On modifications of continuous and discrete maximum principles for reaction-diffusion problems

I. Faragó, Sergey Korotov, Tamás Szabó

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this work, we present and discuss some modifications, in the form of two-sided estimation (and also for arbitrary source functions instead of usual sign-conditions), of continuous and discrete maximum principles for the reactiondiffusion problems solved by the finite element and finite difference methods.

Original languageEnglish
Pages (from-to)109-120
Number of pages12
JournalAdvances in Applied Mathematics and Mechanics
Volume3
Issue number1
DOIs
Publication statusPublished - 2011

Fingerprint

Discrete Maximum Principle
Reaction-diffusion Problems
Maximum principle
Finite difference method
Difference Method
Finite Difference
Finite Element
Arbitrary
Form

Keywords

  • Code validification
  • Discrete maximum principle
  • Maximum principle
  • Monotone matrix
  • Reaction-diffusion problem
  • Two-sided a priori estimation

ASJC Scopus subject areas

  • Applied Mathematics
  • Mechanical Engineering

Cite this

On modifications of continuous and discrete maximum principles for reaction-diffusion problems. / Faragó, I.; Korotov, Sergey; Szabó, Tamás.

In: Advances in Applied Mathematics and Mechanics, Vol. 3, No. 1, 2011, p. 109-120.

Research output: Contribution to journalArticle

@article{7a4ad0d627374ca5b1f6974f7d86e37e,
title = "On modifications of continuous and discrete maximum principles for reaction-diffusion problems",
abstract = "In this work, we present and discuss some modifications, in the form of two-sided estimation (and also for arbitrary source functions instead of usual sign-conditions), of continuous and discrete maximum principles for the reactiondiffusion problems solved by the finite element and finite difference methods.",
keywords = "Code validification, Discrete maximum principle, Maximum principle, Monotone matrix, Reaction-diffusion problem, Two-sided a priori estimation",
author = "I. Farag{\'o} and Sergey Korotov and Tam{\'a}s Szab{\'o}",
year = "2011",
doi = "10.4208/aamm.10-m1027",
language = "English",
volume = "3",
pages = "109--120",
journal = "Advances in Applied Mathematics and Mechanics",
issn = "2070-0733",
publisher = "Global Science Press",
number = "1",

}

TY - JOUR

T1 - On modifications of continuous and discrete maximum principles for reaction-diffusion problems

AU - Faragó, I.

AU - Korotov, Sergey

AU - Szabó, Tamás

PY - 2011

Y1 - 2011

N2 - In this work, we present and discuss some modifications, in the form of two-sided estimation (and also for arbitrary source functions instead of usual sign-conditions), of continuous and discrete maximum principles for the reactiondiffusion problems solved by the finite element and finite difference methods.

AB - In this work, we present and discuss some modifications, in the form of two-sided estimation (and also for arbitrary source functions instead of usual sign-conditions), of continuous and discrete maximum principles for the reactiondiffusion problems solved by the finite element and finite difference methods.

KW - Code validification

KW - Discrete maximum principle

KW - Maximum principle

KW - Monotone matrix

KW - Reaction-diffusion problem

KW - Two-sided a priori estimation

UR - http://www.scopus.com/inward/record.url?scp=83055170192&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=83055170192&partnerID=8YFLogxK

U2 - 10.4208/aamm.10-m1027

DO - 10.4208/aamm.10-m1027

M3 - Article

AN - SCOPUS:83055170192

VL - 3

SP - 109

EP - 120

JO - Advances in Applied Mathematics and Mechanics

JF - Advances in Applied Mathematics and Mechanics

SN - 2070-0733

IS - 1

ER -