The Approximation of the Exact Boundary Conditions at an Artificial Boundary for Linear Elastic Equations and its Application

Houde Han, Xiaonan Wu
1992 Mathematics of Computation  
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.
doi:10.2307/2152978 fatcat:mwphn2viuzd5rjuhqbferjel3i