Optimized Schwarz preconditioning for SEM based magnetohydrodynamics
St-Cyr, A., Rosenberg, D., & Kim, S. D. (2009). Optimized Schwarz preconditioning for SEM based magnetohydrodynamics. In Domain Decomposition Methods in Science and Engineering XVIII (pp. 209-216). Berlin: Springer. doi:10.1007/978-3-642-02677-5_22
A recent theoretical result on optimized Schwarz algorithms demonstrated at the algebraic level enables the modification of an existing Schwarz procedure to its optimized counterpart. In this work, it is shown how to modify a bilinear FEM based Schwarz preconditioning strategy originally presente... Show moreA recent theoretical result on optimized Schwarz algorithms demonstrated at the algebraic level enables the modification of an existing Schwarz procedure to its optimized counterpart. In this work, it is shown how to modify a bilinear FEM based Schwarz preconditioning strategy originally presented in [Fis97] to its optimized version. The latter is employed to precondition the pseudo–Laplacian operator arising from the spectral element discretization of the magnetohydrodynamic equations in Elässer form. Show less
