Filtry
Maximum angle condition for n-dimensional simplicial elements
In this paper the Synge maximum angle condition for planar triangulations is generalized for higher-dimensional simplicial partitions. In addition, optimal interpolation properties are presented for linear simplicial elements
Pure mathematics
- 2019 •
- D •
- Odkaz
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
On Synge-type angle condition for d-simplices
in interpolation theory and further used in finite element analysis and applications for triangular and later also for tetrahedral finite element meshes. In this paper we present some of its generalizations to higher-dimensional
Applied mathematics
- 2017 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On the equivalence of ball conditions for simplicial finite elements in R-d
We prove that the inscribed and circumscribed ball conditions, commonly used in finite element analysis, are equivalent in any dimension.
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem
This paper provides a sufficient condition for the discrete maximum principle for a fully discrete linear simplicial finite element discretization of a reaction-diffusion problem to hold....
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A comparison of simplicial and block finite elements
recommend to carefully reconsider the common belief that the simplicial finite elementsIn this note we discuss and compare the performance of the finite element method (FEM) on two popular types of meshes - simplicial<...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
The maximum angle condition is not necessary for convergence of the finite element method
We show that the famous maximum angle condition in the finite element analysis is not necessary to achieve the optimal convergence rate when simplicial finite elements element approximations may converge even thoug...
BA - Obecná matematika
- 2012 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Generalization of the Zlámal condition for simplicial finite elements in Rd
The famous Zlámal's minimum angle condition has been widely used for construction of a regular family of triangulations (containing nondegenerating triangles) as well as in convergence proofs for the finite element method in 2d. In this pape...
BA - Obecná matematika
- 2011 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Strong Regularity of a Family of Face-to-Face Partitions Generated by the Longest-Edge Bisection Algorithm
We examine the longest-edge bisection algorithm that chooses for bisection the longest edge in a given face-to-face simplicial partition of a bounded polytopic domain in Rd. Dividing this edge at its midpoint, we define a locally refined par...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Simplicial Partitions with Applications to the Finite Element Method
This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method. This active area of research has become like d-dimensional rectangular blocks, simplicial partitions ...
Applied mathematics
- 2020 •
- B •
- Odkaz
Rok uplatnění
B - Odborná kniha
Výsledek na webu
On simplicial red refinement in three and higher dimensions
We show that in dimensions higher than two, the popular ?red refinement tech- nique, commonly used for simplicial mesh refinements and adaptivity in the finite element analysis and practice, never yields subsimplices which are all a...
BA - Obecná matematika
- 2013 •
- D •
- Odkaz
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
- 1 - 10 z 54 080