Multigrid Methods for Finite Elements

Multigrid Methods for Finite Elements combines two rapidly developing fields: finite element methods, and multigrid algorithms. At the theoretical level, Shaidurov justifies the rate of convergence of various multigrid algorithms for self-adjoint and non-self-adjoint problems, positive definite and indefinite problems, and singular and spectral problems. At the practical level these statements are carried over to detailed, concrete problems, including economical constructions of triangulations and effective work with curvilinear boundaries, quasilinear equations and systems. Great attention is given to mixed formulations of finite element methods, which allow the simplification of the approximation of the biharmonic equation, the steady-state Stokes, and Navier--Stokes problems.

שנה

1995

שפה

English

סדרה

Mathematics and Its Applications -- 318

הוצאה

Springer Netherlands

מהדורות

1

עמודים

334

ISBN

9789048145065

מקור הנתונים: Wikidata