Uniform expansions for a class of finite difference schemes for elliptic boundary value problems
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- by Harry Munz PDF
- Math. Comp. 36 (1981), 155-170 Request permission
Abstract:
For a class of finite difference schemes for the Dirichlet problem on a bounded region $\Omega \subset {{\mathbf {R}}^n}$, the existence of uniform expansions of the approximate solution for meshlength $h \to 0$ is shown. The results also improve error bounds which Pereyra, Proskurowski, and Widlund obtained with respect to certain discrete ${L_2}$-norms.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Math. Comp. 36 (1981), 155-170
- MSC: Primary 65N05
- DOI: https://doi.org/10.1090/S0025-5718-1981-0595048-7
- MathSciNet review: 595048