Numerical Analysis of a Second order Pure Lagrange–Galerkin Method for Convection-Diffusion Problems. Part I: Time Discretization

Marta Benítez; Alfredo Bermúdez

doi:10.1137/100809982

Numerical Analysis of a Second order Pure Lagrange–Galerkin Method for Convection-Diffusion Problems. Part I: Time Discretization

SIAM Journal on Numerical Analysis ◽

10.1137/100809982 ◽

2012 ◽

Vol 50 (2) ◽

pp. 858-882 ◽

Cited By ~ 5

Author(s):

Marta Benítez ◽

Alfredo Bermúdez

Keyword(s):

Numerical Analysis ◽

Galerkin Method ◽

Time Discretization ◽

Second Order ◽

Convection Diffusion ◽

Diffusion Problems

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Numerical Analysis of a Second Order Pure Lagrange--Galerkin Method for Convection-Diffusion Problems. Part II: Fully Discretized Scheme and Numerical Results

SIAM Journal on Numerical Analysis ◽

10.1137/100809994 ◽

2012 ◽

Vol 50 (6) ◽

pp. 2824-2844 ◽

Cited By ~ 4

Author(s):

Marta Benítez ◽

Alfredo Bermúdez

Keyword(s):

Numerical Analysis ◽

Galerkin Method ◽

Second Order ◽

Numerical Results ◽

Convection Diffusion ◽

Diffusion Problems

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Numerical Analysis for Convection-Diffusion Problems using Element-Free Galerkin Method

The proceedings of the JSME annual meeting ◽

10.1299/jsmemecjo.2000.2.0_5 ◽

2000 ◽

Vol 2000.2 (0) ◽

pp. 5-6

Author(s):

Changcheng SHAO ◽

Yasuhiro MATSUDA ◽

Naoharu Hasagawa

Keyword(s):

Numerical Analysis ◽

Galerkin Method ◽

Element Free Galerkin Method ◽

Convection Diffusion ◽

Element Free Galerkin ◽

Element Free ◽

Diffusion Problems

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A robust discontinuous Galerkin method for solving convection-diffusion problems

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-008-8036-7 ◽

2008 ◽

Vol 24 (3) ◽

pp. 483-496 ◽

Cited By ~ 1

Author(s):

Zuo-zheng Zhang ◽

Zi-qing Xie ◽

Xia Tao

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Diffusion Problems

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A symmetric characteristic FVE method with second order accuracy for nonlinear convection diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.01.020 ◽

2007 ◽

Vol 200 (2) ◽

pp. 677-700 ◽

Cited By ~ 11

Author(s):

Min Yang ◽

Yirang Yuan

Keyword(s):

Second Order ◽

Order Accuracy ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Diffusion Problems

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Superconvergence of the local discontinuous Galerkin method for nonlinear convection-diffusion problems

Journal of Inequalities and Applications ◽

10.1186/s13660-017-1489-6 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Hui Bi ◽

Chengeng Qian

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Diffusion Problems

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Analysis of a Multiscale Discontinuous Galerkin Method for Convection‐Diffusion Problems

SIAM Journal on Numerical Analysis ◽

10.1137/050640382 ◽

2006 ◽

Vol 44 (4) ◽

pp. 1420-1440 ◽

Cited By ~ 50

Author(s):

A. Buffa ◽

T. J. R. Hughes ◽

G. Sangalli

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Diffusion Problems

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A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems

SIAM Journal on Numerical Analysis ◽

10.1137/040607071 ◽

2005 ◽

Vol 43 (5) ◽

pp. 2172-2199 ◽

Cited By ~ 64

Author(s):

Enrico Bertolazzi ◽

Gianmarco Manzini

Keyword(s):

Maximum Principle ◽

Finite Volume Method ◽

Finite Volume ◽

Second Order ◽

Convection Diffusion ◽

Volume Method ◽

Steady Convection ◽

Diffusion Problems

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Discontinuous Galerkin method for nonlinear convection-diffusion problems with mixed Dirichlet-Neumann boundary conditions

Applications of Mathematics ◽

10.1007/s10492-010-0012-x ◽

2010 ◽

Vol 55 (5) ◽

pp. 353-372 ◽

Cited By ~ 6

Author(s):

Oto Havle ◽

Vít Dolejší ◽

Miloslav Feistauer

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Diffusion Problems

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A priori error estimates of an extrapolated space-time discontinuous galerkin method for nonlinear convection-diffusion problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20591 ◽

2010 ◽

Vol 27 (6) ◽

pp. 1456-1482 ◽

Cited By ~ 12

Author(s):

M. Vlasák ◽

V. Dolejší ◽

J. Hájek

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

A Priori Error Estimates ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Priori Error Estimates ◽

Diffusion Problems

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A discontinuous Galerkin method for a hyperbolic model for convection–diffusion problems in CFD

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1996 ◽

2007 ◽

Vol 71 (11) ◽

pp. 1342-1364 ◽

Cited By ~ 21

Author(s):

H. Gómez ◽

I. Colominas ◽

F. Navarrina ◽

M. Casteleiro

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Model ◽

Convection Diffusion ◽

Diffusion Problems

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