The Method of Auxiliary Mapping for the Finite Element Solutions of Elasticity Problems Containing Singularities
MARYLAND UNIV COLLEGE PARK INST FOR PHYSICAL SCIENCE AND TECHNOLOGY
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Babuska and Oh have introduced a new approach called the Method of Auxiliary MappingMAM, to deal with elliptic boundary value problems with singularities. In this paper this method is extended so that it can handle the plane elasticity problems containing singularities. In order to show the effectiveness, this method is compared with the conventional approach in the framework of the p-version of the finite element method. Moreover, it is demonstrated that this method yields a reasonable solution for those elasticity problems containing strong singularities which even can not be solved by using the h-p version of the finite element method.
- Numerical Mathematics