Multilevel preconditioning on the refined interface and optimal boundary solvers for the Laplace equation
Some strategies to construct asymptotically optimal algorithms for solving boundary reductions of the Laplace equation in the interior and exterior of a polygon are studied. Construction of efficient matrix compression and preconditioning techniques for the harmonic Poincaré-Steklov interface operator of order 1 and its inverse is the main concern of the paper. This leads to asymptotically optimal algorithms for solving boundary reductions of the Laplace equation in the interior or exterior of a polygon.
harmonic Poincaré-Steklov interface operator
scientific article; zbMATH DE number 842128
scientific article