Discretization Methods and Iterative Solvers Based on Domain Decomposition

Wohlmuth Barbara I.

ISBN 10: 354041083X / ISBN 13: 9783540410836

Published by Springer, 2001

About this Item

PRINT ON DEMAND pp. 216. Seller Inventory # 183106212

Bibliographic Details

Title: Discretization Methods and Iterative Solvers...

Publisher: Springer

Publication Date: 2001

Binding: Soft cover

Condition: New

About this title

Synopsis:

Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques. New results on non-standard situations as mortar methods based on dual basis functions and vector field discretizations are analyzed and illustrated by numerical results. The role of trace theorems, harmonic extensions, dual norms and weak interface conditions is emphasized. Although the original idea was used successfully more than a hundred years ago, these methods are relatively new for the numerical approximation. The possibilites of high performance computations and the interest in large- scale problems have led to an increased research activity.