[BOG][B] Simplicial partitions with applications to the finite element method

J Brandts, S Korotov, M Křížek - 2020 - Springer
Simplicial Partitions with Applications to the Finite Element Method Page 1 Springer
Monographs in Mathematics Simplicial Partitions with Applications to the Finite Element …

[HTML][HTML] On the generalization of the Synge–Křížek maximum angle condition for d-simplices

A Khademi, S Korotov, JE Vatne - Journal of Computational and Applied …, 2019 - Elsevier
In this note we present a generalization of the maximum angle condition, proposed by JL
Synge in 1957 and M. Křížek in 1992 for triangular and tetrahedral elements, respectively …

Tight bounds for the dihedral angle sums of a pyramid

S Korotov, LF Lund, JE Vatne - Applications of Mathematics, 2023 - Springer
We prove that eight dihedral angles in a pyramid with an arbitrary quadrilateral base always
sum up to a number in the interval (3π, 5π). Moreover, for any number in (3π, 5π) there …

Preserved structure constants for red refinements of product elements

S Korotov, JE Vatne - Numerical Geometry, Grid Generation and Scientific …, 2021 - Springer
In this paper we discuss some strategy for red refinements of product elements and show
that there are certain structure characteristics (d-sines of angles formed by certain edges in …

On equivalence of maximum angle conditions for tetrahedral finite element meshes

A Khademi, S Korotov, JE Vatne - … Celebrating the 150th Anniversary of GF …, 2019 - Springer
On Equivalence of Maximum Angle Conditions for Tetrahedral Finite Element Meshes |
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On mesh regularity conditions for simplicial finite elements

A Khademi, S Korotov, JE Vatne - Numerical Mathematics and Advanced …, 2020 - Springer
On Mesh Regularity Conditions for Simplicial Finite Elements | SpringerLink Skip to main
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Preserved Structure Constants for Red Refinements of Product Elements

JE Vatne, S Korotov - 2021 - biopen.bi.no
In this paper we discuss some strategy for red refinements of product elements and show
that there are certain structure characteristics (d-sines of angles formed by certain edges in …

[HTML][HTML] Estimation of the interpolation error for semiregular prismatic elements

A Khademi, JE Vatne - Applied Numerical Mathematics, 2020 - Elsevier
In this paper we introduce the semiregularity property for a family of decompositions of a
polyhedron into a natural class of prisms. In such a family, prismatic elements are allowed to …