Premium
Multi‐grid solver for the p ‐version of the fem.
Author(s) -
Beuchler Sven
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310534
Subject(s) - finite element method , solver , bounded function , constant (computer programming) , stiffness matrix , grid , matrix (chemical analysis) , polynomial , mathematics , element (criminal law) , condition number , stiffness , mathematical analysis , computer science , structural engineering , geometry , mathematical optimization , physics , engineering , materials science , eigenvalues and eigenvectors , composite material , quantum mechanics , law , political science , programming language
In this paper we propose a pre‐conditioner for an element stiffness matrix of the p‐version of the fem in two dimensions. We prove that the condition number of the preconditioned system matrix is bounded by a constant independent of the polynomial degree. The origin of this pre‐conditioner is the multi‐grid method.