Primal Discontinuous Galerkin Methods for Time-Dependent Coupled Surface and Subsurface Flow

Ayçıl Çeşmelioğlu; Béatrice Rivière

doi:10.1007/s10915-009-9274-4

Primal Discontinuous Galerkin Methods for Time-Dependent Coupled Surface and Subsurface Flow

Journal of Scientific Computing ◽

10.1007/s10915-009-9274-4 ◽

2009 ◽

Vol 40 (1-3) ◽

pp. 115-140 ◽

Cited By ~ 44

Author(s):

Ayçıl Çeşmelioğlu ◽

Béatrice Rivière

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Subsurface Flow ◽

Time Dependent ◽

Galerkin Methods ◽

Surface And Subsurface Flow

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High-order WENO and discontinuous Galerkin methods for time dependent simulations

10.2514/6.2000-2618 ◽

2000 ◽

Author(s):

Tie Zhou ◽

Yinfan Li ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

High Order ◽

Time Dependent ◽

Galerkin Methods

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Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2017017 ◽

2017 ◽

Vol 51 (5) ◽

pp. 1931-1955 ◽

Cited By ~ 3

Author(s):

Haijin Wang ◽

Qiang Zhang ◽

Chi-Wang Shu

Keyword(s):

Stability Analysis ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Fourth Order ◽

Discontinuous Galerkin Methods ◽

Time Dependent ◽

Galerkin Methods ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Time Marching

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Numerical resolution of discontinuous Galerkin methods for time dependent wave equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2011.05.010 ◽

2011 ◽

Vol 200 (41-44) ◽

pp. 2814-2827 ◽

Cited By ~ 18

Author(s):

Xinghui Zhong ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Wave Equations ◽

Discontinuous Galerkin Methods ◽

Time Dependent ◽

Galerkin Methods ◽

Numerical Resolution

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Some Recent Developments in Superconvergence of Discontinuous Galerkin Methods for Time-Dependent Partial Differential Equations

Journal of Scientific Computing ◽

10.1007/s10915-018-0762-2 ◽

2018 ◽

Vol 77 (3) ◽

pp. 1402-1423 ◽

Cited By ~ 1

Author(s):

Waixiang Cao ◽

Zhimin Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Time Dependent ◽

Galerkin Methods ◽

Partial Differential ◽

Recent Developments

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Superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations

Scientia Sinica Mathematica ◽

10.1360/n012014-00123 ◽

2015 ◽

Vol 45 (7) ◽

pp. 1041-1060 ◽

Cited By ~ 1

Author(s):

Chi-Wang SHU ◽

Xiong MENG ◽

Yang YANG

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Time Dependent ◽

Galerkin Methods ◽

Partial Differential

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Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2015.12.039 ◽

2016 ◽

Vol 308 ◽

pp. 198-217 ◽

Cited By ~ 22

Author(s):

Zheng Chen ◽

Hongying Huang ◽

Jue Yan

Keyword(s):

Maximum Principle ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Time Dependent ◽

Diffusion Equations ◽

Galerkin Methods ◽

Triangular Meshes ◽

Third Order ◽

Convection Diffusion

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Space-Time Discontinuous Galerkin Methods for Optimal Control Problems Governed by Time Dependent Diffusion-Convection-Reaction Equations

Contributions in Mathematical and Computational Sciences - Multiple Shooting and Time Domain Decomposition Methods ◽

10.1007/978-3-319-23321-5_9 ◽

2015 ◽

pp. 233-261

Author(s):

Tuğba Akman ◽

Bülent Karasözen

Keyword(s):

Optimal Control ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Optimal Control Problems ◽

Space Time ◽

Time Dependent ◽

Control Problems ◽

Galerkin Methods ◽

Diffusion Convection ◽

Reaction Equations

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Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow

Mathematics of Computation ◽

10.1090/mcom/3312 ◽

2018 ◽

Vol 88 (315) ◽

pp. 91-121 ◽

Cited By ~ 4

Author(s):

Haijin Wang ◽

Yunxian Liu ◽

Qiang Zhang ◽

Chi-Wang Shu

Keyword(s):

Fluid Flow ◽

Incompressible Fluid ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Time Dependent ◽

Galerkin Methods ◽

Incompressible Fluid Flow ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Time Marching

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Explicit Hyperbolic Reconstructed Discontinuous Galerkin Methods for Time-Dependent Problems

2018 Fluid Dynamics Conference ◽

10.2514/6.2018-4270 ◽

2018 ◽

Cited By ~ 2

Author(s):

Jialin Lou ◽

Lingquan Li ◽

Hong Luo ◽

Hiroaki Nishikawa

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Time Dependent ◽

Galerkin Methods ◽

Time Dependent Problems

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Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other Methods

Lecture Notes in Computational Science and Engineering - Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations ◽

10.1007/978-3-319-41640-3_12 ◽

2016 ◽

pp. 371-399 ◽

Cited By ~ 3

Author(s):

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Time Dependent ◽

Galerkin Methods ◽

Recent Developments ◽

Convection Dominated

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