Mathematical Foundations of Adaptive Isogeometric Analysis

This paper reviews the state of the art and discusses recent developments in the field of adaptive isogeometric analysis, with special focus on the mathematical theory. This includes an overview of available spline technologies for the local resolution of possible singularities as well as the state-...

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Autores principales: Buffa, Annalisa, Gantner, Gregor, Giannelli, Carlotta, Praetorius, Dirk, Vázquez, Rafael
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2022
Materias:
Review Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9646785/
https://www.ncbi.nlm.nih.gov/pubmed/36397952
http://dx.doi.org/10.1007/s11831-022-09752-5
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author Buffa, Annalisa
Gantner, Gregor
Giannelli, Carlotta
Praetorius, Dirk
Vázquez, Rafael
author_facet Buffa, Annalisa
Gantner, Gregor
Giannelli, Carlotta
Praetorius, Dirk
Vázquez, Rafael
author_sort Buffa, Annalisa
collection PubMed
description This paper reviews the state of the art and discusses recent developments in the field of adaptive isogeometric analysis, with special focus on the mathematical theory. This includes an overview of available spline technologies for the local resolution of possible singularities as well as the state-of-the-art formulation of convergence and quasi-optimality of adaptive algorithms for both the finite element method and the boundary element method in the frame of isogeometric analysis.
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spelling pubmed-96467852022-11-15 Mathematical Foundations of Adaptive Isogeometric Analysis Buffa, Annalisa Gantner, Gregor Giannelli, Carlotta Praetorius, Dirk Vázquez, Rafael Arch Comput Methods Eng Review Article This paper reviews the state of the art and discusses recent developments in the field of adaptive isogeometric analysis, with special focus on the mathematical theory. This includes an overview of available spline technologies for the local resolution of possible singularities as well as the state-of-the-art formulation of convergence and quasi-optimality of adaptive algorithms for both the finite element method and the boundary element method in the frame of isogeometric analysis. Springer Netherlands 2022-09-30 2022 /pmc/articles/PMC9646785/ /pubmed/36397952 http://dx.doi.org/10.1007/s11831-022-09752-5 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Review Article
Buffa, Annalisa
Gantner, Gregor
Giannelli, Carlotta
Praetorius, Dirk
Vázquez, Rafael
Mathematical Foundations of Adaptive Isogeometric Analysis
title Mathematical Foundations of Adaptive Isogeometric Analysis
title_full Mathematical Foundations of Adaptive Isogeometric Analysis
title_fullStr Mathematical Foundations of Adaptive Isogeometric Analysis
title_full_unstemmed Mathematical Foundations of Adaptive Isogeometric Analysis
title_short Mathematical Foundations of Adaptive Isogeometric Analysis
title_sort mathematical foundations of adaptive isogeometric analysis
topic Review Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9646785/
https://www.ncbi.nlm.nih.gov/pubmed/36397952
http://dx.doi.org/10.1007/s11831-022-09752-5
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