Finite element methods for parabolic equations

Author:
Miloš Zlámal

Journal:
Math. Comp. **28** (1974), 393-404

MSC:
Primary 65N35

MathSciNet review:
0388813

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Abstract: The initial-boundary value problem for a linear parabolic equation with the Dirichlet boundary condition is solved approximately by applying the finite element discretization in the space dimension and three types of finite-difference discretizations in time: the backward, the Crank-Nicolson and the Calahan discretization. New error bounds are derived.

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DOI:
https://doi.org/10.1090/S0025-5718-1974-0388813-9

Article copyright:
© Copyright 1974
American Mathematical Society