A model-based block-triangular preconditioner for the Bidomain system in electrocardiology
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
SIAM Journal on Numerical Analysis
SIAM Journal on Scientific Computing
The Optimized Schwarz Method with a Coarse Grid Correction
SIAM Journal on Scientific Computing
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We study a nonoverlapping domain decomposition method for the harmonic Maxwell equations with a new kind of interface condition. Using Fourier analysis we derive suitable families of transmission conditions in R3 that involve second order tangential differential operators and that guarantee convergence for both propagative and evanescent modes. Such families depend upon parameters that are chosen to optimize the convergence rate of the corresponding iterative algorithm. We then propose iterative solvers for the Maxwell equations based on a domain decomposition procedure where such conditions are enforced on the interface. Some numerical results for a two-domain decomposition show the effectiveness of the optimized interface conditions.