H2Lib
3.0
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Representation of a trial space with piecewise linear nodal basis functions on a three-dimensional tetrahedral mesh. More...
#include <tet3dp1.h>
Data Fields | |
pctet3d | gr |
Tetrahedral mesh, represented by tet3d 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 or fixed. | |
uint * | idx2dof |
Consecutive indices for all degrees of freedom and all fixed vertices. | |
Representation of a trial space with piecewise linear nodal basis functions on a three-dimensional tetrahedral mesh.
Since the mesh itself is represented by a tet3d 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.