Tensorial basis spline collocation method for Poisson's equation

DOI10.1006/jcph.1999.6338zbMath0946.65117OpenAlexW2064917845MaRDI QIDQ1971411

Jean-Yves Berthou, Laurent Plagne

Publication date: 10 October 2000

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

Full work available at URL: https://doi.org/10.1006/jcph.1999.6338

zbMATH Keywords

convergencenumerical experimentsparallel computationtensor product splinescollocationdirect methodPoisson equationsVlasov equationiterative fast Fourier transform based methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Complexity and performance of numerical algorithms (65Y20)

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Efficient three-dimensional Poisson solvers in open rectangular conducting pipe, Matrix decomposition algorithms for elliptic boundary value problems: A survey, A fast parallel 3D Poisson solver with longitudinal periodic and transverse open boundary conditions for space-charge simulations, Orthogonal spline collocation methods for partial differential equations, A simple spectral algorithm for solving large-scale Poisson equation in 2D, Three-dimensional Poisson solver for a charged beam with large aspect ratio in a conducting pipe, A parallel 3D Poisson solver for space charge simulation in cylindrical coordinates, Parallel 3D Poisson solver for a charged beam in a conducting pipe, B-spline Methods in Fluid Dynamics

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