A fully discrete scheme for a class of multidimensional degenerate parabolic equations is proposed. The discretization is given by C**0 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.
Optimal error estimates for an approximation of degenerate parabolic problems / C. Verdi. - In: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. - ISSN 0163-0563. - 9:5-6(1987), pp. 657-670. [10.1080/01630568708816253]
Optimal error estimates for an approximation of degenerate parabolic problems
C. VerdiPrimo
1987
Abstract
A fully discrete scheme for a class of multidimensional degenerate parabolic equations is proposed. The discretization is given by C**0 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.
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