A posteriori error control for the finite cell method-Reference-Cited by-同舟云学术

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A posteriori error control for the finite cell method

Published:2019-10-08 Issue:1 Volume:19 Page:
ISSN:1617-7061
Container-title:PAMM
language:en
Short-container-title:Proc. Appl. Math. Mech.

Author:

Di Stolfo Paolo¹,Düster Alexander²,Kollmannsberger Stefan³,Rank Ernst³,Schröder Andreas¹

Affiliation:

1. Department of Mathematics University of Salzburg Austria

2. Numerical Structural Analysis with Application in Ship Technology (M-10) Hamburg University of Technology Germany

3. Chair for Computation in Engineering Technische Universität München Germany

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.201900419

Reference8 articles.

1. J.Parvizian A.DüsterandE.Rank Finite cell method – h- and p-extension for embedded domain problems in solid mechanics Computational Mechanics 41 (1) 121–133 (2007)

2. D.SchillingerM.RuessN.ZanderY.BazilevsA.DüsterandE.Rank:Small and large deformation analysis with the p- and B-spline versions of the Finite Cell Method. Computational Mechanics 50 (4) 445–478 (2012)

3. A.AbedianJ.ParvizianA.DüsterandE.Rank:The finite cell method for the J2 flow theory of plasticity. Finite Elements in Analysis and Design 69 37–47 (2013)

4. R.Becker andR.Rannacher:An optimal control approach to a posteriori error estimation in finite element methods. Acta numerica 10 1–102(2001).

5. P.Di Stolfo A.Rademacher andA.Schröder:Dual weighted residual error estimation for the finite cell method Journal of Numerical Mathematics published online(2019).

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1. Residual-based error estimation and adaptivity for stabilized immersed isogeometric analysis using truncated hierarchical B-splines;Journal of Mechanics;2022

2. Error Control and Adaptivity for the Finite Cell Method;Non-standard Discretisation Methods in Solid Mechanics;2022

3. The Finite Cell Method for Simulation of Additive Manufacturing;Non-standard Discretisation Methods in Solid Mechanics;2022

4. Adaptive Quadrature and Remeshing Strategies for the Finite Cell Method at Large Deformations;Non-standard Discretisation Methods in Solid Mechanics;2022

5. Reliable Residual-Based Error Estimation for the Finite Cell Method;Journal of Scientific Computing;2021-02-23

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