TITLE

Efficient Implementation of Adaptive P1-FEM in Matlab

AUTHOR(S)
Funken, Stefan; Praetorius, Dirk; Wissgott, Philipp
PUB. DATE
October 2011
SOURCE
Computational Methods in Applied Mathematics;2011, Vol. 11 Issue 4, p460
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
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 mesh-refining 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.
ACCESSION #
71149387

 

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