Lecture Notes in Mathematics

Proceedings of the Conference Held at K¶ln-Porz, November 23-27, 1981

By: W. Hackbusch (Editor), U. Trottenberg (Editor)

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Paperback | 1 January 1986 | Edition Number 2

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640 Pages

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Multigrid methods: Fundamental algorithms, model problem analysis and applications.- Multi-grid convergence theory.- Guide to multigrid development.- The multi grid method and artificial viscosity.- Defect corrections and multigrid iterations.- On multigrid methods of the two-level type.- The convergence rate of a multigrid method with Gauss-Seidel relaxation for the poisson equation.- A multigrid finite element method for the transonic potential equation.- Sparse matrix software for elliptic PDE's.- Multigrid software for the solution of elliptic problems on rectangular domains: MGOO (release 1).- On multi-grid iterations with defect correction.- Adaptive-grid methods for time-dependent partial differential equations.- Mixed defect correction iteration for the accurate solution of the convection diffusion equation.- Analysis and comparison of relaxation schemes in robust multigrid and preconditioned conjugate gradient methods.- The contraction number of a class of two-level methods; an exact evaluation for some finite element subspaces and model problems.- Application of the multigrid method to a nonlinear indefinite problem.- Multi-grid methods for simple bifurcation problems.- Use of the multigrid method for laplacian problems in three dimensions.- Applications of multi-grid methods for transonic flow calculations.- A robust and efficient multigrid method.

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