Adaptive discontinuous Galerkin methods for elliptic interface problems

Andrea Cangiani; Emmanuil H. Georgoulis; Younis A. Sabawi

doi:10.1090/mcom/3322

Adaptive discontinuous Galerkin methods for elliptic interface problems

Mathematics of Computation ◽

10.1090/mcom/3322 ◽

2018 ◽

Vol 87 (314) ◽

pp. 2675-2707 ◽

Cited By ~ 9

Author(s):

Andrea Cangiani ◽

Emmanuil H. Georgoulis ◽

Younis A. Sabawi

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Interface Problems ◽

Galerkin Methods ◽

Elliptic Interface Problems

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Efficient multigrid solution of elliptic interface problems using viscosity-upwinded local discontinuous Galerkin methods

Communications in Applied Mathematics and Computational Science ◽

10.2140/camcos.2019.14.247 ◽

2019 ◽

Vol 14 (2) ◽

pp. 247-283

Author(s):

Robert I. Saye

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Interface Problems ◽

Galerkin Methods ◽

Elliptic Interface Problems ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods

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Local discontinuous Galerkin methods for parabolic interface problems with homogeneous and non-homogeneous jump conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.07.031 ◽

2017 ◽

Vol 74 (10) ◽

pp. 2572-2598 ◽

Cited By ~ 5

Author(s):

Na An ◽

Xijun Yu ◽

Chaobao Huang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Interface Problems ◽

Galerkin Methods ◽

Jump Conditions ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods

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A Posteriori L_∞ (L_2 )+L_2 (H^1 )–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems

Baghdad Science Journal ◽

10.21123/bsj.2021.18.3.0522 ◽

2021 ◽

Vol 18 (3) ◽

Keyword(s):

Discontinuous Galerkin ◽

Error Bounds ◽

Discontinuous Galerkin Methods ◽

Interface Problems ◽

Galerkin Methods ◽

A Posteriori ◽

Semilinear Parabolic

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Device Modeling Using Discontinuous Galerkin Methods for Fluid Plasmas

40th AIAA Plasmadynamics and Lasers Conference ◽

10.2514/6.2009-3834 ◽

2009 ◽

Author(s):

John Loverich ◽

Ammar Hakim

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Device Modeling ◽

Galerkin Methods

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Regionally implicit discontinuous Galerkin methods for solving the relativistic Vlasov-Maxwell system

10.31274/etd-180810-5144 ◽

2017 ◽

Author(s):

Pierson Guthrey

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Maxwell System

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A Comparison of the Explicit and Implicit Hybridizable Discontinuous Galerkin Methods for Nonlinear Shallow Water Equations

Journal of Scientific Computing ◽

10.1007/s10915-019-01007-z ◽

2019 ◽

Vol 80 (3) ◽

pp. 1936-1956 ◽

Cited By ~ 3

Author(s):

Ali Samii ◽

Kazbek Kazhyken ◽

Craig Michoski ◽

Clint Dawson

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Hybridizable Discontinuous Galerkin ◽

Nonlinear Shallow Water Equations ◽

Hybridizable Discontinuous Galerkin Methods

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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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Local-Maximum-and-Minimum-Preserving Solution Remapping Technique to Accelerate Flow Convergence for Discontinuous Galerkin Methods in Shape Optimization Design

Journal of Scientific Computing ◽

10.1007/s10915-021-01499-8 ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Jufang Wang ◽

Tiegang Liu

Keyword(s):

Shape Optimization ◽

Discontinuous Galerkin ◽

Optimization Design ◽

Discontinuous Galerkin Methods ◽

Local Maximum ◽

Galerkin Methods ◽

Accelerate Flow ◽

Flow Convergence

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Local Discontinuous Galerkin Methods to a Dispersive System of KdV-Type Equations

Journal of Scientific Computing ◽

10.1007/s10915-020-01370-2 ◽

2021 ◽

Vol 86 (1) ◽

Author(s):

Chao Zhang ◽

Yan Xu ◽

Yinhua Xia

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Dispersive System ◽

Kdv Type Equations

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Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations

Numerische Mathematik ◽

10.1007/s00211-021-01209-4 ◽

2021 ◽

Author(s):

Kailiang Wu ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Mhd Equations ◽

Galerkin Methods ◽

Physical Constraint

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