Corrected Stabilized Non-conforming Nodal Integration in Meshfree Methods

DOI10.1007/978-3-642-32979-1_5zbMath1267.65186OpenAlexW55444885MaRDI QIDQ2838317

Jiun-Shyan Chen, Michael Hillman, Marcus Olavi Rüter

Publication date: 9 July 2013

Published in: Meshfree Methods for Partial Differential Equations VI (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-32979-1_5

zbMATH Keywords

reproducing kernel particle methodstrain smoothingintegration constraintstabilized non-conforming nodal integration

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (7)

An efficient nesting sub-domain gradient smoothing integration algorithm with quadratic exactness for Galerkin meshfree methods ⋮ Goal-oriented explicit residual-type error estimates in XFEM ⋮ An inherently consistent reproducing kernel gradient smoothing framework toward efficient Galerkin meshfree formulation with explicit quadrature ⋮ Nodally integrated thermomechanical RKPM. I: Thermoelasticity ⋮ Stabilized and variationally consistent integrated meshfree formulation for advection-dominated problems ⋮ A stabilized quasi and bending consistent meshfree Galerkin formulation for Reissner-Mindlin plates ⋮ A stabilised mixed meshfree method for incompressible media: application to linear elasticity and Stokes flow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Effect of numerical integration on meshless methods
• On the duality of finite element discretization error control in computational Newtonian and Eshelbian mechanics
• Numerical integration of the Galerkin weak form in meshfree methods
• Nodal integration of the element-free Galerkin method
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• Quadrature for meshless methods
• Meshfree and finite element nodal integration methods
• Non-linear version of stabilized conforming nodal integration for Galerkin mesh-free methods

This page was built for publication: Corrected Stabilized Non-conforming Nodal Integration in Meshfree Methods