Semi-analytical computation of Laplacian Green functions in three-dimensional domains with disconnected spherical boundaries

The generalized method of separation of variables (GMSV) is applied to solve boundary value problems for the Laplace operator in three-dimensional domains with disconnected spherical boundaries (e.g., an arbitrary configuration of non-overlapping partially reactive spherical sinks or obstacles). We...

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Bibliographic Details
Published in:	Journal of computational physics Vol. 379; pp. 91 - 117
Main Authors:	Grebenkov, Denis S., Traytak, Sergey D.
Format:	Journal Article
Language:	English
Published:	Cambridge Elsevier Inc 15.02.2019 Elsevier Science Ltd Elsevier
Subjects:	Approximation Basis functions Biological Physics Boundary conditions Boundary value problem Boundary value problems Chemical Physics Computational fluid dynamics Computational Physics Condensed Matter Diffusion rate Diffusion–reaction Dirichlet problem Domains Electrostatics Fluid flow Green function Green's functions Harmonics Heat sinks Hydrodynamics Laplace operator Linear algebra Mathematical Physics Numerical analysis Operators (mathematics) Organic chemistry Physics Semi-analytical solution Spherical coordinates Statistical Mechanics Laplace operator Semi-analytical solution Boundary value problem Diffusion–reaction Green function diffusion-reaction boundary value problem semi-analytical solution
ISSN:	0021-9991, 1090-2716
Online Access:	Get full text
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