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Mathematical Foundations of Adaptive Isogeometric Analysis
https://orcid.org/0000-0002-0324-5674
https://orcid.org/0000-0002-5137-1405
https://orcid.org/0000-0002-1977-9830
Abstract 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.
Mathematical Foundations of Adaptive Isogeometric Analysis
https://orcid.org/0000-0002-0324-5674
https://orcid.org/0000-0002-5137-1405
https://orcid.org/0000-0002-1977-9830
Abstract 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.
Mathematical Foundations of Adaptive Isogeometric Analysis
https://orcid.org/0000-0002-0324-5674
https://orcid.org/0000-0002-5137-1405
https://orcid.org/0000-0002-1977-9830
Abstract 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.
Mathematical Foundations of Adaptive Isogeometric Analysis
Buffa, Annalisa (author) / Gantner, Gregor (author) / Giannelli, Carlotta (author) / Praetorius, Dirk (author) / Vázquez, Rafael (author)
2022
Article (Journal)
Electronic Resource
English
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