MultigridElsevier, 20.11.2000 - 631 Seiten Multigrid presents both an elementary introduction to multigrid methods for solving partial differential equations and a contemporary survey of advanced multigrid techniques and real-life applications.Multigrid methods are invaluable to researchers in scientific disciplines including physics, chemistry, meteorology, fluid and continuum mechanics, geology, biology, and all engineering disciplines. They are also becoming increasingly important in economics and financial mathematics.Readers are presented with an invaluable summary covering 25 years of practical experience acquired by the multigrid research group at the Germany National Research Center for Information Technology. The book presents both practical and theoretical points of view.* Covers the whole field of multigrid methods from its elements up to the most advanced applications* Style is essentially elementary but mathematically rigorous* No other book is so comprehensive and written for both practitioners and students |
Inhalt
| 1 | |
| 28 | |
Chapter 3 Elementary Multigrid Theory | 75 |
Chapter 4 Local Fourier Analysis | 98 |
Chapter 5 Basic Multigrid II | 130 |
Chapter 6 Parallel Multigrid in Practice | 193 |
Chapter 7 More Advanced Multigrid | 227 |
Chapter 8 Multigrid for Systems of Equations | 289 |
Chapter 9 Adaptive Multigrid | 356 |
Chapter 10 Some More Multigrid Applications | 389 |
Appendixes | 413 |
| 590 | |
| 613 | |
Andere Ausgaben - Alle anzeigen
Multigrid Methods Ulrich Trottenberg,Cornelius W. Oosterlee,Anton Schuller Eingeschränkte Leseprobe - 2001 |
Multigrid Methods Ulrich Trottenberg,Cornelius W. Oosterlee,Anton Schuller Keine Leseprobe verfügbar - 2001 |
Häufige Begriffe und Wortgruppen
algorithm anisotropic applied approach approximation bilinear interpolation boundary conditions C-variables coarse grid correction coarser levels coarsest grid coefficients computational consider convection-diffusion corresponding decomposition defect correction defined denotes diagonal Dirichlet boundary conditions discretization error discussed domain efficient eigenvalues elliptic Euler Euler equations example Figure finite element finite volume five-point stencils Fourier analysis frequency Galerkin operator grid functions grid points GS-LEX GS-RB h-ellipticity iteration Jacobi Krylov subspace line relaxation linear matrix mesh Model Problem multigrid algorithm multigrid components multigrid cycle multigrid methods Navier-Stokes equations Neumann boundary conditions nonlinear obtain optimal parallel parameter PDEs Ploc Poisson equation preconditioner processors Remark restriction scalar schemes second-order Section semicoarsening smoothers smoothing factor smoothing properties solution solved solver splitting standard coarsening stencil subspace symmetric Table Theorem transfer operators two-grid typical unstructured grids V-cycle variables w-JAC