This book presents a detailed description of a robust pseudomultigrid algorithm for solving
(initial-)boundary value problems on structured grids in a black-box manner. To overcome the
problem of robustness the presented Robust Multigrid Technique (RMT) is based on the
application of the essential multigrid principle in a single grid algorithm. It results in an
extremely simple very robust and highly parallel solver with close-to-optimal algorithmic
complexity and the least number of problem-dependent components. Topics covered include an
introduction to the mathematical principles of multigrid methods a detailed description of RMT
results of convergence analysis and complexity possible expansion on unstructured grids
numerical experiments and a brief description of multigrid software parallel RMT and
estimations of speed-up and efficiency of the parallel multigrid algorithms and finally
applications of RMT for the numerical solution of the incompressible Navier Stokes equations.
Potential readers are graduate students and researchers working in applied and numerical
mathematics as well as multigrid practitioners and software programmers. ContentsIntroduction
to multigridRobust multigrid techniqueParallel multigrid methodsApplications of multigrid
methods in computational fluid dynamics
