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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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Detalles Bibliográficos
Autores principales: Buffa, Annalisa, Gantner, Gregor, Giannelli, Carlotta, Praetorius, Dirk, Vázquez, Rafael
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2022
Materias:
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
Descripción
Sumario: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.