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.
|Number of pages||26|
|Journal||Numerical Functional Analysis and Optimization|
|Publication status||Published - 1998|
- primal mixed finite elements
- boundary element methods
- inf-sup conditions
- transmission problems