Nodal mesh-centered finite difference schemes
- National Autonomous Univ. of Mexico (Mexico)
- National Polytechnic Institute (Mexico)
The classical five points mesh-centered finite difference scheme can be derived from a low-order nodal finite element scheme by using nonstandard quadrature formulas. In this paper, we show that higher order five blocks mesh-centered finite difference schemes can be derived from higher order nodal finite elements by an extension of the techniques used in the simpler case, combined with another well-known ingredient, namely, transverse integration. The resulting systems of algebraic equations keep the nice structure of finite difference systems; moreover, a very simple postprocessing operation allows construction of a fully piecewise continuous approximation defined at each point of a given cell. Numerical experiments with nonuniform meshes and different types of boundary conditions confirm the theoretical predictions, in discrete as well as continuous norms.
- OSTI ID:
- 411639
- Report Number(s):
- CONF-951006-; ISSN 0003-018X; TRN: 97:000888
- Journal Information:
- Transactions of the American Nuclear Society, Vol. 73; Conference: Winter meeting of the American Nuclear Society (ANS), San Francisco, CA (United States), 29 Oct - 1 Nov 1995; Other Information: PBD: 1995
- Country of Publication:
- United States
- Language:
- English
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