A locally second order symmetric method for discontinuous solution of Poisson's equation on uniform cartesian grids

Computers & Fluids ◽

10.1016/j.compfluid.2019.104397 ◽

2020 ◽

Vol 198 ◽

pp. 104397

Author(s):

Zhipeng Qin ◽

Amir Riaz ◽

Elias Balaras

Keyword(s):

Discontinuous Solution ◽

Second Order ◽

Poisson’S Equation ◽

Cartesian Grids ◽

Poisson's Equation ◽

Symmetric Method

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A Second-Order Cell Method for Poisson's Equation

IEEE Transactions on Magnetics ◽

10.1109/tmag.2010.2092419 ◽

2011 ◽

Vol 47 (5) ◽

pp. 1430-1433 ◽

Author(s):

Piergiorgio Alotto ◽

Fabio Freschi

Keyword(s):

Second Order ◽

Poisson’S Equation ◽

Poisson's Equation ◽

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Algebraic Second Order Hodge Operator for Poisson's Equation

IEEE Transactions on Magnetics ◽

10.1109/tmag.2013.2241406 ◽

2013 ◽

Vol 49 (5) ◽

pp. 1761-1764 ◽

Author(s):

Piergiorgio Alotto ◽

Fabio Freschi ◽

Maurizio Repetto

Keyword(s):

Second Order ◽

Poisson’S Equation ◽

Poisson's Equation ◽

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$L^2$-Integrability of Second Order Derivatives for Poisson's Equation in Nonsmooth Domains.

MATHEMATICA SCANDINAVICA ◽

10.7146/math.scand.a-12391 ◽

1992 ◽

Vol 70 ◽

pp. 146 ◽

Author(s):

Vilhelm Adolfsson

Keyword(s):

Second Order ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Nonsmooth Domains

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A Second order Cell Method for Poisson's equation

Digests of the 2010 14th Biennial IEEE Conference on Electromagnetic Field Computation ◽

10.1109/cefc.2010.5481645 ◽

2010 ◽

Author(s):

P. Alotto ◽

F. Freschi

Keyword(s):

Second Order ◽

Poisson’S Equation ◽

Poisson's Equation ◽

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A second-order sparse factorization method for Poisson's equation with mixed boundary conditions

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(92)90011-l ◽

1992 ◽

Vol 44 (2) ◽

pp. 201-218

Author(s):

Werner Liniger ◽

Farouk Odeh ◽

Veikko Hara

Keyword(s):

Boundary Conditions ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Factorization Method ◽

Second Order ◽

Poisson’S Equation ◽

Poisson's Equation

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FFT-Based High Order Central Difference Schemes for Poisson’s Equation with Staggered Boundaries

Journal of Scientific Computing ◽

10.1007/s10915-020-01379-7 ◽

2021 ◽

Vol 86 (1) ◽

Author(s):

Hongsong Feng ◽

Guangqing Long ◽

Shan Zhao

Keyword(s):

Difference Schemes ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Central Difference

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Extremal Rearrangement Problems Involving Poisson’s Equation with Robin Boundary Conditions

Journal of Scientific Computing ◽

10.1007/s10915-021-01413-2 ◽

2021 ◽

Vol 86 (3) ◽

Author(s):

Chiu-Yen Kao ◽

Seyyed Abbas Mohammadi

Keyword(s):

Boundary Conditions ◽

Poisson’S Equation ◽

Robin Boundary Conditions ◽

Poisson's Equation ◽

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Discretization of Poisson’s equation in two domains with non algebraic interface conditions for plasma simulations

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126179 ◽

2021 ◽

Vol 403 ◽

pp. 126179

Author(s):

Andrea Villa ◽

Luca Barbieri ◽

Roberto Malgesini ◽

Giacomo Buccella

Keyword(s):

Poisson’S Equation ◽

Interface Conditions ◽

Poisson's Equation ◽

Plasma Simulations

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Convergence and Superconvergence of the Local Discontinuous Galerkin Method for Semilinear Second-Order Elliptic Problems on Cartesian Grids

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-021-00123-8 ◽

2021 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

Cartesian Grids ◽

Local Discontinuous Galerkin ◽

Convergence And Superconvergence ◽

Second Order Elliptic Problems

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BEM solution of Poisson's equation in two dimensions with polynomial interpolation of the source function

Engineering Analysis with Boundary Elements ◽

10.1016/s0955-7997(96)00043-4 ◽

1996 ◽

Vol 18 (2) ◽

pp. 175-178 ◽

Author(s):

Gilbert De Mey ◽

Radu Suciu ◽

Cǎlin Munteanu ◽

Lieven Matthys

Keyword(s):

Source Function ◽

Polynomial Interpolation ◽

Two Dimensions ◽

Poisson’S Equation ◽

Poisson's Equation

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