An Adaptive Polygonal Scaled Boundary Finite Element Method for Elastodynamics

DOI10.1142/S0219876216400156zbMath1359.74006OpenAlexW2233885867MaRDI QIDQ2972099

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Publication date: 7 April 2017

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876216400156

zbMATH Keywords

elastodynamicsadaptivitypolygonal elementSBFEMenergy error estimator

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Kinematics of deformation (74A05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

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Cites Work

• Fifteen node tetrahedral elements for explicit methods in nonlinear solid dynamics
• Polygon scaled boundary finite elements for crack propagation modelling
• Adaptive analysis using the node-based smoothed finite element method (NS-FEM)
• An n-sided polygonal edge-based smoothed finite element method (nES-FEM) for solid mechanics
• The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
• A postprocessed error estimate and an adaptive procedure for the semidiscrete finite element method in dynamic analysis
• Anh-hierarchical adaptive procedure for the scaled boundary finite-element method
• Modelling and simulation of high‐speed machining

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