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A High-Order Time Domain Discontinuous Galerkin Method with Orthogonal Tetrahedral Basis for Electromagnetic Simulations in 3-D Heterogeneous Conductive Media
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Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations
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High-order central Hermite WENO schemes: Dimension-by-dimension moment-based reconstructions
A mass conservative TR-BDF2 semi-implicit semi-Lagrangian DG discretization of the shallow water equations on general structured meshes of quadrilaterals
A Review of Element-Based Galerkin Methods for Numerical Weather Prediction: Finite Elements, Spectral Elements, and Discontinuous Galerkin
Simone Marras, James F. Kelly, Margarida Moragues, et al. Archives of Computational Methods in Engineering 23(4) 673 (2016) https://doi.org/10.1007/s11831-015-9152-1
A new stable splitting for singularly perturbed ODEs
On the Influence of Polynomial De-aliasing on Subgrid Scale Models
Andrea D. Beck, David G. Flad, Claudia Tonhäuser, Gregor Gassner and Claus-Dieter Munz Flow, Turbulence and Combustion 97(2) 475 (2016) https://doi.org/10.1007/s10494-016-9704-y
THE INVESTIGATION OF GHOST FLUID METHOD FOR SIMULATING THE COMPRESSIBLE TWO-MEDIUM FLOW
Handbook of Numerical Methods for Hyperbolic Problems - Basic and Fundamental Issues
J. Qiu and Q. Zhang Handbook of Numerical Analysis, Handbook of Numerical Methods for Hyperbolic Problems - Basic and Fundamental Issues 17 147 (2016) https://doi.org/10.1016/bs.hna.2016.06.001
IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach
T. Bolemann, A. Beck, D. Flad, et al. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach 128 435 (2015) https://doi.org/10.1007/978-3-319-12886-3_20
Error estimates of Runge–Kutta discontinuous galerkin methods for the Vlasov–Maxwell system
The high order control volume discontinuous Petrov–Galerkin finite element method for the hyperbolic conservation laws based on Lax–Wendroff time discretization
Recent Trends in Computational Engineering - CE2014
A. Beck, T. Bolemann, T. Hitz, V. Mayer and C.-D. Munz Lecture Notes in Computational Science and Engineering, Recent Trends in Computational Engineering - CE2014 105 281 (2015) https://doi.org/10.1007/978-3-319-22997-3_17
IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach
T. Bolemann, M. Üffinger, F. Sadlo, T. Ertl and C. -D. Munz Notes on Numerical Fluid Mechanics and Multidisciplinary Design, IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach 128 535 (2015) https://doi.org/10.1007/978-3-319-12886-3_25
Solving the relativistic magnetohydrodynamics equations with ADER discontinuous Galerkin methods, a posteriori subcell limiting and adaptive mesh refinement
An Experimental and Numerical Study of Long Wave Run-Up on a Plane Beach
Ulrike Drähne, Nils Goseberg, Stefan Vater, Nicole Beisiegel and Jörn Behrens Journal of Marine Science and Engineering 4(1) 1 (2015) https://doi.org/10.3390/jmse4010001
A new Runge–Kutta discontinuous Galerkin method with conservation constraint to improve CFL condition for solving conservation laws
An efficient parallel implementation of explicit multirate Runge–Kutta schemes for discontinuous Galerkin computations
Bruno Seny, Jonathan Lambrechts, Thomas Toulorge, Vincent Legat and Jean-François Remacle Journal of Computational Physics 256 135 (2014) https://doi.org/10.1016/j.jcp.2013.07.041
A Superconvergent Discontinuous Galerkin Method for Hyperbolic Problems on Tetrahedral Meshes
Discontinuous Galerkin Methods for the Vlasov--Maxwell Equations
Yingda Cheng, Irene M. Gamba, Fengyan Li and Philip J. Morrison SIAM Journal on Numerical Analysis 52(2) 1017 (2014) https://doi.org/10.1137/130915091
High‐order discontinuous Galerkin spectral element methods for transitional and turbulent flow simulations
Andrea D. Beck, Thomas Bolemann, David Flad, Hannes Frank, Gregor J. Gassner, Florian Hindenlang and Claus‐Dieter Munz International Journal for Numerical Methods in Fluids 76(8) 522 (2014) https://doi.org/10.1002/fld.3943
Optimal Strong-Stability-Preserving Runge–Kutta Time Discretizations for Discontinuous Galerkin Methods
A Review of Recent Advances in Discretization Methods,a PosterioriError Analysis, and Adaptive Algorithms for Numerical Modeling in Geosciences
Daniele A. Di Pietro and Martin Vohralík Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 69(4) 701 (2014) https://doi.org/10.2516/ogst/2013158
Alternating evolution discontinuous Galerkin methods for Hamilton–Jacobi equations
Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data
Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations
Chi-Wang Shu The IMA Volumes in Mathematics and its Applications, Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations 157 25 (2014) https://doi.org/10.1007/978-3-319-01818-8_2
A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
Adaptive Runge–Kutta discontinuous Galerkin method for complex geometry problems on Cartesian grid
Jianming Liu, Jianxian Qiu, Ou Hu, Ning Zhao, Mikhail Goman and Xinkai Li International Journal for Numerical Methods in Fluids 73(10) 847 (2013) https://doi.org/10.1002/fld.3825
A semi-implicit, semi-Lagrangian, p-adaptive discontinuous Galerkin method for the shallow water equations