Adaptive Discontinuous Galerkin Methods for Nonlinear Diffusion-Convection-Reaction Equations

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications - ENUMATH 2013 ◽

10.1007/978-3-319-10705-9_8 ◽

2014 ◽

pp. 85-93

Author(s):

Bulent Karasözen ◽

Murat Uzunca ◽

Murat Manguoǧlu

Keyword(s):

Discontinuous Galerkin ◽

Nonlinear Diffusion ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Diffusion Convection ◽

Reaction Equations

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Distributed Optimal Control of Diffusion-Convection-Reaction Equations Using Discontinuous Galerkin Methods

Numerical Mathematics and Advanced Applications 2011 ◽

10.1007/978-3-642-33134-3_42 ◽

2012 ◽

pp. 389-397 ◽

Cited By ~ 5

Author(s):

H. Yücel ◽

M. Heinkenschloss ◽

B. Karasözen

Keyword(s):

Optimal Control ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Distributed Optimal Control ◽

Diffusion Convection ◽

Reaction Equations

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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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Adaptive discontinuous Galerkin methods for non-linear diffusion–convection–reaction equations

Computers & Chemical Engineering ◽

10.1016/j.compchemeng.2014.05.002 ◽

2014 ◽

Vol 68 ◽

pp. 24-37 ◽

Cited By ~ 8

Author(s):

Murat Uzunca ◽

Bülent Karasözen ◽

Murat Manguoğlu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Linear Diffusion ◽

Non Linear ◽

Diffusion Convection ◽

Reaction Equations

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Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems

Science China Mathematics ◽

10.1007/s11425-018-9524-x ◽

2019 ◽

Vol 63 (1) ◽

pp. 183-204 ◽

Cited By ~ 1

Author(s):

Haijin Wang ◽

Qiang Zhang ◽

Shiping Wang ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Nonlinear Diffusion ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Diffusion Problems

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First-Order Hyperbolic System Based Reconstructed Discontinuous Galerkin Methods for Nonlinear Diffusion Equations on Unstructured Grids

2018 AIAA Aerospace Sciences Meeting ◽

10.2514/6.2018-2094 ◽

2018 ◽

Cited By ~ 4

Author(s):

Jialin Lou ◽

Lingquan Li ◽

Hong Luo ◽

Hiroaki Nishikawa

Keyword(s):

Discontinuous Galerkin ◽

Hyperbolic System ◽

Nonlinear Diffusion ◽

Discontinuous Galerkin Methods ◽

Unstructured Grids ◽

Diffusion Equations ◽

Galerkin Methods ◽

Nonlinear Diffusion Equations ◽

First Order

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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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