The approximation of the exact boundary conditions at an artificial boundary for linear elastic equations and its applications

Authors:
Hou De Han and Xiao Nan Wu

Journal:
Math. Comp. **59** (1992), 21-37

MSC:
Primary 35J25; Secondary 35A35, 65N30, 73C02, 73V05

DOI:
https://doi.org/10.1090/S0025-5718-1992-1134732-0

MathSciNet review:
1134732

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Abstract: The exterior boundary value problems of linear elastic equations are considered. A sequence of approximations to the exact boundary conditions at an artificial boundary is given. Then the original problem is reduced to a boundary value problem on a bounded domain. Furthermore, a finite element approximation of this problem and optimal error estimates are obtained. Finally, a numerical example shows the effectiveness of this method.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1992-1134732-0

Keywords:
Unbounded domains,
artificial boundaries,
approximate boundary conditions at an artificial boundary

Article copyright:
© Copyright 1992
American Mathematical Society