A High-Order Fast Direct Solver for Singular Poisson Equations

Yu Zhuang; Xian-He Sun

doi:10.1006/jcph.2001.6771

A High-Order Fast Direct Solver for Singular Poisson Equations

Journal of Computational Physics ◽

10.1006/jcph.2001.6771 ◽

2001 ◽

Vol 171 (1) ◽

pp. 79-94 ◽

Cited By ~ 23

Author(s):

Yu Zhuang ◽

Xian-He Sun

Keyword(s):

High Order ◽

Direct Solver ◽

Poisson Equations ◽

Fast Direct Solver

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High-order accurate and high-speed calculation system of 1D Laplace and Poisson equations using the interpolation finite difference method

AIP Advances ◽

10.1063/1.5096395 ◽

2019 ◽

Vol 9 (5) ◽

pp. 055312 ◽

Cited By ~ 2

Author(s):

Tsugio Fukuchi

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

High Speed ◽

High Order ◽

Poisson Equations ◽

Calculation System

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A Fast Direct Solver for the Advection-Diffusion Equation Using Low-Rank Approximation of the Green’s Function

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016 ◽

10.1007/978-3-319-65870-4_30 ◽

2017 ◽

pp. 423-435

Author(s):

Jonathan R. Bull

Keyword(s):

Diffusion Equation ◽

Green’S Function ◽

Green's Function ◽

Low Rank ◽

Low Rank Approximation ◽

Direct Solver ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Fast Direct Solver ◽

Rank Approximation

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A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems

BIT Numerical Mathematics ◽

10.1007/s10543-020-00818-z ◽

2020 ◽

Author(s):

Yabin Zhang ◽

Adrianna Gillman

Keyword(s):

Two Dimensional ◽

Multilayered Media ◽

Scattering Problems ◽

Direct Solver ◽

Fast Direct Solver

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2008 A QR-based fast direct solver for BEM in Dirichlet-Neumann mixed boundary value problems in two-dimensional Laplace's equation

The Proceedings of The Computational Mechanics Conference ◽

10.1299/jsmecmd.2013.26._2008-1_ ◽

2013 ◽

Vol 2013.26 (0) ◽

pp. _2008-1_-_2008-3_

Author(s):

Hiroshi ISAKARI ◽

Togo MINE ◽

Toru TAKAHASHI ◽

Toshiro MATSUMOTO

Keyword(s):

Boundary Value Problems ◽

Mixed Boundary ◽

Boundary Value ◽

Two Dimensional ◽

Laplace’S Equation ◽

Mixed Boundary Value Problems ◽

Laplace's Equation ◽

Direct Solver ◽

Fast Direct Solver

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A fast direct solver for periodic scattering problems for the Helmholtz equation in 2D

The Proceedings of The Computational Mechanics Conference ◽

10.1299/jsmecmd.2014.27.307 ◽

2014 ◽

Vol 2014.27 (0) ◽

pp. 307-309

Author(s):

Yasuhiro MATSUMOTO ◽

Kazuki NIINO ◽

Naoshi NISHIMURA

Keyword(s):

Helmholtz Equation ◽

Scattering Problems ◽

Direct Solver ◽

Fast Direct Solver

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Fast Direct Solver for Essentially Convex Scatterers Using Multilevel Non-Uniform Grids

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2014.2327651 ◽

2014 ◽

Vol 62 (8) ◽

pp. 4314-4324 ◽

Cited By ~ 30

Author(s):

Yaniv Brick ◽

Vitaliy Lomakin ◽

Amir Boag

Keyword(s):

Direct Solver ◽

Uniform Grids ◽

Fast Direct Solver

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Fast direct solver for the biharmonic equation on a disk and its application to incompressible flows

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.04.064 ◽

2005 ◽

Vol 164 (3) ◽

pp. 679-695 ◽

Cited By ~ 11

Author(s):

Ming-Chih Lai ◽

Hsi-Chi Liu

Keyword(s):

Biharmonic Equation ◽

Incompressible Flows ◽

Direct Solver ◽

Fast Direct Solver

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High-Order Accurate and High-Speed Calculation System of 1D Laplace and Poisson Equations Using the Interpolation Finite Difference Method

Prime Archives in Physical Sciences ◽

10.37247/paphys.1.2020.7 ◽

2020 ◽

Author(s):

Tsugio Fukuchi

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

High Speed ◽

High Order ◽

Poisson Equations ◽

Calculation System

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A fast direct solver for periodic transmission problems using multi-trace boundary integral method

The Proceedings of The Computational Mechanics Conference ◽

10.1299/jsmecmd.2018.31.123 ◽

2018 ◽

Vol 2018.31 (0) ◽

pp. 123

Author(s):

Naoshi Nishimura ◽

Yasuhiro Matsumoto

Keyword(s):

Integral Method ◽

Boundary Integral ◽

Boundary Integral Method ◽

Direct Solver ◽

Transmission Problems ◽

Fast Direct Solver ◽

Periodic Transmission

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A fast direct solver for the integral equations of scattering theory on planar curves with corners

Journal of Computational Physics ◽

10.1016/j.jcp.2011.11.015 ◽

2012 ◽

Vol 231 (4) ◽

pp. 1879-1899 ◽

Cited By ~ 38

Author(s):

James Bremer

Keyword(s):

Integral Equations ◽

Scattering Theory ◽

Direct Solver ◽

Planar Curves ◽

Fast Direct Solver

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