Stability Estimates for Hybrid Coupled Domain Decomposition Methods
Edition: 1 edition
Publisher: Springer
Published: March 10, 2003
Language: eng
Format: Paperback
Number of pages: 120
ISBN-13: 9783540002772
Subjects: Applied mathematics; Differential Equations; Science/Mathematics; Differential equations, Partial; Partial Differential Equations; Mathematics; Functional Analysis; Computer Science; General; Domain decomposition methods; Mathematics / Number Systems; coupling of finite and boundary element methods; stability analysis of mixed approximation schemes; Boundary Value Problems; Boundary element methods; Differential equations, Ellipt; Differential equations, Partia
First sentence: In this chapter we summarize some results which are needed frequently in the succeeding chapters.
Description: Domain decomposition methods are a well established tool for an efficient numerical solution of partial differential equations, in particular for the coupling of different model equations and of different discretization methods. Based on the approximate solution of local boundary value problems either by finite or boundary element methods, the global problem is reduced to an operator equation on the skeleton of the domain decomposition. Different variational formulations then lead to hybrid domain decomposition methods.
Notes: Lecture Notes in Mathematics