Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Domain Decomposition Methods in Science and Engineering XX

Paola F. Antonietti and Paul Houston
Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XX 91 231 (2013)
DOI: 10.1007/978-3-642-35275-1_26
See this article

Domain Decomposition Methods in Science and Engineering XX

Laslo Diosady and David Darmofal
Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XX 91 559 (2013)
DOI: 10.1007/978-3-642-35275-1_66
See this article

Multigrid methods for saddle point problems: Darcy systems

Susanne C. Brenner, Duk-Soon Oh and Li-Yeng Sung
Numerische Mathematik 138 (2) 437 (2018)
DOI: 10.1007/s00211-017-0911-9
See this article

Two-Level Schwarz Methods for a Discontinuous Galerkin Approximation of Elliptic Problems with Jump Coefficients

Yingzhi Liu and Yinnian He
Journal of Scientific Computing 84 (1) (2020)
DOI: 10.1007/s10915-020-01257-2
See this article

Domain Decomposition Methods in Science and Engineering XXII

Maksymilian Dryja and Piotr Krzyżanowski
Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXII 104 167 (2016)
DOI: 10.1007/978-3-319-18827-0_15
See this article

Smoothed Aggregation Multigrid for the Discontinuous Galerkin Method

F. Prill, M. Lukáčová-Medviďová and R. Hartmann
SIAM Journal on Scientific Computing 31 (5) 3503 (2009)
DOI: 10.1137/080728457
See this article

Two-Grid hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic PDEs

Scott Congreve, Paul Houston and Thomas P. Wihler
Journal of Scientific Computing 55 (2) 471 (2013)
DOI: 10.1007/s10915-012-9644-1
See this article

Divergence-Conforming Discontinuous Galerkin Methods and $C^0$ Interior Penalty Methods

Guido Kanschat and Natasha Sharma
SIAM Journal on Numerical Analysis 52 (4) 1822 (2014)
DOI: 10.1137/120902975
See this article

Multiplicative Schwarz Methods for Discontinuous Galerkin Approximations of Elliptic Problems

Paola F. Antonietti and Blanca Ayuso
ESAIM: Mathematical Modelling and Numerical Analysis 42 (3) 443 (2008)
DOI: 10.1051/m2an:2008012
See this article

Fast linear solver for diffusion problems with applications to pressure computation in layered domains

P. van Slingerland and C. Vuik
Computational Geosciences 18 (3-4) 343 (2014)
DOI: 10.1007/s10596-014-9400-8
See this article

A FETI-DP Preconditioner for a Composite Finite Element and Discontinuous Galerkin Method

Maksymilian Dryja, Juan Galvis and Marcus Sarkis
SIAM Journal on Numerical Analysis 51 (1) 400 (2013)
DOI: 10.1137/100796571
See this article

Two-level additive Schwarz methods for discontinuous Galerkin approximations of second-order elliptic problems

Ohannes Karakashian and Craig Collins
IMA Journal of Numerical Analysis drw061 (2016)
DOI: 10.1093/imanum/drw061
See this article

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

Guido Kanschat
Journal of Computational and Applied Mathematics 218 (1) 53 (2008)
DOI: 10.1016/j.cam.2007.04.032
See this article

On a nonoverlapping additive Schwarz method forh-pdiscontinuous Galerkin discretization of elliptic problems

Piotr Krzyżanowski
Numerical Methods for Partial Differential Equations 32 (6) 1572 (2016)
DOI: 10.1002/num.22063
See this article

Auxiliary space preconditioners for SIP-DG discretizations of H(curl)-elliptic problems with discontinuous coefficients

Blanca Ayuso de Dios, Ralf Hiptmair and Cecilia Pagliantini
IMA Journal of Numerical Analysis drw018 (2016)
DOI: 10.1093/imanum/drw018
See this article

A massively parallel nonoverlapping additive Schwarz method for discontinuous Galerkin discretization of elliptic problems

