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Stability and condi...
Stability and conditioning of immersed finite element methods : analysis and remedies
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- de Prenter, Frits (författare)
- Faculty of Aerospace Engineering, Delft University of Technology, Delft, Netherlands; Reden - Research Development Netherlands, Hengelo (Ov.), Netherlands
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- Verhoosel, Clemens V. (författare)
- Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, Netherlands
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- van Brummelen, E. Harald (författare)
- Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, Netherlands
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- Larson, Mats G. (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Badia, Santiago (författare)
- School of Mathematics, Monash University, VIC, Clayton, Australia
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Faculty of Aerospace Engineering, Delft University of Technology, Delft, Netherlands; Reden - Research Development Netherlands, Hengelo (Ov), Netherlands Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, Netherlands (creator_code:org_t)
- Springer Nature, 2023
- 2023
- Engelska.
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Ingår i: Archives of Computational Methods in Engineering. - : Springer Nature. - 1134-3060 .- 1886-1784. ; 30, s. 3617-3656
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Abstract
Ämnesord
Stäng
- This review paper discusses the developments in immersed or unfitted finite element methods over the past decade. The main focus is the analysis and the treatment of the adverse effects of small cut elements. We distinguish between adverse effects regarding the stability and adverse effects regarding the conditioning of the system, and we present an overview of the developed remedies. In particular, we provide a detailed explanation of Schwarz preconditioning, element aggregation, and the ghost penalty formulation. Furthermore, we outline the methodologies developed for quadrature and weak enforcement of Dirichlet conditions, and we discuss open questions and future research directions.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
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