Finite element multistep discretizations of parabolic boundary value problems

Author:
Miloš Zlámal

Journal:
Math. Comp. **29** (1975), 350-359

MSC:
Primary 65N30

DOI:
https://doi.org/10.1090/S0025-5718-1975-0371105-2

MathSciNet review:
0371105

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Abstract: The initial-boundary value problem for a linear parabolic equation in an infinite cylinder under the Dirichlet boundary condition is solved by applying the finite element discretization in the space dimension and -stable multistep discretizations in time. No restriction on the ratio of the time and space increments is imposed. The methods are analyzed and bounds for the discretization error in the -norm are given.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1975-0371105-2

Article copyright:
© Copyright 1975
American Mathematical Society