A discontinuous Galerkin method with Lagrange multipliers for spatially-dependent advection–diffusion problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.08.024 ◽

2017 ◽

Vol 327 ◽

pp. 93-117 ◽

Author(s):

Raunak Borker ◽

Charbel Farhat ◽

Radek Tezaur

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Lagrange Multipliers ◽

Advection Diffusion ◽

Diffusion Problems

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A high-order discontinuous Galerkin method with Lagrange multipliers for advection–diffusion problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2013.05.003 ◽

2013 ◽

Vol 264 ◽

pp. 49-66 ◽

Author(s):

S. Brogniez ◽

C. Farhat ◽

E. Hachem

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Lagrange Multipliers ◽

Advection Diffusion ◽

Diffusion Problems

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Space–time discontinuous Galerkin method for advection–diffusion problems on time-dependent domains

Applied Numerical Mathematics ◽

10.1016/j.apnum.2005.11.003 ◽

2006 ◽

Vol 56 (12) ◽

pp. 1491-1518 ◽

Author(s):

J.J. Sudirham ◽

J.J.W. van der Vegt ◽

R.M.J. van Damme

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Dependent ◽

Advection Diffusion ◽

Diffusion Problems

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A Compact Discontinuous Galerkin Method for Advection-Diffusion Problems

2018 AIAA Aerospace Sciences Meeting ◽

10.2514/6.2018-1091 ◽

2018 ◽

Author(s):

Eric Johnsen ◽

Philip E. Johnson

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Advection Diffusion ◽

Diffusion Problems

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A high-order discontinuous Galerkin method for unsteady advection–diffusion problems

Journal of Computational Physics ◽

10.1016/j.jcp.2016.12.021 ◽

2017 ◽

Vol 332 ◽

pp. 520-537 ◽

Author(s):

Raunak Borker ◽

Charbel Farhat ◽

Radek Tezaur

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Advection Diffusion ◽

Diffusion Problems

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The direct discontinuous Galerkin method with symmetric structure for diffusion problems

10.31274/etd-180810-75 ◽

2012 ◽

Author(s):

Chad Nathaniel Vidden

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Symmetric Structure ◽

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 ◽

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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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 ◽

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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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 ◽

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 ◽

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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