Moderate-degree tetrahedral quadrature formulas

DOI10.1016/0045-7825(86)90059-9zbMath0572.65008OpenAlexW2065399919MaRDI QIDQ1062417

Publication date: 1986

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(86)90059-9

zbMATH Keywords

symmetry quadrature formulas tetrahedron minimum point rules

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (50)

An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains ⋮ New computationally efficient quadrature formulas for triangular prism elements ⋮ A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-curtiss-based constitutive model of rarefied and microscale gas flows ⋮ A high order positivity-preserving conservative WENO remapping method on 3D tetrahedral meshes ⋮ Permeability calculations in three-dimensional isotropic and oriented fiber networks ⋮ More continuous mass-lumped triangular finite elements ⋮ Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners. ⋮ Higher-order multi-dimensional limiting process for DG and FR/CPR methods on tetrahedral meshes ⋮ A high-order three-dimensional numerical manifold method enriched with derivative degrees of freedom ⋮ Lagrangian finite-element method for the simulation of K-BKZ fluids with third order accuracy ⋮ Lagrangian finite element method for 3D time-dependent non-isothermal flow of K-BKZ fluids ⋮ Exact integrations of polynomials and symmetric quadrature formulas over arbitrary polyhedral grids ⋮ Higher-order triangular spectral element method with optimized cubature points for seismic wavefield modeling ⋮ A new high-order finite volume method for 3D elastic wave simulation on unstructured meshes ⋮ The tetrahedral finite cell method: Higher-order immersogeometric analysis on adaptive non-boundary-fitted meshes ⋮ Exact non-reflecting boundary condition for 3D time-dependent multiple scattering-multiple source problems ⋮ Unisolvence of symmetric node patterns for polynomial spaces on the simplex ⋮ Multifield finite strain plasticity: theory and numerics ⋮ Second-order pyramid element formulations suitable for lumped-mass explicit methods in nonlinear solid mechanics ⋮ Three-component volume coordinate system for constructing high performance elements ⋮ Fast heat transfer simulation for laser powder bed fusion ⋮ Symmetric quadrature rules for tetrahedra based on a cubic close-packed lattice arrangement ⋮ HIGHER-ORDER MASS-LUMPED FINITE ELEMENTS FOR THE WAVE EQUATION ⋮ Fifteen node tetrahedral elements for explicit methods in nonlinear solid dynamics ⋮ A combined three-dimensional finite element and scattering matrix method for the analysis of plane wave diffraction by bi-periodic, multilayered structures ⋮ Stabilization methods in relaxed micromagnetism ⋮ Efficient Quadrature Rules for Computing the Stiffness Matrices of Mass-Lumped Tetrahedral Elements for Linear Wave Problems ⋮ Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems ⋮ Pure equilibrium tetrahedral finite elements for global error estimation by dual analysis ⋮ High-order methods for simulations in engineering ⋮ Large deformation analysis of elastoplastic homogeneous materials via high order tetrahedral finite elements ⋮ Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons ⋮ On the identification of symmetric quadrature rules for finite element methods ⋮ Robust local problem error estimation for a singularly perturbed problem on anisotropic finite element meshes ⋮ Enhanced error estimator for adaptive finite element analysis of 3D incompressible flow ⋮ A simple, first-order, well-conditioned, and optimally convergent generalized/extended FEM for two- and three-dimensional linear elastic fracture mechanics ⋮ High-order tetrahedral finite elements applied to large deformation analysis of functionally graded rubber-like materials ⋮ hp-Generalized FEM and crack surface representation for non-planar 3-D cracks ⋮ Bibliography on the evaluation of numerical software ⋮ Crouzeix-Raviart and Raviart-Thomas finite-element error analysis on anisotropic meshes violating the maximum-angle condition ⋮ Multiphysics Computational Modeling in $\boldsymbol{\mathcal{C}}\mathbf{Heart}$ ⋮ Generalized finite element method enrichment functions for curved singularities in 3D fracture mechanics problems ⋮ Geometrically accurate, efficient, and flexible quadrature techniques for the tetrahedral finite cell method ⋮ Cubature formulas for the surface of the sphere ⋮ $o$ FEM: an object oriented finite element package for Matlab ⋮ Marching cubes-based isogeometric topology optimization method with parametric level set ⋮ Monomial cubature rules since ``Stroud: A compilation ⋮ Stable spectral difference approach using Raviart-Thomas elements for 3D computations on tetrahedral grids ⋮ Constructing fully symmetric cubature formulae for the sphere ⋮ The p-Weighted Limiter for the Discontinuous Galerkin Method in Solving Compressible Flows on Tetrahedral Grids

Cites Work

This page was built for publication: Moderate-degree tetrahedral quadrature formulas