Efficient adaptive integration of functions with sharp gradients and cusps in n‐dimensional parallelepipeds
From MaRDI portal
Publication:4897990
DOI10.1002/nme.4267zbMath1253.65034arXiv1202.5341OpenAlexW2107845361MaRDI QIDQ4897990
S. E. Mousavi, N. Sukumar, John Ernest Pask
Publication date: 29 December 2012
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.5341
density functional theoryadaptive quadraturecuspspartition-of-unity enrichmentsharp gradientsoctree refinement
Related Items (7)
Accuracy of three-dimensional analysis of regularized singularities ⋮ Efficient quadrature rules for finite element discretizations of nonlocal equations ⋮ Finite element quadrature of regularized discontinuous and singular level set functions in 3D problems ⋮ Variationally derived discontinuity capturing methods: fine scale models with embedded weak and strong discontinuities ⋮ XFEM with equivalent eigenstrain for matrix-inclusion interfaces ⋮ An effective XFEM with equivalent eigenstrain for stress intensity factors of homogeneous plates ⋮ An adaptive quadrature-based factorization method for inverse acoustic scattering problems
Uses Software
Cites Work
- Generalized finite element analysis of three-dimensional heat transfer problems exhibiting sharp thermal gradients
- Studied X-FEM enrichment to handle material interfaces with higher order finite element
- Numerical integration of functions with a sharp peak at or near one boundary using Möbius transformations
- The smooth piecewise polynomial particle shape functions corresponding to patch-wise non-uniformly spaced particles for meshfree particle methods
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- An adaptive algorithm for numerical integration over an \(n\)-dimensional cube
- The partition of unity finite element method: basic theory and applications
- Adaptive quadrature -- Revisited
- Solving thermal and phase change problems with the extended finite element method
- Multi-dimensional quadrature of singular and discontinuous functions
- A regularized XFEM framework for embedded cohesive interfaces
- A discontinuous enrichment method for variable-coefficient advection-diffusion at high Péclet number
- Strong and weak arbitrary discontinuities in spectral finite elements
- On the elimination of quadrature subcells for discontinuous functions in the eXtended Finite-Element Method
- Two-scale shear band evolution by local partition of unity
- Hierarchical p-version finite elements and adaptive a posteriori computational formulations for two-dimensional thermal analysis
- Higher-order XFEM for curved strong and weak discontinuities
- The XFEM for high-gradient solutions in convection-dominated problems
- Two-scale method for shear bands: thermal effects and variable bandwidth
- Classical and enriched finite element formulations for Bloch-periodic boundary conditions
- A regularized XFEM model for the transition from continuous to discontinuous displacements
- Recursive Gauss integration
- Algorithm 720: An algorithm for adaptive cubature over a collection of 3-dimensional simplices
- Error estimation in automatic quadrature routines
- An adaptive algorithm for the approximate calculation of multiple integrals
- Algorithm 706: DCUTRI: an algorithm for adaptive cubature over a collection of triangles
- An adaptive numerical cubature algorithm for simplices
- Symmetric integration rules for hypercubes. I. Error coefficients
- Unnamed Item
This page was built for publication: Efficient adaptive integration of functions with sharp gradients and cusps in n‐dimensional parallelepipeds
