arXiv Open Access 2021

Mathematical foundations of adaptive isogeometric analysis

Annalisa Buffa Gregor Gantner Carlotta Giannelli Dirk Praetorius Rafael Vázquez

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Abstrak

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 (FEM) and the boundary element method (BEM) in the frame of isogeometric analysis (IGA).

Topik & Kata Kunci

math.NA

Penulis (5)

Annalisa Buffa

Gregor Gantner

Carlotta Giannelli

Dirk Praetorius

Rafael Vázquez

Format Sitasi

APA MLA BibTeX

Buffa, A., Gantner, G., Giannelli, C., Praetorius, D., Vázquez, R. (2021). Mathematical foundations of adaptive isogeometric analysis. https://arxiv.org/abs/2107.02023

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