Multigrid Methods

Inhaltsverzeichnis

• 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.