Semi-analytical computation of Laplacian Green functions in three-dimensional domains with disconnected spherical boundaries
From MaRDI portal
Publication:2169500
DOI10.1016/j.jcp.2018.10.033OpenAlexW2785771526WikidataQ129009542 ScholiaQ129009542MaRDI QIDQ2169500
Sergey D. Traytak, Denis S. Grebenkov
Publication date: 2 September 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.03312
Numerical methods for partial differential equations, boundary value problems (65Nxx) General topics in optics and electromagnetic theory (78Axx) Elliptic equations and elliptic systems (35Jxx)
Related Items
Representation of the Green's function of the Dirichlet problem for the polyharmonic equation in the ball ⋮ A physicist’s guide to explicit summation formulas involving zeros of Bessel functions and related spectral sums
Cites Work
- Green's functions. Construction and applications
- An efficient and highly accurate solver for multi-body acoustic scattering problems involving rotationally symmetric scatterers
- A kernel-independent adaptive fast multipole algorithm in two and three dimensions
- A spectral approach to survival probabilities in porous media
- Homogenization of partial differential equations. Translated from the original Russian by M. Goncharenko and D. Shepelsky
- Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke
- The method of reflections, homogenization and screening for Poisson and Stokes equations in perforated domains
- Modeling oxygen transport in human placental terminal villi
- Derivation of Green's function using addition theorem
- The fast multipole method: Numerical implementation
- On the method of reflections
- A numerical study of super-resolution through fast 3D wideband algorithm for scattering in highly-heterogeneous media
- A wideband fast multipole method for the Helmholtz equation in three dimensions
- Green’s Function Problem of Laplace Equation with Spherical and Prolate Spheroidal Boundaries by Using the Null-Field Boundary Integral Equation
- Lattice Sums for the Helmholtz Equation
- Functional Analysis for Helmholtz Equation in the Framework of Domain Decomposition
- Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations
- New Formulation of Acoustic Scattering
- Brownian Motion
- Random heterogeneous materials. Microstructure and macroscopic properties
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item