Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900371544 ◽

2001 ◽

Vol 39 (1) ◽

pp. 264-285 ◽

Author(s):

Bernardo Cockburn ◽

Guido Kanschat ◽

Ilaria Perugia ◽

Dominik Schötzau

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Cartesian Grids ◽

Local Discontinuous Galerkin

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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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Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems

Journal of Numerical Mathematics ◽

10.1515/jnum.2011.008 ◽

2011 ◽

Vol 19 (3) ◽

Author(s):

A. T. Barker ◽

S. C. Brenner ◽

L.-Y. Sung

Keyword(s):

Domain Decomposition ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin ◽

Overlapping Schwarz

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Optimal error estimates of the local discontinuous Galerkin method for nonlinear second‐order elliptic problems on Cartesian grids

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22538 ◽

2020 ◽

Vol 37 (1) ◽

pp. 505-532

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Optimal Error Estimates ◽

Cartesian Grids ◽

Optimal Error ◽

Local Discontinuous Galerkin ◽

Second Order Elliptic Problems

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A Superconvergent Local Discontinuous Galerkin Method for Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-011-9537-8 ◽

2011 ◽

Vol 52 (1) ◽

pp. 113-152 ◽

Author(s):

Slimane Adjerid ◽

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin

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A superconvergent local discontinuous Galerkin method for the second-order wave equation on Cartesian grids

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.08.023 ◽

2014 ◽

Vol 68 (10) ◽

pp. 1250-1278 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

Cartesian Grids ◽

Local Discontinuous Galerkin ◽

Second Order Wave Equation

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Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation on Cartesian grids

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.11.007 ◽

2017 ◽

Vol 113 ◽

pp. 124-155 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Gordon Equation ◽

Local Discontinuous Galerkin Method ◽

Cartesian Grids ◽

Sine Gordon Equation ◽

Local Discontinuous Galerkin

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An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900371003 ◽

2000 ◽

Vol 38 (5) ◽

pp. 1676-1706 ◽

Author(s):

Paul Castillo ◽

Bernardo Cockburn ◽

Ilaria Perugia ◽

Dominik Schötzau

Keyword(s):

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin ◽

A Priori Error Analysis

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Solving a non-linear fractional convection-diffusion equation using local discontinuous Galerkin method

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.003 ◽

2021 ◽

Vol 165 ◽

pp. 22-34

Author(s):

Hamid Safdari ◽

Majid Rajabzadeh ◽

Moein Khalighi

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Local Discontinuous Galerkin ◽

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Local discontinuous Galerkin method for distributed‐order time‐fractional diffusion‐wave equation: Application of Laplace transform

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7077 ◽

2020 ◽

Author(s):

Hadi Mohammadi‐Firouzjaei ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Wave Equation ◽

Laplace Transform ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Local Discontinuous Galerkin ◽

Distributed Order

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A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher's equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.866233 ◽

2014 ◽

Vol 91 (9) ◽

pp. 2021-2038 ◽

Author(s):

Xindong Zhang ◽

Yinnian He ◽

Leilei Wei ◽

Bo Tang ◽

Shaoli Wang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

One Dimensional ◽

Fisher’S Equation ◽

Fully Discrete ◽

Local Discontinuous Galerkin ◽

Fisher's Equation

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