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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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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An a priori error estimate for the local discontinuous Galerkin method applied to two-dimensional shallow water and morphodynamic flow

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21914 ◽

2014 ◽

Vol 31 (2) ◽

pp. 397-421 ◽

Author(s):

Chris Mirabito ◽

Clint Dawson ◽

Vadym Aizinger

Keyword(s):

Error Estimate ◽

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

Local Discontinuous Galerkin Method ◽

Two Dimensional ◽

A Priori Error Estimate ◽

Local Discontinuous Galerkin

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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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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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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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Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems

Mathematics of Computation ◽

10.1090/s0025-5718-01-01317-5 ◽

2001 ◽

Vol 71 (238) ◽

pp. 455-479 ◽

Author(s):

Paul Castillo ◽

Bernardo Cockburn ◽

Dominik Schötzau ◽

Christoph Schwab

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

Local Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Priori Error Estimates ◽

Diffusion Problems

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The Local Discontinuous Galerkin Method for the Fourth-Order Euler–Bernoulli Partial Differential Equation in One Space Dimension. Part I: Superconvergence Error Analysis

Journal of Scientific Computing ◽

10.1007/s10915-013-9782-0 ◽

2013 ◽

Vol 59 (3) ◽

pp. 795-840 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fourth Order ◽

Space Dimension ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin

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Error analysis of the semi-discrete local discontinuous Galerkin method for semiconductor device simulation models

Science China Mathematics ◽

10.1007/s11425-010-4075-7 ◽

2010 ◽

Vol 53 (12) ◽

pp. 3255-3278 ◽

Author(s):

YunXian Liu ◽

Chi-Wang Shu

Keyword(s):

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Semiconductor Device ◽

Device Simulation ◽

Simulation Models ◽

Local Discontinuous Galerkin Method ◽

Semiconductor Device Simulation ◽

Local Discontinuous Galerkin

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A priori error estimates of a combined mixed finite element and local discontinuous Galerkin method for an incompressible miscible displacement problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.12.022 ◽

2018 ◽

Vol 334 ◽

pp. 141-151 ◽

Author(s):

Jiming Yang ◽

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Finite Element ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Mixed Finite Element ◽

A Priori ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin ◽

Priori Error Estimates ◽

Incompressible Miscible Displacement Problem

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A priori Error Analysis of a Discontinuous Galerkin Method for Cahn–Hilliard–Navier–Stokes Equations

CSIAM Transactions on Applied Mathematics ◽

10.4208/csiam-am.2020-0005 ◽

2020 ◽

Vol 1 (1) ◽

pp. 104-141

Author(s):

Chen Liu & Béatrice Rivière sci

Keyword(s):

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

A Priori ◽

Navier Stokes ◽

Navier Stokes Equations ◽

A Priori Error Analysis

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