Optimal error estimates for an approximation of degenerate parabolic problems
- 1 January 1987
- journal article
- research article
- Published by Taylor & Francis in Numerical Functional Analysis and Optimization
- Vol. 9 (5-6) , 657-670
- https://doi.org/10.1080/01630568708816253
Abstract
A fully discrete scheme for a class of multidimensional degenerate parabolic equations is proposed. The discretization is given by $supoesup piecewise linear finite elements in space and backward differences in time (the smoothing procedure is avoided). Numerical integration is used; hence the proposed method is easy to implement. Optimal error estimates in energy norms are proved for the solutions.This publication has 11 references indexed in Scilit:
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