On angle conditions in the finite element nethod-Reference-Cited by-同舟云学术

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On angle conditions in the finite element nethod

Published:2011-09 Issue:1 Volume:56 Page:81-95
ISSN:1575-9822
Container-title:SeMA Journal
language:en
Short-container-title:SeMA

Author:

Brandts Jan,Hannukainen Antti,Korotov Sergey,Křîžek Michal

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization,Modelling and Simulation,Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1007/BF03322598.pdf

Reference45 articles.

1. G. Acosta, T. Apel, R. G. Durán, A. L. Lombardi. Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra. Math. Comput. 80 (2011), 141–163.

2. T. Apel. Anisotropic Finite Elements: Local Estimates and Applications, Adv. in Numer. Math., B. G. Teubner, Stuttgart, 1999.

3. I. Babuška, A. K. Aziz. On the angle condition in the finite element method. SIAM J. Numer. Anal. 13 (1976), 214–226.

4. R. E. Barnhill, J. A. Gregory. Sard kernel theorems on triangular domains with applications to finite element error bounds. Numer. Math. 25 (1976), 215–229.

5. J. Brandts, S. Korotov, M. Křížek. The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem. Linear Algebra Appl. 429 (2008), 2344–2357.

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1. A new geometric condition equivalent to the maximum angle condition for tetrahedrons;Computers & Mathematics with Applications;2021-10

2. On the generalization of the Synge–Křížek maximum angle condition ford-simplices;Journal of Computational and Applied Mathematics;2019-10

3. On Equivalence of Maximum Angle Conditions for Tetrahedral Finite Element Meshes;Lecture Notes in Computational Science and Engineering;2019

4. Spaces of Simplicial Shapes;Lecture Notes in Computational Science and Engineering;2019

5. On Jamet’s Estimates for the Finite Element Method with Interpolation at Uniform Nodes of a Simplex;Siberian Advances in Mathematics;2018-01

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