Mesh Adaptive Techniques for Finite Element Solvers | Matias Fjeldmark
| | Abstract | The theoretical foundation of the finite element method is presented and the major mathematical results from finite element analysis are presented and some are proven.
The implementation of two methods for solving steady state problems are presented. In particular, we show the implementation of an Adaptive Mesh Refinement algorithm, and its performance is evaluated. We find that the adaptive algorithm greatly outperforms a standard finite element method. Methods for handling time-dependent problems with the finite element method are also presented, along with an implementation of one of those methods.
MATLAB code of the implemented finite element solver is provided, which can solve the Poisson problem and the heat equation on a rectangular domain. | | Type | Bachelor thesis [Academic thesis] | | Year | 2015 | | Publisher | Technical University of Denmark, Department of Applied Mathematics and Computer Science | | Address | Richard Petersens Plads, Building 324, DK-2800 Kgs. Lyngby, Denmark, compute@compute.dtu.dk | | Series | DTU Compute B.Sc.-2015 | | Note | DTU supervisor: Allan P. Engsig-Karup, apek@dtu.dk, DTU Compute | | Electronic version(s) | [pdf] | | Publication link | http://www.compute.dtu.dk/English.aspx | | BibTeX data | [bibtex] | | IMM Group(s) | Scientific Computing |
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