Coupling of finite and boundary element methods for an elastoplastic interface problem
SIAM Journal on Numerical Analysis
FEM and BEM Coupling for a Nonlinear Transmission Problem with Signorini Contact
SIAM Journal on Numerical Analysis
Coupling of Mixed Finite Elements and Boundary Elements for A Hyperelastic Interface Problem
SIAM Journal on Numerical Analysis
Analysis of a FEM/BEM coupling method for transonic flow computations
Mathematics of Computation
A justification of eddy currents model for the Maxwell equations
SIAM Journal on Applied Mathematics
Symmetric Coupling for Eddy Current Problems
SIAM Journal on Numerical Analysis
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In this paper we propose a method for solving the electro-magnetostatics problem and the eddy current problem in terms of suitable potentials. A new variational formulation is devised, in which standard results of potential theory are used to reduce the problem in the external domain to an integral equation on the boundary of a computational domain containing the conductor. The existence and uniqueness of the solution is proved, by showing that the associated sesquilinear form is coercive. A numerical approximation scheme, based on nodal finite elements in the computational domain and boundary elements on its boundary, is devised and proved to be convergent. It is also shown that the solution of the time-harmonic eddy current problem tends to the solution of the electro-magnetostatics problem as the frequency tends to 0. The same convergence holds, uniformly with respect to the mesh size, for the finite element solutions.