Computation of volume potentials on structured grids with the method of local corrections

zbMath1407.65250arXiv1702.08111MaRDI QIDQ1756155

Phillip Colella, Chris Kavouklis

Publication date: 14 January 2019

Published in: Communications in Applied Mathematics and Computational Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.08111

zbMATH Keywords

domain decompositionparallel solversPoisson solvermethod of local correctionsMehrstellen stencils

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06)

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Cites Work

• A parallel fast multipole method for elliptic difference equations
• A free-space adaptive FMM-based PDE solver in three dimensions
• A finite difference domain decomposition method using local corrections for the solution of Poisson's equation
• A method of local corrections for computing the velocity field due to a distribution of vortex blobs
• The solution of Poisson's equation for isolated source distributions
• Remarks on the solution of Poisson's equation for isolated systems
• A fast adaptive vortex method in three dimensions
• Fast convolution with free-space Green's functions
• A local corrections algorithm for solving Poisson's equation in three dimensions
• FFT, FMM, or Multigrid? A comparative Study of State-Of-the-Art Poisson Solvers for Uniform and Nonuniform Grids in the Unit Cube
• Fast Fourier Methods in Computational Complex Analysis
• A Fast Adaptive Multipole Algorithm for Particle Simulations
• Fast High Order Accurate Solution of Laplace’s Equation on Irregular Regions
• Algorithm 967
• PVFMM: A Parallel Kernel Independent FMM for Particle and Volume Potentials
• A fast algorithm for particle simulations

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