A multiresolution method for solving the Poisson equation using high order regularization
DOI10.1016/j.jcp.2016.08.053zbMath1422.65293OpenAlexW2509053902MaRDI QIDQ1674660
Mads Mølholm Hejlesen, Jens Honoré Walther
Publication date: 26 October 2017
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2016.08.053
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Green's functions for elliptic equations (35J08) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)
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Cites Work
- Unnamed Item
- A high order solver for the unbounded Poisson equation
- A comparison of vortex and pseudo-spectral methods for the simulation of periodic vortical flows at high Reynolds numbers
- A multiresolution remeshed Vortex-In-Cell algorithm using patches
- On the accuracy of vortex methods
- Extrapolating B splines for interpolation
- High order accurate vortex methods with explicit velocity kernels
- Vortex methods for flow simulation
- Remarks on the solution of Poisson's equation for isolated systems
- Contributions to vortex particle methods for the computation of three- dimensional incompressible unsteady flows
- An influence matrix particle-particle particle-mesh algorithm with exact particle-particle correction.
- A Fourier-based elliptic solver for vortical flows with periodic and unbounded directions
- Efficiency of Multiscale Hybrid Grid-Particle Vortex Methods
- An approximate deconvolution procedure for large-eddy simulation
- A Fast Adaptive Multipole Algorithm for Particle Simulations
- Multilevel Adaptive Particle Methods for Convection-Diffusion Equations
- A Lagrangian Particle‐Wavelet Method