UN CO RR EC TE D PR O O F 1 Heterogeneous Domain Decomposition Methods 2 for Eddy Current Problems 3
نویسنده
چکیده
The usual setting of an eddy current problem distinguishes between a conduct7 ing region and an air region (non-conducting) surrounding the conductor. For the numerical 8 approximation of this heterogeneous problem it is very natural to use iterative substructur9 ing methods based on transmission conditions at the interface. We analyze the convergence 10 of the Dirichlet-Neumann iterative method for two different formulations of the eddy current 11 problem: the one that consider as main unknown the electric field and the one based on the 12 magnetic field. 13
منابع مشابه
UN CO RR EC TE D PR O O F 1 Penalty Robin - Robin Domain Decomposition Schemes 2 for Contact Problems of Nonlinear Elastic Bodies 3
متن کامل
UN CO RR EC TE D PR O O F 1 Domain Decomposition Methods for Auxiliary Linear 2 Problems of an Elliptic Variational Inequality 3
Elliptic variational inequalities with multiple bodies are considered. It is assumed 7 that an active set method is used to handle the nonlinearity of the inequality constraint, which 8 results in auxiliary linear problems. We describe two domain decomposition methods for solv9 ing such linear problems, namely, the FETI-FETI (finite element tearing and interconnecting) 10 and hybrid methods, wh...
متن کاملUN CO RR EC TE D PR O O F 1 Stable BETI Methods in Electromagnetics
In this paper we present a stable boundary element tearing and interconnecting 6 domain decomposition method for the parallel solution of the electromagnetic wave equation 7 with piecewise constant wave numbers. In particular we consider stable boundary integral 8 formulations and generalized Robin type transmission conditions to ensure unique solvability 9 of the local subproblems. Numerical r...
متن کاملUN CO RR EC TE D PR O O F 1 Mesh Regularization in Bank - Holst Parallel 2 hp - Adaptive Meshing 3 Randolph
متن کامل
UN CO RR EC TE D PR O O F 1 Mortar Coupling for Heterogeneous Partial 2 Differential Equations 3
Quitandinha, 25651-075 Petrópolis, RJ, Brazil. [email protected] 6 2 Department of Mathematics, University of Brescia, via Valotti, 9. 25133 Brescia, Italy. 7 [email protected] 8 3 MOX, Department of Mathematics “F. Brioschi”, Politecnico di Milano, via Bonardi, 9. 9 20133 Milano, Italy and SB-MATHICSE-CMCS École Polytechnique Fédérale de 10 Lausanne CH-1015 Lausanne, Switzerland. alfio.quar...
متن کامل