Robust smoothers for high-order discontinuous Galerkin discretizations of advection–diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.04.032 ◽

2008 ◽

Vol 218 (1) ◽

pp. 53-60 ◽

Author(s):

Guido Kanschat

Keyword(s):

Discontinuous Galerkin ◽

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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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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A high‐order parallel Eulerian‐Lagrangian algorithm for advection‐diffusion problems on unstructured meshes

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4756 ◽

2019 ◽

Vol 91 (7) ◽

pp. 332-347 ◽

Author(s):

Maurizio Tavelli ◽

Walter Boscheri

Keyword(s):

Unstructured Meshes ◽

Advection Diffusion ◽

Order Parallel ◽

Diffusion Problems

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High-order residual-based compact schemes for advection–diffusion problems

Computers & Fluids ◽

10.1016/j.compfluid.2007.07.009 ◽

2008 ◽

Vol 37 (5) ◽

pp. 505-519 ◽

Author(s):

Christophe Corre ◽

Alain Lerat

Keyword(s):

Compact Schemes ◽

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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Efficient high-order discontinuous Galerkin schemes with first-order hyperbolic advection–diffusion system approach

Journal of Computational Physics ◽

10.1016/j.jcp.2016.06.006 ◽

2016 ◽

Vol 321 ◽

pp. 729-754 ◽

Author(s):

Alireza Mazaheri ◽

Hiroaki Nishikawa

Keyword(s):

Discontinuous Galerkin ◽

System Approach ◽

Diffusion System ◽

First Order ◽

Advection Diffusion

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Discontinuous Galerkin finite element heterogeneous multiscale method for advection–diffusion problems with multiple scales

Numerische Mathematik ◽

10.1007/s00211-013-0578-9 ◽

2013 ◽

Vol 126 (4) ◽

pp. 589-633 ◽

Author(s):

A. Abdulle ◽

M. E. Huber

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Multiple Scales ◽

Multiscale Method ◽

Galerkin Finite Element ◽

Advection Diffusion ◽

Discontinuous Galerkin Finite Element ◽

Heterogeneous Multiscale ◽

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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Very efficient high-order hyperbolic schemes for time-dependent advection–diffusion problems: Third-, fourth-, and sixth-order

Computers & Fluids ◽

10.1016/j.compfluid.2014.06.020 ◽

2014 ◽

Vol 102 ◽

pp. 131-147 ◽

Author(s):

Alireza Mazaheri ◽

Hiroaki Nishikawa

Keyword(s):

Sixth Order ◽

Time Dependent ◽

Advection Diffusion ◽

Diffusion Problems

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An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems

Mathematics of Computation ◽

10.1090/s0025-5718-03-01484-4 ◽

2003 ◽

Vol 72 (243) ◽

pp. 1215-1239 ◽

Author(s):

Caroline Lasser ◽

Andrea Toselli

Keyword(s):

Domain Decomposition ◽

Discontinuous Galerkin ◽

Advection Diffusion ◽

Galerkin Approximations ◽

Overlapping Domain Decomposition ◽

Diffusion Problems

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