A new geometric condition equivalent to the maximum angle condition for tetrahedrons

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.08.017 ◽

2021 ◽

Vol 99 ◽

pp. 323-328

Author(s):

Hiroki Ishizaka ◽

Kenta Kobayashi ◽

Ryo Suzuki ◽

Takuya Tsuchiya

Keyword(s):

Geometric Condition ◽

Maximum Angle Condition ◽

Angle Condition ◽

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On the generalization of the Synge–Křížek maximum angle condition ford-simplices

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.03.003 ◽

2019 ◽

Vol 358 ◽

pp. 29-33 ◽

Author(s):

Ali Khademi ◽

Sergey Korotov ◽

Jon Eivind Vatne

Keyword(s):

Maximum Angle Condition ◽

Angle Condition ◽

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Maximum Angle Condition for n-Dimensional Simplicial Elements

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications ENUMATH 2017 ◽

10.1007/978-3-319-96415-7_72 ◽

2019 ◽

pp. 769-775 ◽

Author(s):

Antti Hannukainen ◽

Sergey Korotov ◽

Michal Křížek

Keyword(s):

Maximum Angle Condition ◽

Angle Condition ◽

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On the maximum angle condition for the conforming longest-edge n-section algorithm for large values of n

Computer Aided Geometric Design ◽

10.1016/j.cagd.2014.12.001 ◽

2015 ◽

Vol 32 ◽

pp. 69-73 ◽

Author(s):

Sergey Korotov ◽

Ángel Plaza ◽

José P. Suárez

Keyword(s):

Maximum Angle Condition ◽

Angle Condition ◽

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The maximum angle condition in the finite element method for monotone problems with applications in magnetostatics

Numerische Mathematik ◽

10.1007/s002110050151 ◽

1995 ◽

Vol 71 (3) ◽

pp. 399-417 ◽

Author(s):

Alexander Ženíšek

Keyword(s):

Finite Element Method ◽

Finite Element ◽

The Finite Element Method ◽

Maximum Angle Condition ◽

Angle Condition ◽

Maximum Angle ◽

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The Maximum Angle Condition for Mixed and Nonconforming Elements: Application to the Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142997331293 ◽

1999 ◽

Vol 37 (1) ◽

pp. 18-36 ◽

Author(s):

Gabriel Acosta ◽

Ricardo G. Durán

Keyword(s):

Stokes Equations ◽

Maximum Angle Condition ◽

Angle Condition ◽

Maximum Angle ◽

Nonconforming Elements

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The maximum angle condition is not necessary for convergence of the finite element method

Numerische Mathematik ◽

10.1007/s00211-011-0403-2 ◽

2011 ◽

Vol 120 (1) ◽

pp. 79-88 ◽

Author(s):

Antti Hannukainen ◽

Sergey Korotov ◽

Michal Křížek

Keyword(s):

Finite Element Method ◽

Finite Element ◽

The Finite Element Method ◽

Maximum Angle Condition ◽

Angle Condition ◽

Maximum Angle ◽

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Maximum-Angle Condition and Triangular Finite Elements of Hermite Type

Mathematics of Computation ◽

10.2307/2153477 ◽

1995 ◽

Vol 64 (211) ◽

pp. 929 ◽

Author(s):

Alexander Zenisek

Keyword(s):

Finite Elements ◽

Maximum Angle Condition ◽

Angle Condition ◽

Maximum Angle ◽

Triangular Finite Elements

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Error Estimates for the Raviart–Thomas Interpolation Under the Maximum Angle Condition

SIAM Journal on Numerical Analysis ◽

10.1137/060665312 ◽

2008 ◽

Vol 46 (3) ◽

pp. 1442-1453 ◽

Author(s):

Ricardo G. Durán ◽

Ariel L. Lombardi

Keyword(s):

Error Estimates ◽

Maximum Angle Condition ◽

Angle Condition ◽

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Crouzeix–Raviart and Raviart–Thomas finite-element error analysis on anisotropic meshes violating the maximum-angle condition

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-020-00455-7 ◽

2021 ◽

Author(s):

Hiroki Ishizaka ◽

Kenta Kobayashi ◽

Takuya Tsuchiya

Keyword(s):

Finite Element ◽

Error Analysis ◽

Anisotropic Meshes ◽

Maximum Angle Condition ◽

Angle Condition ◽

Maximum Angle ◽

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The Maximum Angle Condition in the Finite Element Method

finite element methods ◽

10.1201/b16924-48 ◽

2016 ◽

pp. 505-518

Keyword(s):

Finite Element Method ◽

Finite Element ◽

The Finite Element Method ◽

Maximum Angle Condition ◽

Angle Condition ◽

Maximum Angle ◽

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