On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions

From MaRDI portal
Publication:945108

DOI10.1016/j.camwa.2007.11.010zbMath1142.65443OpenAlexW2169782119MaRDI QIDQ945108

Michal Křížek, Sergey Korotov, Jan H. Brandts

Publication date: 11 September 2008

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

Full work available at URL: https://pure.uva.nl/ws/files/4158658/56869_291237.pdf




Related Items

An adaptive FEM for a Maxwell interface problemBenchmarking the geometrical robustness of a virtual element Poisson solverProperties of triangulations obtained by the longest-edge bisectionOn Numerical Regularity of Trisection-Based Algorithms in 3DOn generalized Gauss-Radau projections and optimal error estimates of upwind-biased DG methods for the linear advection equation on special simplex meshesThe minimum angle condition for \(d\)-simplicesOn angle conditions in the finite element methodGeneralization of the Zlamal condition for simplicial finite elements in \(\mathbb {R}^{d}\)On global and local mesh refinements by a generalized conforming bisection algorithmThe maximum angle condition is not necessary for convergence of the finite element methodA new geometric condition equivalent to the maximum angle condition for tetrahedronsA priori error estimates for Lagrange interpolation on triangles.On Mesh Regularity Conditions for Simplicial Finite ElementsA novel element differential method for solid mechanical problems using isoparametric triangular and tetrahedral elementsAveraging of directional derivatives in vertices of nonobtuse regular triangulationsGeneral theory of interpolation error estimates on anisotropic meshesOn a Discrete Maximum Principle for Linear FE Solutions of Elliptic Problems with a Nondiagonal Coefficient MatrixOn the Poincaré-Friedrichs inequality for piecewise $H^\{1\}$ functions in anisotropic discontinuous Galerkin finite element methodsFinite element method with local damage of the meshLongest-edge \(n\)-section algorithms: properties and open problemsError estimates of triangular finite elements under a weak angle conditionBoundary least squares method with three-dimensional harmonic basis of higher order for solving linear div-curl systems with Dirichlet conditionsOn the equivalence of ball conditions for simplicial finite elements in \(\mathbf R^d\)Qualitative properties of discrete nonlinear parabolic operatorsVEM and the meshAnisotropic Raviart-Thomas interpolation error estimates using a new geometric parameterAnisotropic interpolation error estimates using a new geometric parameter



Cites Work