gsVisitorNitscheBiharmonic< T > Class Template Reference

Detailed Description

template<class T>
class gismo::gsVisitorNitscheBiharmonic< T >

Visitor for the weak imposition of the first-type dirichlet boundary condition.

The visitor adds this term to the bilinear term

\[ (\Delta u, \nabla v)_{\partial \Omega} + (\nabla u, \Delta v )_{\partial \Omega} + (\mu* \nabla u, \nabla v)_{\partial \Omega} \]

and the following term is also added to the linear term

\[ (g_1, \mu* \nabla v + \Delta v)_{\partial \Omega} \]

Collaboration diagram for gsVisitorNitscheBiharmonic< T >:

Public Member Functions
void	assemble (gsDomainIterator< T > &element, const gsVector< T > &quWeights)
	Assemble on element.
void	evaluate (const gsBasis< T > &basis, const gsGeometry< T > &geo, gsMatrix< T > &quNodes)
	Evaluate on element.
	gsVisitorNitscheBiharmonic (const gsFunction< T > &dirdata, T penalty, boxSide s)
	Constructor. More...
void	initialize (const gsBasis< T > &basis, gsQuadRule< T > &rule)
	Initialize.
void	localToGlobal (const gsDofMapper &mapper, const gsMatrix< T > &eliminatedDofs, const index_t patchIndex, gsSparseMatrix< T > &sysMatrix, gsMatrix< T > &rhsMatrix)
	Adds the contributions to the sparse system.

Constructor & Destructor Documentation

gsVisitorNitscheBiharmonic ( const gsFunction< T > &  dirdata, T  penalty, boxSide  s  )

inline

Constructor.

Parameters

dirdata	Dirichlet boundary function
_penalty	Penalty
s	Side of the geometry where Dirichlet BC is prescribed