Detailed Description

Visitor for Neumann boundary condition for the biharmonic equation.

Visitor for boundary condition term of the form:

Let g be the function given BVP formulation, typically

\[ g = \Delta u. \]

Then this visitor adds the following term on the right-hand side:

\[ (g, \nabla v \cdot \mathbf{n})_\Gamma, \]

where v is the test function and \( \Gamma \) is the boundary.

Collaboration diagram for gsVisitorNeumannBiharmonic< T >:

Public Member Functions
void	assemble (gsDomainIterator< T > &, gsVector< T > const &quWeights)
	Assemble on element.

void	evaluate (const gsBasis< T > &basis, const gsGeometry< T > &geo, gsMatrix< T > &quNodes)
	Evaluate on element.

	gsVisitorNeumannBiharmonic (const gsPde< T > &pde, const boundary_condition< T > &bc)
	Constructor. More...

	gsVisitorNeumannBiharmonic (const gsFunction< T > &neudata, boxSide s)
	Constructor. More...

void	initialize (const gsBasis< T > &basis, gsQuadRule< T > &rule)
	Initialize.

void	initialize (const gsBasis< T > &basis, const index_t, const gsOptionList &options, gsQuadRule< T > &rule)
	Initialize.

void	localToGlobal (const index_t patchIndex, const std::vector< gsMatrix< T > > &, gsSparseSystem< T > &system)
	Adds the contributions to the sparse system.

Constructor & Destructor Documentation

gsVisitorNeumannBiharmonic	(	const gsPde< T > &	pde,
		const boundary_condition< T > &	bc
	)

inline

Constructor.

Parameters

pde	Reference to gsPde object (is ignored)
bc	The boundary condition to be realized

gsVisitorNeumannBiharmonic	(	const gsFunction< T > &	neudata,
		boxSide	s
	)

inline

Constructor.

Parameters

neudata	Neumann boundary function
s	Side of the geometry where neumann BC is prescribed