A simple numerical method for Hele-Shaw type problems by the method of fundamental solutions
DOI10.1007/s13160-022-00530-1OpenAlexW3171022082MaRDI QIDQ2107457
Shigetoshi Yazaki, Yusaku Shimoji, Koya Sakakibara
Publication date: 1 December 2022
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.14811
magnetic fluidHele-Shaw flowAmano's methodthe method of fundamental solutionstime-dependent gapvolume-preserving property
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Other free boundary flows; Hele-Shaw flows (76D27) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)
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