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working paper
MATHICSE Technical Report : Mathematical Foundations of Adaptive Isogeometric Analysis
July 5, 2021
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).
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Name
adaptive_iga.pdf
Type
Preprint
Access type
openaccess
License Condition
Copyright
Size
5.64 MB
Format
Adobe PDF
Checksum (MD5)
5e20756afa82ce4542a094fb8b303aa4