A Simple Preconditioned Domain Decomposition Method for Electromagnetic Scattering Problems

A simple preconditioned domain decomposition method for electromagnetic scattering problems

We present a domain decomposition method (DDM) devoted to the iterative solution of time-harmonic electromagnetic scattering problems, involving large and resonant cavities. This DDM uses the electric field integral equation (EFIE) for the solution of Maxwell problems in both interior and exterior subdomains, and we propose a simple preconditioner for the global method, based on the single laye...

Fictitious Domain Method for Unsteady Problems: Application to Electromagnetic Scattering

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Domain Decomposition Method for Parabolic Problems

Domain decomposition methods are widely used to solve the parabolic partial differential equations with Dirichlet, Neumann, or mixed boundary conditions. Modified implicit prediction (MIP) algorithm is unconditionally stable domain decomposition method. In this paper, the SOR iterative technique is applied to the MIP algorithm and the optimum over-relaxation parameter is provided.

A Fictitious Domain Decomposition Method for High Frequency Acoustic Scattering Problems

It is well known that most PDE problems defined over an axisymmetric domain can be efficiently solved by a Fourier based solution method. However, for many applications, the underlying computational domain is not entirely axisymmetric, but has one or several major axisymmetric subdomains. For such problems, an axisymmetric analysis method is not applicable, and a straightforward one can be inef...

A DOMAIN DECOMPOSITION APPROACH FOR NON-CONFORMAL COUPLINGS BETWEEN FINITE AND BOUNDARY ELEMENTS FOR ELECTROMAGNETIC SCATTERING PROBLEMS in R3