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.

Optimal error estimates for an approximation of degenerate parabolic problems

C. Verdi
Primo
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.
Settore MAT/08 - Analisi Numerica
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/176453
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