Semiregular Hermite tetrahedral finite elements.

DOI10.1023/A:1013700225774zbMath1066.65118OpenAlexW54660289MaRDI QIDQ1771832

Alexander Ženíšek, Jana Hoderová-Zlámalová

Publication date: 19 April 2005

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33088

zbMATH Keywords

interpolationconvergencePoisson equationmaximum angle conditiontetrahedral Hermite finite elements

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (3)

On degenerating tetrahedra resulting from red refinements of tetrahedral partitions ⋮ Professor Alexander Ženíšek passed away. ⋮ On some interpolation third-degree polynomials on a three-dimensional simplex

Cites Work

• On semiregular families of triangulations and linear interpolation
• Anisotropic interpolation with applications to the finite element method
• Sard kernel theorems on triangular domains with application to finite element error bounds
• On the finite element method
• 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
• Maximum-Angle Condition and Triangular Finite Elements of Hermite Type
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