
obtain linearization
- Parameters
-
[in] u argument discrete function [out] jOp destination Jacobian operator
- Note
- This method has to be implemented by all derived classes.
◆ limit()
|
inlinevirtualinherited |
limiter application operator
- Parameters
-
arg argument, u dest destination, Limiter(u)
- Note
- : Default implementation is to copy arg into dest.
◆ nonlinear()
|
inlinevirtualinherited |
Return true
if the Operator is nonlinear and false
otherwise (default is true).
◆ operator()()
|
pure virtualinherited |
application operator
- Parameters
-
[in] u argument discrete function [out] w destination discrete function
- Note
- This method has to be implemented by all derived classes.
Implemented in EllipticOperator< JacobianOperator::DomainFunctionType, JacobianOperator::RangeFunctionType, Model >.
◆ setTime()
|
inlinevirtual |
set time for operators
- Parameters
-
time current time of evaluation
Reimplemented from Dune::Fem::SpaceOperatorInterface< DiscreteFunctionType >.
◆ timeStepEstimate()
|
inlinevirtual |
estimate maximum time step
For an explicit time discretization, the time step has to be limited. An estimate for the maximum time step of an explicit Euler scheme is returned by this function. Maximum time steps for higher order Runge Kutta schemes can be derived from this value.
Reimplemented from Dune::Fem::SpaceOperatorInterface< DiscreteFunctionType >.
The documentation for this class was generated from the following file:
- dune/fem/operator/projection/hdivprojection.hh