Nonoverlapping Domain Decomposition Preconditioners for Discontinuous Galerkin Approximations of Hamilton–Jacobi–Bellman Equations

Iain Smears

doi:10.1007/s10915-017-0428-5

Nonoverlapping Domain Decomposition Preconditioners for Discontinuous Galerkin Approximations of Hamilton–Jacobi–Bellman Equations

Journal of Scientific Computing ◽

10.1007/s10915-017-0428-5 ◽

2017 ◽

Vol 74 (1) ◽

pp. 145-174 ◽

Cited By ~ 5

Author(s):

Iain Smears

Keyword(s):

Domain Decomposition ◽

Discontinuous Galerkin ◽

Nonoverlapping Domain ◽

Bellman Equations ◽

Galerkin Approximations ◽

Nonoverlapping Domain Decomposition ◽

Hamilton Jacobi Bellman

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A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems

Mathematics of Computation ◽

10.1090/s0025-5718-04-01652-7 ◽

2004 ◽

Vol 74 (249) ◽

pp. 53-85 ◽

Cited By ~ 98

Author(s):

Vivette Girault ◽

Béatrice Rivière ◽

Mary F. Wheeler

Keyword(s):

Domain Decomposition ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Navier Stokes ◽

Nonoverlapping Domain ◽

Stokes Problems ◽

Nonoverlapping Domain Decomposition

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Nonoverlapping domain decomposition method with preconditioner from asymptotic analysis of steady flow in high contrast media

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1870681 ◽

2020 ◽

pp. 1-18

Author(s):

Liliana Borcea ◽

Beatrice Riviere ◽

Yingpei Wang

Keyword(s):

Asymptotic Analysis ◽

Contrast Media ◽

Domain Decomposition ◽

Steady Flow ◽

Decomposition Method ◽

Domain Decomposition Method ◽

High Contrast ◽

Nonoverlapping Domain ◽

Nonoverlapping Domain Decomposition

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A Nonoverlapping Domain Decomposition for Optimal Boundary Control of the Dynamic Maxwell System

Control Of Nonlinear Distributed Parameter Systems ◽

10.1201/9780203904190.ch8 ◽

2001 ◽

Cited By ~ 2

Author(s):

J Lagnese

Keyword(s):

Domain Decomposition ◽

Boundary Control ◽

Maxwell System ◽

Nonoverlapping Domain ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Nonoverlapping Domain Decomposition

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On the Relationship between Overlapping and Nonoverlapping Domain Decomposition Methods

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/0613041 ◽

1992 ◽

Vol 13 (2) ◽

pp. 663-670 ◽

Cited By ~ 16

Author(s):

Tony F. Chan ◽

Danny Goovaerts

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Nonoverlapping Domain ◽

Nonoverlapping Domain Decomposition ◽

The Relationship

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Coupling parallel adaptive mesh refinement with a nonoverlapping domain decomposition solver

Advances in Engineering Software ◽

10.1016/j.advengsoft.2017.03.012 ◽

2017 ◽

Vol 110 ◽

pp. 34-54 ◽

Cited By ~ 4

Author(s):

Pavel Kůs ◽

Jakub Šístek

Keyword(s):

Domain Decomposition ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Nonoverlapping Domain ◽

Nonoverlapping Domain Decomposition

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Generalization of Lions' Nonoverlapping Domain Decomposition Method for Contact Problems

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

10.1007/978-3-540-75199-1_78 ◽

2008 ◽

pp. 623-630 ◽

Cited By ~ 5

Author(s):

Taoufik Sassi ◽

Mohamed Ipopa ◽

François Xavier Roux

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Contact Problems ◽

Nonoverlapping Domain ◽

Nonoverlapping Domain Decomposition

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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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NUMERICAL EXPERIMENTS FOR A NONOVERLAPPING DOMAIN DECOMPOSITION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS

Numerical Analysis ◽

10.1142/9789812812872_0007 ◽

1996 ◽

pp. 85-97 ◽

Cited By ~ 1

Author(s):

JIM DOUGLAS ◽

DAOQI YANG

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Numerical Experiments ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Nonoverlapping Domain ◽

Partial Differential ◽

Nonoverlapping Domain Decomposition

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Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions

Mathematics of Computation ◽

10.1090/s0025-5718-00-01236-9 ◽

2000 ◽

Vol 69 (232) ◽

pp. 1319-1340 ◽

Cited By ~ 7

Author(s):

Susanne C. Brenner ◽

Li-Yeng Sung

Keyword(s):

Domain Decomposition ◽

Lower Bounds ◽

Two Dimensions ◽

Nonoverlapping Domain ◽

Nonoverlapping Domain Decomposition

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Nonoverlapping domain decomposition characteristic finite differences for three-dimensional convection-diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20605 ◽

2010 ◽

Vol 28 (1) ◽

pp. 17-37 ◽

Cited By ~ 9

Author(s):

Changfeng Li ◽

Yirang Yuan

Keyword(s):

Domain Decomposition ◽

Finite Differences ◽

Three Dimensional ◽

Diffusion Equations ◽

Nonoverlapping Domain ◽

Convection Diffusion ◽

Nonoverlapping Domain Decomposition

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