Quality of approximating a mass-emitting object by a point source in a diffusion model

DOI10.1016/J.CAMWA.2023.10.034arXiv2305.00717OpenAlexW4388473294MaRDI QIDQ6143687

Sander Cornelis Hille, Q. Peng

Publication date: 5 January 2024

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.00717

zbMATH Keywords

diffusion equationpoint sourceGaussian kernelnumerical analysisDirac Delta distribution

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Cell biology (92C37) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

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• Numerical methods to compute stresses and displacements from cellular forces: application to the contraction of tissue
• Modelling the movement of interacting cell populations
• Modelling with measures: approximation of a mass-emitting object by a point source
• Point forces in elasticity equation and their alternatives in multi dimensions

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