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  • Algorithm 432
  • Referenced in 241 articles [sw25817]
  • direct solution of discrete Poisson equations [W. G. Bickley and J. McNamee, Philos. Trans...

  • ISOGAT
  • Referenced in 286 articles [sw00457]
  • solving elliptic diffusion-type problems, including Poisson’s equation on single patch geometries, is presented...

  • GENSMAC
  • Referenced in 60 articles [sw07093]
  • 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...

  • APBS
  • Referenced in 88 articles [sw05766]
  • numerical solution of the Poisson-Boltzmann 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 Poisson-Boltzmann equation. The method employs a well-conditioned ... surface is triangulated and the integral equations are discretized by centroid collocation. The linear system ... results for the Poisson-Boltzmann 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 22 articles [sw08683]
  • numerical solution of the Poisson equation in 2D. The library was designed to serve several...

  • LFA
  • Referenced in 52 articles [sw19092]
  • multigrid methods for systems of partial differential equations. The local Fourier analysis can be obtained ... three-dimensioal problems, including Poisson, convection diffusion, biharmonic equation, the Oseen and Stokes equations...

  • CRACK
  • Referenced in 57 articles [sw07754]
  • polynomial vector evolution equations, quadratic Hamiltonians with an e(3) Lie-Poisson 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 17 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...

  • MRAG-I2D
  • Referenced in 9 articles [sw18266]
  • stepping. The multiresolution solver of the Poisson equation relies on the development of a novel...

  • PEGASE
  • Referenced in 7 articles [sw00697]
  • solution of the unsteady incompressible Navier-Stokes equation. Using velocity-pressure variables ... resolution of a pressure Poisson equation. Two- and three-dimensional 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...

  • GePUP
  • Referenced in 7 articles [sw15834]
  • order solutions of the incompressible Navier-Stokes equations with no-slip boundary conditions. A generic ... incompressibility constraint enforced by a pressure Poisson equation so that the dissipation of velocity divergence...

  • AFMPB
  • Referenced in 8 articles [sw08875]
  • described an adaptive fast multipole Poisson-Boltzmann solver for computing the electrostatics in biomolecules. This ... boundary integral equation of the linearized Poisson-Boltzmann equation. Numerical experiments show the efficiency...

  • HOLOMAC
  • Referenced in 6 articles [sw18067]
  • spectral accuracy. The temporal integration of the equations relies on an operating-split strategy, where ... employed to solve a variable-coefficient Poisson equation. The numerical implementation takes advantage...