Robust multigrid methods

Autor*innen

• Wolfgang Hackbusch

Parameter

• 252 Seiten
• 9 Lesestunden

• Lehrbücher
• Universitätslehrbücher

Mehr zum Buch

The content covers a range of advanced topics in numerical methods and multigrid techniques. It begins with a robust preconditioner based on algebraic substructuring and two-level grids, progressing to adaptive multigrid solutions for convection-diffusion equations on multiprocessors. The application of finite volume multigrid methods to two-dimensional incompressible Navier-Stokes equations is discussed, alongside concepts for dimension-independent multigrid algorithms in semiconductor device simulations. The text also addresses algebraic multigrid methods and the Schur complement, as well as a multigrid method for steady Euler equations utilizing flux-difference splitting. Further exploration includes the treatment of singular perturbation problems, frequency decomposition multi-grid algorithms, and global multigrid convergence for nonlinear problems. The efficiency of multigrid methods for compressible Navier-Stokes equations is analyzed, along with methods for symmetry boundary integral equations. The document highlights effective preconditioning for spectral multigrid methods and numerical solutions for transonic potential flow in 2D compressor cascades. It also examines local mode smoothing analysis of incomplete factorization iterative methods, multigrid and defect correction for steady Navier-Stokes equations, and the acceleration of 2D compressible Navier-Stokes finite volume implicit schemes. The systematic tests

• Sprache: Deutsch
• Erscheinungsdatum: 1989
• Einband: Paperback