Integration constraint in diffuse element method

DOI10.1016/j.cma.2003.12.014zbMath1060.74661OpenAlexW2088923971MaRDI QIDQ704600

A. Rassineux, Pierre Villon, J.-M. Savignat, Piotr Breitkopf

Publication date: 13 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.cma.2003.12.014

zbMATH Keywords

Numerical integrationMeshfree methodsMoving least squares approximationPatch test

Mathematics Subject Classification ID

Related Items (8)

A reduced multiscale model for nonlinear structural topology optimization ⋮ Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement ⋮ Localized Chebyshev and MLS collocation methods for solving 2D steady state nonlocal diffusion and peridynamic equations ⋮ Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems ⋮ Topology optimization of hierarchical lattice structures with substructuring ⋮ A 3D h-adaptive local remeshing technique for simulating the initiation and propagation of cracks in ductile materials ⋮ Modified numerical approaches for a class of Volterra integral equations with proportional delays ⋮ Numerical simulations of nonlocal phase-field and hyperbolic nonlocal phase-field models via localized radial basis functions-based pseudo-spectral method (LRBF-PSM)

Cites Work

• Generalizing the finite element method: Diffuse approximation and diffuse elements
• A mesh-free finite point method for advective-diffusive transport and fluid flow problems
• Numerical integration of the Galerkin weak form in meshfree methods
• On boundary conditions in the element-free Galerkin method
• Nodal integration of the element-free Galerkin method
• The method of finite spheres
• A new implementation of the element free Galerkin method
• Variational and momentum preservation aspects of smooth particle hydrodynamic formulations
• The finite difference method at arbitrary irregular grids and its application in applied mechanics
• Element‐free Galerkin methods
• A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
• Non-linear version of stabilized conforming nodal integration for Galerkin mesh-free methods
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Integration constraint in diffuse element method