Journal
ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING
Volume 29, Issue 7, Pages 4479-4555Publisher
SPRINGER
DOI: 10.1007/s11831-022-09752-5
Keywords
41A15; 65D07; 65N12; 65N30; 65N38; 65N50; 65Y20
Categories
Funding
- TU Wien (TUW)
- European Research Council (ERC) [694515]
- Swiss National Science Foundation (SNF) [200021_188589]
- Austrian Science Fund (FWF) [P29096, W1245-N25, SFB F65, J4379-N]
- Istituto Nazionale di Alta Matematica (INdAM) through Gruppo Nazionale per il Calcolo Scientifico (GNCS)
- Finanziamenti Premiali SUNRISE
- Austrian Science Fund (FWF) [J4379, P29096] Funding Source: Austrian Science Fund (FWF)
- Swiss National Science Foundation (SNF) [200021_188589] Funding Source: Swiss National Science Foundation (SNF)
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This paper reviews recent developments in the field of adaptive isogeometric analysis, with a special focus on the mathematical theory. It provides an overview of available spline technologies for 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.
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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