Jump to ContentJump to Main Navigation
Show Summary Details

Computational Methods in Applied Mathematics

Editor-in-Chief: Carstensen, Carsten

Managing Editor: Matus, Piotr

4 Issues per year


IMPACT FACTOR 2015: 0.673

SCImago Journal Rank (SJR) 2015: 0.997
Source Normalized Impact per Paper (SNIP) 2015: 0.683
Impact per Publication (IPP) 2015: 0.765

Mathematical Citation Quotient (MCQ) 2015: 0.68

Online
ISSN
1609-9389
See all formats and pricing
Volume 5, Issue 4 (Jan 2005)

Issues

Three Matlab Implementations of the Lowest-order Raviart-Thomas Mfem with a Posteriori Error Control

C. Bahriawati
  • Institute for Applied Mathematics and Numerical Analysis, Vienna, University of Technology Wiedner Hauptstraße 8-10, A-1040 Vienna, Austria.
  • Email:
C. Carstensen
  • Department of Mathematics, Humboldt University Berlin, Unter den Linden 6, D-10099 Berlin, Germany.
  • Email:

Abstract

The numerical approximation of the Laplace equation with inhomogeneous mixed boundary conditions in 2D with lowest-order Raviart-Thomas mixed finite elements is realized in three flexible and short MATLAB programs. It is the aim of this paper to derive, document, illustrate, and validate the three MATLAB implementations EBmfem, LMmfem, and CRmfem for further use and modification in education and research. A posteriori error control with a reliable and efficient averaging technique is included to monitor the discretization error. Therein, emphasis is on the correct treatment of mixed boundary conditions. Numerical examples illustrate some applications of the provided software and the quality of the error estimation.

Keywords: Matlab; implementation; mixed finite element method; Raviart-Thomas finite element method; Crouzeix-Raviart finite element method; nonconforming finite element method

About the article

Received: 2005-06-19

Revised: 2005-08-16

Accepted: 2005-10-25

Published in Print:


Citation Information: Computational Methods in Applied Mathematics Comput. Methods Appl. Math., ISSN (Online) 1609-9389, ISSN (Print) 1609-4840, DOI: https://doi.org/10.2478/cmam-2005-0016. Export Citation

© Institute of Mathematics, NAS of Belarus. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY-NC-ND 4.0)

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Roland Herzog and Susann Mach
SIAM Journal on Numerical Analysis, 2016, Volume 54, Number 2, Page 688
[2]
Carsten Carstensen, Asha K. Dond, Neela Nataraj, and Amiya K. Pani
Numerische Mathematik, 2015
[3]
M. Arioli
SIAM Journal on Matrix Analysis and Applications, 2013, Volume 34, Number 2, Page 571
[4]
Lin Mu, Junping Wang, Yanqiu Wang, and Xiu Ye
Numerical Algorithms, 2013, Volume 63, Number 4, Page 753
[5]
V.J. Ervin
Computers & Mathematics with Applications, 2012, Volume 64, Number 8, Page 2765
[6]
Florian Frank, Balthasar Reuter, Vadym Aizinger, and Peter Knabner
Computers & Mathematics with Applications, 2015, Volume 70, Number 1, Page 11
[7]
I. Anjam and J. Valdman
Applied Mathematics and Computation, 2015
[8]
Jichun Li, Todd Arbogast, and Yunqing Huang
Computer Methods in Applied Mechanics and Engineering, 2009, Volume 198, Number 5-8, Page 680
[9]
Hao Pan and Hongxing Rui
Journal of Scientific Computing, 2012, Volume 52, Number 3, Page 563
[10]
J. Jaffré, M. Mnejja, and J.E. Roberts
Procedia Computer Science, 2011, Volume 4, Page 967
[11]
Huangxin Chen, Xuejun Xu, and Ronald H. W. Hoppe
Numerische Mathematik, 2010, Volume 116, Number 3, Page 383
[12]
Owe Axelsson and Radim Blaheta
Numerical Linear Algebra with Applications, 2010, Volume 17, Number 5, Page 787
[13]
David Colton, Peter Monk, and Jiguang Sun
Inverse Problems, 2010, Volume 26, Number 4, Page 045011
[14]
Marcus Rüter and Rolf Stenberg
Computational Mechanics, 2008, Volume 42, Number 3, Page 447
[15]
Min Yang, Jiangguo Liu, and Yanping Lin
Journal of Scientific Computing, 2015, Volume 63, Number 3, Page 699
[16]
Guang Lin, Jiangguo Liu, Lin Mu, and Xiu Ye
Journal of Computational Physics, 2014, Volume 276, Page 422
[17]
Guang Lin, Jiangguo Liu, and Farrah Sadre-Marandi
Journal of Computational and Applied Mathematics, 2015, Volume 273, Page 346

Comments (0)

Please log in or register to comment.
Log in