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p1afem

swMATH ID: 8489
Software Authors: Funken, Stefan; Praetorius, Dirk; Wissgott, Philipp
Description: Efficient implementation of adaptive P1-FEM in Matlab. We provide a Matlab package p1afem for an adaptive P1-finite element method (AFEM). This includes functions for the assembly of the data, different error estimators, and an indicator-based adaptive meshrefining algorithm. Throughout, the focus is on an efficient realization by use of Matlab built-in functions and vectorization. Numerical experiments underline the efficiency of the code which is observed to be of almost linear complexity with respect to the runtime. Although the scope of this paper is on AFEM, the general ideas can be understood as a guideline for writing efficient Matlab code
Homepage: http://131.220.77.52/files/preprints/computational_mathematics/p1afem.pdf
Dependencies: Matlab
Keywords: {sc Matlab} program; finite element method; adaptivity; mesh refinement; mesh coarsening
Related Software: Matlab; na14; iFEM; GitHub; AFEM@matlab; mfem; Gmsh; ALEA; Ameshref; FreeFem++; Octave; XFEM; T-IFISS; ALBERTA; HILBERT; DistMesh; FEniCS; deal.ii; Algorithm 949; ParaView
Referenced in: 43 Publications
all top 5

Referenced by 86 Authors

7 Praetorius, Dirk
4 Funken, Stefan A.
4 Liu, Gui-Rong
4 Nguyen-Xuan, Hung
3 Carstensen, Carsten
3 Feischl, Michael
3 Schmidt, Anja
2 Aurada, Markus
2 Heid, Pascal
2 Karkulik, Michael
2 Silvester, David J.
2 Valdman, Jan
2 Wihler, Thomas Pascal
1 Adam, Lukáš
1 Aguayo, Jorge
1 Aizinger, Vadym
1 Alouges, François
1 Anjam, Immanuel
1 Araya, Rodolfo A.
1 Aussal, Matthieu
1 Avijit, D.
1 Bespalov, Alexei
1 Castillo, María Emilia
1 Cavoretto, Roberto
1 Celiker, Emine
1 Ciuprina, Gabriela
1 Cockburn, Bernardo
1 Cuvelier, François
1 de Borst, René
1 De Rossi, Alessandra
1 Dudzinski, Michael
1 Ebner, Michael
1 Ferraz-Leite, Samuel
1 Frank, Florian
1 Fu, Zhixing
1 Führer, Thomas
1 Gallistl, Dietmar
1 Gatica, Luis F.
1 Gedicke, Joscha
1 Goldenits, Petra
1 Hintermüller, Michael
1 Innerberger, Michael
1 Ioan, Daniel
1 Japhet, Caroline
1 Knabner, Peter
1 Kurz, Stefan
1 Li, Guanglian
1 Liesen, Jörg
1 Lin, Ping
1 Longo, Marcello
1 Madden, Niall
1 Mayr, Markus
1 Melenk, Jens Markus
1 Morin, Pedro
1 Muñoz, Santiago
1 Natarajan, Sundararajan
1 Nguyen-Thoi, Trung
1 Nguyen-Tran, C.
1 Page, Marcus
1 Papež, Jan
1 Pauly, Dirk
1 Peerlings, Ron H. J.
1 Peschka, Dirk
1 Rabczuk, Timon
1 Rahman, Talal
1 Repin, Sergeĭ Igorevich
1 Reuter, Balthasar
1 Rocchi, Leonardo
1 Rokoš, Ondřej
1 Rozgić, Marco
1 Russell, Stephen J.
1 Sayas, Francisco-Javier
1 Scaglioni, Andrea
1 Scarella, Gilles
1 Scheichl, Robert
1 Schilders, Wilhelmus H. A.
1 Sebastian, Daniel
1 Stiemer, Marcus
1 Strakoš, Zdeněk
1 Surowiec, Thomas
1 Walloth, Mirjam
1 Wissgott, Philipp
1 Wu, Cheng-Tang
1 Xu, Yifeng
1 Zeman, Jan
1 Zhang, Wujun

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