Maksymilian Dryja and Piotr Krzyżanowski
Numerische Mathematik 132 (2) 347 (2016)
DOI: 10.1007/s00211-015-0718-5
See this article

A balancing domain decomposition by constraints preconditioner for a weakly over-penalized symmetric interior penalty method

Susanne C. Brenner, Eun-Hee Park and Li-Yeng Sung
Numerical Linear Algebra with Applications 20 (3) 472 (2013)
DOI: 10.1002/nla.1838
See this article

A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems

Paola F. Antonietti, Marco Sarti, Marco Verani and Ludmil T. Zikatanov
Journal of Scientific Computing 70 (2) 608 (2017)
DOI: 10.1007/s10915-016-0259-9
See this article

A Combined Preconditioning Strategy for Nonsymmetric Systems

B. Ayuso de Dios, A. T. Barker and P. S. Vassilevski
SIAM Journal on Scientific Computing 36 (6) A2533 (2014)
DOI: 10.1137/120888946
See this article

Two-Level Additive Schwarz Preconditioners for a Weakly Over-Penalized Symmetric Interior Penalty Method

A. T. Barker, S. C. Brenner, E.-H. Park and L.-Y. Sung
Journal of Scientific Computing 47 (1) 27 (2011)
DOI: 10.1007/s10915-010-9419-5
See this article

A Unified Analysis of Balancing Domain Decomposition by Constraints for Discontinuous Galerkin Discretizations

Laslo T. Diosady and David L. Darmofal
SIAM Journal on Numerical Analysis 50 (3) 1695 (2012)
DOI: 10.1137/100812434
See this article

Two-Level Overlapping Schwarz Algorithms for a Staggered Discontinuous Galerkin Method

Eric T. Chung, Hyea Hyun Kim and Olof B. Widlund
SIAM Journal on Numerical Analysis 51 (1) 47 (2013)
DOI: 10.1137/110849432
See this article

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

Iain Smears
Journal of Scientific Computing (2017)
DOI: 10.1007/s10915-017-0428-5
See this article

Substructuring preconditioners for an $$h$$ h - $$p$$ p domain decomposition method with interior penalty mortaring

P. F. Antonietti, B. Ayuso de Dios, S. Bertoluzza and M. Pennacchio
Calcolo 52 (3) 289 (2015)
DOI: 10.1007/s10092-014-0117-9
See this article

Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains

Paola F. Antonietti, Stefano Giani and Paul Houston
Journal of Scientific Computing 60 (1) 203 (2014)
DOI: 10.1007/s10915-013-9792-y
See this article

hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes

Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis and Paul Houston
SpringerBriefs in Mathematics, hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes 1 (2017)
DOI: 10.1007/978-3-319-67673-9_1
See this article

New conditions for non-stagnation of minimal residual methods

Valeria Simoncini and Daniel B. Szyld
Numerische Mathematik 109 (3) 477 (2008)
DOI: 10.1007/s00211-008-0145-y
See this article

Multigrid Algorithms for $hp$-Discontinuous Galerkin Discretizations of Elliptic Problems

Paola F. Antonietti, Marco Sarti and Marco Verani
SIAM Journal on Numerical Analysis 53 (1) 598 (2015)
DOI: 10.1137/130947015
See this article

Neumann-Neumann methods for a DG discretization on geometrically nonconforming substructures

Maksymilian Dryja, Juan Galvis and Marcus Sarkis
Numerical Methods for Partial Differential Equations 28 (4) 1194 (2012)
DOI: 10.1002/num.20678
See this article

Optimized Schwarz Methods for the Diffusion-Reaction Problem with Cylindrical Interfaces

Giacomo Gigante, Matteo Pozzoli and Christian Vergara
SIAM Journal on Numerical Analysis 51 (6) 3402 (2013)
DOI: 10.1137/120887758
See this article

Multilevel preconditioning of discontinuous Galerkin spectral element methods. Part I: geometrically conforming meshes

