A source term method for Poisson problems on irregular domains

DOI10.1016/j.jcp.2018.01.038zbMath1422.65327OpenAlexW2793876194MaRDI QIDQ1637572

John D. Towers

Publication date: 8 June 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.01.038

zbMATH Keywords

Heaviside functionfinite differencePoisson problemirregular domainlevel set methodsdelta function

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (9)

A reconstruction-based Chebyshev-collocation method for the Poisson equation: an accurate treatment of the Gibbs-Wilbraham phenomenon on irregular interfaces ⋮ Regularization methods for the Poisson-Boltzmann equation: comparison and accuracy recovery ⋮ A FFT accelerated high order finite difference method for elliptic boundary value problems over irregular domains ⋮ A hybrid semi-Lagrangian cut cell method for advection-diffusion problems with Robin boundary conditions in moving domains ⋮ Methods for relativistic self-gravitating fluids: from binary neutron stars to black hole-disks and magnetized rotating neutron stars ⋮ A source term method for Poisson problems with a discontinuous diffusion coefficient ⋮ Rapid Evaluation of Newtonian Potentials on Planar Domains ⋮ Source term method for binary neutron stars initial data ⋮ A high-order embedded domain method combining a predictor-corrector-Fourier-continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains

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