On continuous and discrete maximum principles for elliptic problems with the third boundary condition

I. Faragó, Sergey Korotov, Tamás Szabó

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this work, we present and discuss some continuous and discrete maximum principles for linear elliptic problems of the second order with the third boundary condition (almost never addressed to in the available literature in this context) solved by finite element and finite difference methods. Numerical tests are given.

Original languageEnglish
Pages (from-to)7215-7224
Number of pages10
JournalApplied Mathematics and Computation
Volume219
Issue number13
DOIs
Publication statusPublished - 2013

Fingerprint

Discrete Maximum Principle
Maximum principle
Finite difference method
Elliptic Problems
Difference Method
Finite Difference
Boundary conditions
Finite Element
Context

Keywords

  • Discrete maximum principle
  • Elliptic problem
  • Maximum principle
  • The third boundary condition

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

Cite this

On continuous and discrete maximum principles for elliptic problems with the third boundary condition. / Faragó, I.; Korotov, Sergey; Szabó, Tamás.

In: Applied Mathematics and Computation, Vol. 219, No. 13, 2013, p. 7215-7224.

Research output: Contribution to journalArticle

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