Point forces in elasticity equation and their alternatives in multi dimensions

DOI10.1016/j.matcom.2022.03.021OpenAlexW3087610063WikidataQ113869156 ScholiaQ113869156MaRDI QIDQ2672359

Q. Peng, Fred J. Vermolen

Publication date: 8 June 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08795

zbMATH Keywords

point forcessingular solutionDirac delta distributionimmersed boundary approachsmoothed particle approach``hole approach

Mathematics Subject Classification ID

Biology and other natural sciences (92-XX) Fluid mechanics (76-XX)

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Cites Work

• The method of fundamental solutions for layered elastic materials
• Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity
• A singularity removal method for coupled 1D-3D flow models
• Finite element convergence for singular data
• A variational approach for a nonlinear 1-dimensional second gradient continuum damage model
• Finite Element Approximation of Elliptic Problems with Dirac Measure Terms in Weighted Spaces: Applications to One- and Three-dimensional Coupled Problems
• Optimal A Priori Error Estimates for an Elliptic Problem with Dirac Right-Hand Side
• Local error estimates of the finite element method for an elliptic problem with a Dirac source term
• Theoretical Numerical Analysis
• Finite Elements

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