Discrete maximum principles in finite element modelling

被引：0

作者：

Korotov, S ^{[1
]}

Krízek, M ^{[1
]}

机构：

[1] Univ Jyvaskyla, Dept Math Informat Technol, FIN-40014 Jyvaskyla, Finland

来源：

NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, PROCEEDINGS | 2004年

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonobtuse tetrahedral partitions and linear finite elements guarantee the validity of a discrete analogue of the maximum principle for a wide class of parabolic and elliptic problems in the three-dimensional space. In this paper we propose global and local refinement techniques which produce nonobtuse face-to-face tetrahedral partitions of a polyhedral domain.

引用

页码：580 / 586

页数：7

共 50 条

[1] On Weakening Conditions for Discrete Maximum Principles for Linear Finite Element Schemes
Hannukainen, Antti
Korotov, Sergey
Vejchodsky, Tomas
NUMERICAL ANALYSIS AND ITS APPLICATIONS: 4TH INTERNATIONAL CONFERENCE, NAA 2008, 2009, 5434 : 297 - +
[2] Some discrete maximum principles arising for nonlinear elliptic finite element problems
Karatson, J.
Korotov, S.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 70 (11) : 2732 - 2741
[3] Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary
Karatson, Janos
Kovacs, Balazs
Korotov, Sergey
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 40 (02) : 1241 - 1265
[4] Discrete maximum principles with computable mesh conditions for nonlinear elliptic finite element problems
Bahlibi, M. T.
Karatson, J.
Korotov, S.
APPLIED NUMERICAL MATHEMATICS, 2025, 210 : 222 - 244
[5] Discrete minimum and maximum principles for finite element approximations of non-monotone elliptic equations
Jüngel, A
Unterreiter, A
NUMERISCHE MATHEMATIK, 2005, 99 (03) : 485 - 508
[6] Discrete minimum and maximum principles for finite element approximations of non-monotone elliptic equations
Ansgar Jüngel
Andreas Unterreiter
Numerische Mathematik, 2005, 99 : 485 - 508
[7] Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions
Karátson, J
Korotov, S
NUMERISCHE MATHEMATIK, 2005, 99 (04) : 669 - 698
[8] Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions
J. Karátson
S. Korotov
Numerische Mathematik, 2005, 99 : 669 - 698
[9] On the existence of maximum principles in parabolic finite element equations
Thomee, Vidar
Wahlbin, Lars B.
MATHEMATICS OF COMPUTATION, 2008, 77 (261) : 11 - 19
[10] Discrete Maximum Principle for Finite Element Parabolic Operators
Mincsovics, Miklos E.
LARGE-SCALE SCIENTIFIC COMPUTING, 2010, 5910 : 604 - 612

← 1 2 3 4 5 →