Stable Implementation of Adaptive IGABEM in 2D in MATLAB

2022/03/01 by Gregor Gantner, Dirk Praetorius, Stefan Schimanko · 1 voice
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Advanced Numerical Methods in Computational Mathematics #Computer science #MATLAB #Numerical methods in engineering #Programming language #math.NA

paper · pdf · open access · doi:10.1515/cmam-2022-0050

published in Computational Methods in Applied Mathematics 22(3), 563-590 (De Gruyter)

arxiv published 2022/03/01 · arxiv updated 2022/03/01 · openalex created_date 2022/05/05 · openalex publication_date 2022/06/08 · openalex updated_date 2026/08/05

Abstract

Abstract We report on the Matlab program package IGABEM2D which provides an easily accessible implementation of adaptive Galerkin boundary element methods in the frame of isogeometric analysis and which is available on the web for free download. Numerical experiments with IGABEM2D underline the particular importance of adaptive mesh refinement for high accuracy in isogeometric analysis.

Citations

• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

Discussions

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