Abstract
A short Matlab implementation for P 1-x 1 finite elements on triangles and parallelograms is provided for the numerical solution of elliptic problems with mixed boundary conditions on unstructured grids. According to the shortness of the program and the given documentation, any adaptation from simple model examples to more complex problems can easily be performed. Numerical examples prove the flexibility of the Matlab tool.
Similar content being viewed by others
References
S.C. Brenner and L.R. Scott, The Mathematical Theory of Finite Element Methods, Texts in Applied Mathematics, Vol. 15 (Springer, New York, 1994).
P.G. Ciarlet, The Finite Element Method for Elliptic Problems (North-Holland, Amsterdam, 1978).
L. Langemyr et al., Partial Differential Equation Toolbox User's Guide (The Math Works, Inc. 1995).
H.R. Schwarz, Methode der Finiten Elemente (Teubner, Stuttgart, 1991).
Rights and permissions
About this article
Cite this article
Alberty, J., Carstensen, C. & Funken, S.A. Remarks around 50 lines of Matlab: short finite element implementation. Numerical Algorithms 20, 117–137 (1999). https://doi.org/10.1023/A:1019155918070
Issue Date:
DOI: https://doi.org/10.1023/A:1019155918070