hp
-Adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains

Stefano Giani; Paul Houston

doi:10.1002/num.21872

hp -Adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21872 ◽

2014 ◽

Vol 30 (4) ◽

pp. 1342-1367 ◽

Cited By ~ 15

Author(s):

Stefano Giani ◽

Paul Houston

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Galerkin Methods ◽

Adaptive Composite

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Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems

Computational Mathematics and Mathematical Physics ◽

10.1134/s096554251403004x ◽

2014 ◽

Vol 54 (3) ◽

pp. 474-490 ◽

Cited By ~ 5

Author(s):

R. Z. Dautov ◽

E. M. Fedotov

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Abstract Theory ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Methods ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic

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Pointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-06-01823-0 ◽

2006 ◽

Vol 75 (255) ◽

pp. 1067-1086 ◽

Cited By ~ 3

Author(s):

Johnny Guzmán

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Galerkin Methods ◽

Pointwise Error ◽

Pointwise Error Estimates

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On the design of discontinuous Galerkin methods for elliptic problems based on hybrid formulations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2013.05.004 ◽

2013 ◽

Vol 263 ◽

pp. 158-168 ◽

Cited By ~ 6

Author(s):

Ramon Codina ◽

Santiago Badia

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Galerkin Methods

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Pointwise Error Estimates of Discontinuous Galerkin Methods with Penalty for Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903421527 ◽

2004 ◽

Vol 42 (3) ◽

pp. 1146-1166 ◽

Cited By ~ 35

Author(s):

Zhangxin Chen ◽

Hongsen Chen

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Pointwise Error ◽

Pointwise Error Estimates ◽

Second Order Elliptic Problems

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hp-Adaptive composite discontinuous Galerkin methods for elliptic eigenvalue problems on complicated domains

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.01.031 ◽

2015 ◽

Vol 267 ◽

pp. 604-617 ◽

Cited By ~ 2

Author(s):

Stefano Giani

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Eigenvalue Problems ◽

Galerkin Methods ◽

Elliptic Eigenvalue Problems ◽

Adaptive Composite

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Local error estimates of mixed discontinuous Galerkin methods for elliptic problems

Journal of Numerical Mathematics ◽

10.1515/1569395041172926 ◽

2004 ◽

Vol 12 (1) ◽

pp. 1-21 ◽

Cited By ~ 1

Author(s):

H. Chen

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Local Error ◽

Galerkin Methods

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Symmetric Interior Penalty Discontinuous Galerkin Methods for Elliptic Problems in Polygons

SIAM Journal on Numerical Analysis ◽

10.1137/17m1120634 ◽

2017 ◽

Vol 55 (5) ◽

pp. 2490-2521 ◽

Cited By ~ 3

Author(s):

Fabian Müller ◽

Dominik Schötzau ◽

Christoph Schwab

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Galerkin Methods ◽

Interior Penalty

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Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.03.007 ◽

2014 ◽

Vol 270 ◽

pp. 32-42 ◽

Cited By ~ 7

Author(s):

S. Giani ◽

P. Houston

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Incompressible Flows ◽

Galerkin Methods ◽

Adaptive Composite

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Some nonstandard error analysis of discontinuous Galerkin methods for elliptic problems

CALCOLO ◽

10.1007/s10092-010-0022-9 ◽

2010 ◽

Vol 47 (4) ◽

pp. 239-261 ◽

Cited By ~ 10

Author(s):

Thirupathi Gudi

Keyword(s):

Error Analysis ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Galerkin Methods

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Low Order Discontinuous Galerkin Methods for Second Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/070685105 ◽

2009 ◽

Vol 47 (1) ◽

pp. 508-533 ◽

Cited By ~ 11

Author(s):

E. Burman ◽

B. Stamm

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Second Order Elliptic Problems ◽

Low Order

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