Generalized HPC method for the Poisson equation

DOI10.1016/j.jcp.2015.07.026zbMath1351.76209OpenAlexW1012211770MaRDI QIDQ729294

Odd M. Faltinsen, A. Bardazzi, Claudio Lugni, Matteo Antuono, Giorgio Graziani

Publication date: 20 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.07.026

zbMATH Keywords

convergence analysiselliptic boundary value problemPoisson solverharmonic polynomial cell

Mathematics Subject Classification ID

Related Items (5)

Development and validation of a numerical wave tank based on the harmonic polynomial cell and immersed boundary methods to model nonlinear wave-structure interaction ⋮ An a posteriori-driven adaptive mixed high-order method with application to electrostatics ⋮ Distributed source scheme to solve the classical form of Poisson equation using 3-d finite-difference method for improved accuracy and unrestricted source position ⋮ Enhanced solution of 2D incompressible Navier-Stokes equations based on an immersed-boundary generalized harmonic polynomial cell method ⋮ Numerical analysis on the generation, propagation and interaction of solitary waves by a harmonic polynomial cell method

Uses Software

• UMFPACK

Cites Work

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• Analytically approximate natural sloshing modes and frequencies in two-dimensional tanks
• A harmonic polynomial cell (HPC) method for 3D Laplace equation with application in marine hydrodynamics
• Relations between FEM and FVM applied to the Poisson equation
• On the accuracy of finite-difference solutions for nonlinear water waves
• Computational Methods for Fluid Dynamics
• Algorithm 832
• Axial flow in trailing line vortices
• Numerical Solution of the Navier-Stokes Equations

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