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Matrix-dependent prolongations and restrictions in a blackbox multigrid solver. (English) Zbl 0717.65099
If one applies standard multigrid methods to solve linear systems resulting from the 9-point discretization of a linear second-order elliptic partial differential equation with discontinuous coefficients or dominating first-order terms, the rate of convergence often deteriorates. To improve the convergence behaviour of the multigrid methods in these cases the author develops a special multigrid code, in which matrix- dependent prolongations and restrictions are used. By hard numerical examples it is shown that this code is more robust and more efficient (for these hard problems) than a standard multigrid code based on the usual prolongation and restriction obtained by linear interpolation.
Reviewer: M.Jung

65N55Multigrid methods; domain decomposition (BVP of PDE)
65N12Stability and convergence of numerical methods (BVP of PDE)
35J25Second order elliptic equations, boundary value problems
Full Text: DOI
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