A Comparison of Algebraic Multigrid and Geometric Immersed Interface Multigrid Methods for Interface Problems

DOI10.1137/S1064827503425262zbMath1118.65389MaRDI QIDQ4652352

Loyce M. Adams, Timothy P. Chartier

Publication date: 25 February 2005

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

numerical examplesdiscontinuous coefficientsalgebraic multigridM-matricesgeometric multigridimmersed interface problemsmaximum principle preserving schemes

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) PDEs with low regular coefficients and/or low regular data (35R05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (11)

Solving elliptic interface problems with jump conditions on Cartesian grids ⋮ A multigrid ghost-point level-set method for incompressible Navier-Stokes equations on moving domains with curved boundaries ⋮ Efficient calculation of fully resolved electrostatics around large biomolecules ⋮ Solving elliptic problems with discontinuities on irregular domains -- the Voronoi interface method ⋮ Second order finite-difference ghost-point multigrid methods for elliptic problems with discontinuous coefficients on an arbitrary interface ⋮ A coupling interface method for elliptic interface problems ⋮ A large jump asymptotic framework for solving elliptic and parabolic equations with interfaces and strong coefficient discontinuities ⋮ A ghost-point smoothing strategy for geometric multigrid on curved boundaries ⋮ A second order virtual node method for elliptic problems with interfaces and irregular domains in three dimensions ⋮ Piecewise-polynomial discretization and Krylov-accelerated multigrid for elliptic interface problems ⋮ A second order virtual node method for elliptic problems with interfaces and irregular domains

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