Generating star-shaped blocks for scaled boundary multipatch IGA
type: Item
instance of: scholarly article
title: Generating star-shaped blocks for scaled boundary multipatch IGA
zbMATH Open document ID: 1495.65205
DOI: 10.1007/978-3-030-49836-8_1
author: Benjamin Bauer
author: Clarissa Arioli
author: B. Simeon
publication date: 2021-09-03T00:00:00Z
review text: This article discusses numerical approximation methods for partial differential equations by means of the scaled boundary isogeometric analysis method. In the curent framework, the authors use the decomposition of a domain into star-shaped blocks, specifically named the quadtree decomposition and the art gallery decomposition. A computational criterion for the identification of the star-shapedness of a block is provided. In the case of the art gallery decomposition an extension of Fisk's method and the Voronoi diagram are employed. Applications to the Poisson equation on different geometries are included. For the entire collection see [Zbl 1467.65001].
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 05B45
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 7390534
zbMATH Keywords: isogeometric analysis
zbMATH Keywords: star-shaped blocks
zbMATH Keywords: quadtree decomposition
zbMATH Keywords: art gallery decomposition
zbMATH Keywords: Voronoi diagram
MaRDI profile type: Publication
full work available at URL: 978-3-030-49836-8 1
OpenAlex ID: W3120093899
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description: scientific article; zbMATH DE number 7390534