
Algorithm 432
 Referenced in 245 articles
[sw25817]
 direct solution of discrete Poisson equations [W. G. Bickley and J. McNamee, Philos. Trans...

ISOGAT
 Referenced in 300 articles
[sw00457]
 solving elliptic diffusiontype problems, including Poisson’s equation on single patch geometries, is presented...

GENSMAC
 Referenced in 60 articles
[sw07093]
 GENSMAC, the full NavierStokes equations are solved by a finite difference method; the fluid ... employed for solving the discrete Poisson equation arising from a velocity update; and an automatic...

APBS
 Referenced in 88 articles
[sw05766]
 numerical solution of the PoissonBoltzmann equation (PBE), one of the most popular continuum models...

MIBPB
 Referenced in 51 articles
[sw08106]
 software package for electrostatic analysis. The Poisson–Boltzmann equation (PBE) is an established model...

TABI
 Referenced in 22 articles
[sw18194]
 solvated biomolecules described by the linear PoissonBoltzmann equation. The method employs a wellconditioned ... surface is triangulated and the integral equations are discretized by centroid collocation. The linear system ... results for the PoissonBoltzmann and Poisson equations. We show that the treecode approximation error...

SPHEREPACK
 Referenced in 26 articles
[sw04874]
 solve the scalar and vector Poisson equations. The package also contains routines for computing...

FREEFLOW
 Referenced in 23 articles
[sw04253]
 With the parallelisation in mind the momentum equations are solved explicitly, but an automatic step ... used to invert the discrete Poisson equation. An accurate approximation to the stress conditions...

HILBERT
 Referenced in 23 articles
[sw08683]
 numerical solution of the Poisson equation in 2D. The library was designed to serve several...

LFA
 Referenced in 54 articles
[sw19092]
 multigrid methods for systems of partial differential equations. The local Fourier analysis can be obtained ... threedimensioal problems, including Poisson, convection diffusion, biharmonic equation, the Oseen and Stokes equations...

CRACK
 Referenced in 58 articles
[sw07754]
 polynomial vector evolution equations, quadratic Hamiltonians with an e(3) LiePoisson structure and nonlocal...

GENSMAC3D
 Referenced in 19 articles
[sw20610]
 GENSMAC, the full Navier–Stokes equations are solved by a finite difference method; the fluid ... employed for solving the discrete Poisson equation arising from a velocity update; and an automatic...

TMSmesh
 Referenced in 19 articles
[sw14719]
 surface points by solving a nonlinear equation directly, polygonizes by connecting surface points through ... boundary element solutions of the Poisson−Boltzmann equation, which directly gives rise to a route...

POT4A
 Referenced in 9 articles
[sw01206]
 program for the direct solution of Poisson’s equation in complex geometries. The program solves ... Poisson’s equation in a rectangular region. Electrodes and dielectric interfaces can be included anywhere...

MRAGI2D
 Referenced in 9 articles
[sw18266]
 stepping. The multiresolution solver of the Poisson equation relies on the development of a novel...

GePUP
 Referenced in 8 articles
[sw15834]
 order solutions of the incompressible NavierStokes equations with noslip boundary conditions. A generic ... incompressibility constraint enforced by a pressure Poisson equation so that the dissipation of velocity divergence...

AFMPB
 Referenced in 9 articles
[sw08875]
 described an adaptive fast multipole PoissonBoltzmann solver for computing the electrostatics in biomolecules. This ... boundary integral equation of the linearized PoissonBoltzmann equation. Numerical experiments show the efficiency...

PEGASE
 Referenced in 7 articles
[sw00697]
 solution of the unsteady incompressible NavierStokes equation. Using velocitypressure variables ... resolution of a pressure Poisson equation. Two and threedimensional unsteady separated flows with open...

ORESD
 Referenced in 7 articles
[sw04966]
 then applied to the gas dynamics equations. Two benchmarks are used to test the performance ... ORESD is applied to the 2D Poisson equation on a uniform...

HOLOMAC
 Referenced in 7 articles
[sw18067]
 spectral accuracy. The temporal integration of the equations relies on an operatingsplit strategy, where ... employed to solve a variablecoefficient Poisson equation. The numerical implementation takes advantage...