Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods

DOI10.1016/j.cma.2022.115310OpenAlexW4285082095WikidataQ114196747 ScholiaQ114196747MaRDI QIDQ2674064

R. R. Hiemstra, Thi-Hoa Nguyen, Dominik Schillinger, Stein K. F. Stoter

Publication date: 22 September 2022

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

Full work available at URL: https://arxiv.org/abs/2201.10475

zbMATH Keywords

critical time stepmass matrixhigher-ordermass scalingexplicit time-integrationvariational consistency

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (3)

Data-driven synchronization-avoiding algorithms in the explicit distributed structural analysis of soft tissue ⋮ A mathematical theory for mass lumping and its generalization with applications to isogeometric analysis ⋮ Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics

Uses Software

• RODAS
• ABAQUS/Standard
• FEAPpv

Cites Work

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• Variational methods for selective mass scaling
• Increasing the critical time step: micro-inertia, inertia penalties and mass scaling
• Ghost penalty
• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• Finite element mass matrix lumping by numerical integration with no convergence rate loss
• Theory and practice of finite elements.
• Skeleton-stabilized immersogeometric analysis for incompressible viscous flow problems
• A hybrid isogeometric approach on multi-patches with applications to Kirchhoff plates and eigenvalue problems
• A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations
• A boundary penalization technique to remove outliers from isogeometric analysis on tensor-product meshes
• A rigorous and unified mass lumping scheme for higher-order elements
• Selective mass scaling for distorted solid-shell elements in explicit dynamics: optimal scaling factor and stable time step estimate
• Isogeometric Analysis
• Selective mass scaling for explicit finite element analyses
• Iterative solution technique in selective mass scaling

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