A rigorous and unified mass lumping scheme for higher-order elements

From MaRDI portal
Publication:2309829

DOI10.1016/j.cma.2017.03.011zbMath1439.65125OpenAlexW2601226259MaRDI QIDQ2309829

Hong Zheng, M. V. Sivaselvan, Yongtao Yang

Publication date: 6 April 2020

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.2017.03.011




Related Items (40)

Improved numerical manifold method (iNMM) -- an extra-DOF free and interpolating NMM with continuous nodal stressAn edge-based smoothed numerical manifold method and its application to static, free and forced vibration analysesA Three-Node Triangular Element with Continuous Nodal Stress (Trig3-CNS) for Geometry Nonlinear Solid Mechanics ProblemsModelling the stability of a soil-rock-mixture slope based on the digital image technology and strength reduction numerical manifold methodDetermination of critical slip surface and safety factor of slope using the vector sum numerical manifold method and MAX-MIN ant colony optimization algorithmThe numerical manifold method for exterior problemsVariationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methodsA new family of high‐order triangular weight functions for mass lumping in vibration analysisA mathematical theory for mass lumping and its generalization with applications to isogeometric analysisCritical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamicsInvestigation of the excavation of stony soil slopes using the virtual element methodA high order discontinuous Galerkin method for the symmetric form of the anisotropic viscoelastic wave equationSteady seepage analysis in soil-rock-mixture slope using the numerical manifold methodIsogeometric analysis for explicit elastodynamics using a dual-basis diagonal mass formulationCritical assessment of different mass lumping schemes for higher order serendipity finite elementsEnriched three-field numerical manifold formulation for dynamics of fractured saturated porous mediaExplicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problemsA high-order numerical manifold method with continuous stress/strain fieldCone complimentary-based numerical manifold method modeling frictional and cohesive contact problemsAn explicit representation of cracks in the variational phase field method for brittle fracturesHydro-mechanical simulation of the saturated and semi-saturated porous soil-rock mixtures using the numerical manifold methodExplicit edge-based smoothed numerical manifold method for transient dynamic modeling of two-dimensional stationary cracksEnriched mixed numerical manifold formulation with continuous nodal gradients for dynamics of fractured poroelasticityA mixed three-node triangular element with continuous nodal stress for fully dynamic consolidation of porous mediaOn the Topology Update of the Numerical Manifold Method for Multiple Crack PropagationA numerical integration strategy of meshless numerical manifold method based on physical cover and applications to linear elastic fracturesNumerical manifold method for vibration analysis of Kirchhoff's plates of arbitrary geometryThree-dimensional numerical manifold formulation with continuous nodal gradients for dynamics of elasto-plastic porous mediaNumerical manifold computational homogenization for hydro-dynamic analysis of discontinuous heterogeneous porous mediaA note on the application of the Guermond-Pasquetti mass lumping correction technique for convection-diffusion problemsA mass lumping scheme for the 10-node tetrahedral elementMathematical cover refinement of the numerical manifold method for the stability analysis of a soil-rock-mixture slopeA high-order three dimensional numerical manifold method with continuous stress/strain fieldStatic and dynamic analysis of plane elasticity using complex Fourier manifold method based on numerical improvement of Gauss-Legendre quadrature techniquesModeling unconfined seepage flow in soil-rock mixtures using the numerical manifold methodWeibull grain-based model (W-GBM) for simulating heterogeneous mechanical characteristics of salt rockThree-dimensional MLS-based numerical manifold method for static and dynamic analysisStability analysis of soil-rock-mixture slopes using the numerical manifold methodOn the implementation of a hydro-mechanical coupling model in the numerical manifold methodAn implicit asynchronous variational integrator for flexible multibody dynamics



Cites Work


This page was built for publication: A rigorous and unified mass lumping scheme for higher-order elements