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

DOI10.1016/j.camwa.2021.08.017OpenAlexW3128118500MaRDI QIDQ2234893

Kenta Kobayashi, Ryo Suzuki, Hiroki Ishizaka, Takuya Tsuchiya

Publication date: 19 October 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.04767

zbMATH Keywords

finite elementLagrange interpolationmaximum angle conditiontetrahedrons

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (2)

Anisotropic Raviart-Thomas interpolation error estimates using a new geometric parameter ⋮ Anisotropic interpolation error estimates using a new geometric parameter

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On angle conditions in the finite element method
• A priori error estimates for Lagrange interpolation on triangles.
• On semiregular families of triangulations and linear interpolation
• On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions
• Anisotropic interpolation with applications to the finite element method
• Error analysis of Lagrange interpolation on tetrahedrons
• General theory of interpolation error estimates on anisotropic meshes
• On the Maximum Angle Condition for Linear Tetrahedral Elements
• On the Angle Condition in the Finite Element Method
• Error estimates for 3-d narrow finite elements
• Uniform Error Estimates for Certain Narrow Lagrange Finite Elements
• The Mathematical Theory of Finite Element Methods

This page was built for publication: A new geometric condition equivalent to the maximum angle condition for tetrahedrons