Resumen
After it is shown that the classical five-point mesh-centered finite difference scheme can be derived from a low-order nodal finite element scheme by using nonstandard quadrature formulae, higher-order block mesh-centered finite difference schemes for second-order elliptic problems are derived from higher-order nodal finite elements with nonstandard quadrature formulae as before, combined to a procedure known as "transverse integration." Numerical experiments with uniform and nonuniform meshes and different types of boundary conditions confirm the theoretical predictions, in discrete as well as continuous norms.
Idioma original | Inglés |
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Páginas (desde-hasta) | 439-465 |
Número de páginas | 27 |
Publicación | Numerical Methods for Partial Differential Equations |
Volumen | 14 |
N.º | 4 |
DOI | |
Estado | Publicada - jul. 1998 |