Primal mixed formulations for the coupling of FEM and BEM. Part I: linear problems
作者:
Gabriel R. Barrenechea,
Gabriel N. Gatica,
Jean-Marie Thomas,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1998)
卷期:
Volume 19,
issue 1-2
页码: 7-32
ISSN:0163-0563
年代: 1998
DOI:10.1080/01630569808816812
出版商: Marcel Dekker,Inc.
关键词: Primal mixed finite elements;boundary element methods;inf-sup conditions;transmission problems
数据来源: Taylor
摘要:
We apply the boundary integral equation method and a primal mixed finite element approach to study the weak solvability and Galerkin approximations of linear interior transmission problems arising in potential theory and elastostatics. The existence and uniqueness of solution of the resulting weak formulations and of the associated discrete schemes are derived by using the classical theory for variational problems with constraints. Suitable finite element subspaces of Lagrange type satisfying the compatibility conditions are utilized for defining the Galerkin scheme. The error analysis and corresponding rates of convergence are also provided.
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