_tri2dp1 Struct Reference

Representation of a trial space with piecewise linear nodal basis functions on a two-dimensional triangular mesh. More...

#include <tri2dp1.h>

Data Fields
pctri2d	t2
	Triangular Mesh, represented by tri2d object.
uint	ndof
	Number of degrees of freedom.
uint	nfix
	Number of fixed vertices.
bool *	is_dof
	Determines whether a vertex is a degree of freedom.
uint *	idx2dof
	Consecutive indices for all degrees of freedom and all fixed vertices.

Detailed Description

Representation of a trial space with piecewise linear nodal basis functions on a two-dimensional triangular mesh.

Since the mesh itself is represented by a tri2d object, we only have to keep track of which vertices are degrees of freedom and provide them with consecutive indices for the algebraic functions.

The remaining vertices are also provided with consecutive indices, allowing us to construct interaction matrices that describe how non-zero values in the fixed vertices influence the right-hand side of a variational equation. This mechanism is useful, e.g., for handling inhomogeneous Dirichlet boundary conditions.

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

• Library/tri2dp1.h