Angle Conditions for Discrete Maximum Principles in Higher-Order FEM

Tomáš Vejchodský ()
Additional contact information
Tomáš Vejchodský: Academy of Sciences, Institute of Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 901-909 from Springer

Abstract: Abstract This contribution reviews the general theory of the discrete Green’s function and presents a numerical experiment indicating that the discrete maximum principle (DMP) fails to hold in the case of Poisson problem on any uniform triangulation of a triangular domain for orders of approximation three and higher. This extends the result [Computing 27, 145–154 (1981)] that the Laplace equation discretized by the higher-order FEM satisfies the DMP on a patch of triangular elements in exceptional cases only.

Date: 2010
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:978-3-642-11795-4_97

Ordering information: This item can be ordered from
http://www.springer.com/9783642117954

DOI: 10.1007/978-3-642-11795-4_97

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 ().