On Efficient Solution of Linear Systems Arising in hp-FEM

T. Vejchodský ()
Additional contact information
T. Vejchodský: Czech Academy of Sciences, Institute of Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 199-206 from Springer

Abstract: Abstract This contribution studies the static condensation of internal degrees of freedom which allows for efficient solution of linear algebraic systems arising in higher-order finite element methods. On each element, the static condensation eliminates the degrees of freedom corresponding to the internal (or bubble) basis functions. The elimination is local in elements and can be done in parallel. The resulting Schur complement system is considerably smaller and, moreover, it has less nonzero elements and better condition number in comparison with the original system. This paper focuses on the numerical performace of the static condensation and shows its CPU time efficiency.

Keywords: Polynomial Degree; Discretization Error; Static Condensation; Linear Algebraic System; Bubble Function (search for similar items in EconPapers)
Date: 2008
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_23

Ordering information: This item can be ordered from
http://www.springer.com/9783540697770

DOI: 10.1007/978-3-540-69777-0_23

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().