Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1140469 | Mathematics and Computers in Simulation | 2007 | 6 Pages |
Abstract
Most results related to discrete nonnegativity conservation principles (DNCP) for elliptic problems are limited to finite differences and lowest-order finite element methods (FEM). In this paper we show that a straightforward extension to higher-order finite element methods (hp-FEM) in the classical sense is not possible. We formulate a weaker DNCP for the Poisson equation in one spatial dimension and prove it using an interval computing technique. Numerical experiments related to the extension of this result to 2D are presented.
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Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Pavel Å olÃn, TomáÅ¡ Vejchodský, Roberto Araiza,