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

Caroline Lasser; Andrea Toselli

doi:10.1090/s0025-5718-03-01484-4

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 ◽

Cited By ~ 37

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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Domain Decomposition Preconditioning for Discontinuous Galerkin Approximations of Convection-Diffusion Problems

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XVIII ◽

10.1007/978-3-642-02677-5_28 ◽

2009 ◽

pp. 259-266 ◽

Cited By ~ 2

Author(s):

Paola F. Antonietti ◽

Endre Süli

Keyword(s):

Domain Decomposition ◽

Discontinuous Galerkin ◽

Convection Diffusion ◽

Galerkin Approximations ◽

Diffusion Problems

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Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2007006 ◽

2007 ◽

Vol 41 (1) ◽

pp. 21-54 ◽

Cited By ~ 47

Author(s):

Paola F. Antonietti ◽

Blanca Ayuso

Keyword(s):

Domain Decomposition ◽

Discontinuous Galerkin ◽

Elliptic Problems ◽

Galerkin Approximations

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Ana posteriorierror bound for discontinuous Galerkin approximations of convection–diffusion problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drx065 ◽

2017 ◽

Vol 39 (1) ◽

pp. 34-60

Author(s):

Emmanuil H Georgoulis ◽

Edward Hall ◽

Charalambos Makridakis

Keyword(s):

Discontinuous Galerkin ◽

Convection Diffusion ◽

Galerkin Approximations ◽

Diffusion Problems

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An iteration-by-subdomain overlapping Dirichlet/Robin domain decomposition method for advection–diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(03)00447-3 ◽

2003 ◽

Vol 158 (2) ◽

pp. 243-276 ◽

Cited By ~ 15

Author(s):

Guillaume Houzeaux ◽

Ramon Codina

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Advection Diffusion ◽

Diffusion Problems

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A balancing domain decomposition method by constraints for advection-diffusion problems

Communications in Applied Mathematics and Computational Science ◽

10.2140/camcos.2008.3.25 ◽

2008 ◽

Vol 3 (1) ◽

pp. 25-60 ◽

Cited By ~ 19

Author(s):

Xuemin Tu ◽

Jing Li

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Advection Diffusion ◽

Balancing Domain Decomposition ◽

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 ◽

Cited By ~ 10

Author(s):

S. Brogniez ◽

C. Farhat ◽

E. Hachem

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Lagrange Multipliers ◽

High Order ◽

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 ◽

Cited By ~ 44

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 ◽

Space Time ◽

Time Dependent ◽

Advection Diffusion ◽

Diffusion Problems

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A multi-timestep Robin–Robin domain decomposition method for time dependent advection-diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124596 ◽

2019 ◽

Vol 363 ◽

pp. 124596

Author(s):

Claudio Canuto ◽

Andrea Lo Giudice

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Time Dependent ◽

Advection Diffusion ◽

Diffusion Problems

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FETI domain decomposition methods for scalar advection–diffusion problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(01)00195-5 ◽

2001 ◽

Vol 190 (43-44) ◽

pp. 5759-5776 ◽

Cited By ~ 15

Author(s):

Andrea Toselli

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Advection Diffusion ◽

Diffusion Problems

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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 ◽

Cited By ~ 12

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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