Finite element multistep discretizations of parabolic boundary value problems
Open Access
- 1 January 1975
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 29 (130) , 350-359
- https://doi.org/10.1090/s0025-5718-1975-0371105-2
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 A 0 {A_0} -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 L 2 {L_2} -norm are given.Keywords
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