ISOGAT: A 2D tutorial MATLAB code for Isogeometric Analysis

Authors:
A. -V. Vuong;Ch. Heinrich;B. Simeon
Affiliations:
Technische Universität München, Centre for Mathematical Sciences, Boltzmannstraíe 3, 85748 Garching, Germany;Technische Universität München, Centre for Mathematical Sciences, Boltzmannstraíe 3, 85748 Garching, Germany;Technische Universität München, Centre for Mathematical Sciences, Boltzmannstraíe 3, 85748 Garching, Germany
Venue:
Computer Aided Geometric Design
Year:
2010

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Abstract

A tutorial 2D MATLAB code for solving elliptic diffusion-type problems, including Poisson's equation on single patch geometries, is presented. The basic steps of Isogeometric Analysis are explained and two examples are given. The code has a very lean structure and has been kept as simple as possible, such that the analogy but also the differences to traditional finite element analysis become apparent. It is not intended for large-scale problems.