Kolja Brix, Martin Campos Pinto, Claudio Canuto and Wolfgang Dahmen
IMA Journal of Numerical Analysis 35 (4) 1487 (2015)
DOI: 10.1093/imanum/dru053
See this article

Domain Decomposition Methods in Science and Engineering XVII

Paola F. Antonietti and Blanca Ayuso
Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XVII 60 185 (2008)
DOI: 10.1007/978-3-540-75199-1_19
See this article

A BDDC algorithm for a class of staggered discontinuous Galerkin methods

Hyea Hyun Kim, Eric T. Chung and Chak Shing Lee
Computers & Mathematics with Applications 67 (7) 1373 (2014)
DOI: 10.1016/j.camwa.2014.02.001
See this article

hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes

Andrea Cangiani, Emmanuil H. Georgoulis and Paul Houston
Mathematical Models and Methods in Applied Sciences 24 (10) 2009 (2014)
DOI: 10.1142/S0218202514500146
See this article

Discrete Total Variation with Finite Elements and Applications to Imaging

Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez and Gerd Wachsmuth
Journal of Mathematical Imaging and Vision 61 (4) 411 (2019)
DOI: 10.1007/s10851-018-0852-7
See this article

V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes

P. F. Antonietti and G. Pennesi
Journal of Scientific Computing 78 (1) 625 (2019)
DOI: 10.1007/s10915-018-0783-x
See this article

Domain Decomposition Methods in Science and Engineering XIX

Blanca Ayuso and Ludmil T. Zikatanov
Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XIX 78 335 (2011)
DOI: 10.1007/978-3-642-11304-8_38
See this article

Scalable two-level preconditioning and deflation based on a piecewise constant subspace for (SIP)DG systems for diffusion problems

P. van Slingerland and C. Vuik
Journal of Computational and Applied Mathematics 275 61 (2015)
DOI: 10.1016/j.cam.2014.06.028
See this article

Uniformly Convergent Iterative Methods for Discontinuous Galerkin Discretizations

Blanca Ayuso de Dios and Ludmil Zikatanov
Journal of Scientific Computing 40 (1-3) 4 (2009)
DOI: 10.1007/s10915-009-9293-1
See this article

A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods

Paola F. Antonietti and Paul Houston
Journal of Scientific Computing 46 (1) 124 (2011)
DOI: 10.1007/s10915-010-9390-1
See this article

Deflation-accelerated preconditioning of the Poisson–Neumann Schur problem on long domains with a high-order discontinuous element-based collocation method

Sumedh M. Joshi, Greg N. Thomsen and Peter J. Diamessis
Journal of Computational Physics 313 209 (2016)
DOI: 10.1016/j.jcp.2016.02.033
See this article

Domain Decomposition Methods in Science and Engineering XVIII

Paola F. Antonietti and Endre Süli
Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XVIII 70 259 (2009)
DOI: 10.1007/978-3-642-02677-5_28
See this article

Partial Differential Equations

Vivette Girault and Mary F. Wheeler
Computational Methods in Applied Sciences, Partial Differential Equations 16 3 (2008)
DOI: 10.1007/978-1-4020-8758-5_1
See this article

Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations

Qiya Hu and Lin Zhao
Communications in Computational Physics 22 (4) 1069 (2017)
DOI: 10.4208/cicp.240515.040517a
See this article

Frontiers in Numerical Analysis - Durham 2010

Susanne C. Brenner
Lecture Notes in Computational Science and Engineering, Frontiers in Numerical Analysis - Durham 2010 85 79 (2011)
DOI: 10.1007/978-3-642-23914-4_2
See this article

A local discontinuous Galerkin gradient discretization method for linear and quasilinear elliptic equations

Assyr Abdulle and Giacomo Rosilho de Souza
ESAIM: Mathematical Modelling and Numerical Analysis 53 (4) 1269 (2019)
DOI: 10.1051/m2an/2019022
See this article