A Finite Element Method for Various Kinds of Initial Value Problems

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Report Number: AFFDL TR 71-160 p. 169-213
Author(s): Ando, Y., Kikuchi, F.
Corporate Author(s): University of Tokyo
Date of Publication: 1973-12
Pages: 44
DoD Task:
Identifier: This paper is part of a conference proceedings. See AD0785968

This paper presents some basic considerations to a most fundamental finite element scheme for initial value problems. The stability and the convergence of the approximate solution are obtained theoretically under some fundamental assumptions on the spatial operator, and it is shown that this scheme is applicable to wide and important classes of evolution equations. Numerical experiments are also performed to various kinds of evolution equations in order to demonstrate the validity of the present method.

Provenance: Bombardier/Aero

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