A combination of spectral and finite elements for an exterior problem in the plane
Applied Numerical Mathematics
A new BEM-FEM coupling strategy for two-dimensional fluid-solid interaction problems
Journal of Computational Physics
On the numerical solution of Plateau's problem
Applied Numerical Mathematics
Coupling at a Distance HDG and BEM
SIAM Journal on Scientific Computing
Hi-index | 0.01 |
We reformulate the discretization of the Johnson--Nedelec method [11] of coupling boundary elements and finite elements for an exterior bidimensional Laplacian. This new formulation leads to optimal error estimates and allows the use of simple quadrature formulas for calculation of the boundary element matrix. We show that if the parameter of discretization is sufficiently small, the fully discrete scheme is well posed and the error estimates remain unaltered. The rest of the paper is devoted to the study of an efficient algorithm for solving the resulting discrete linear systems.