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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
Positivity-Preserving Runge-Kutta Discontinuous Galerkin Method on Adaptive Cartesian Grid for Strong Moving Shock
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Numerical simulation of laminar flow past two side-by-side cylinders by discontinuous Galerkin method
Handbook of Numerical Methods for Hyperbolic Problems - Basic and Fundamental Issues
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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
Multilevel and local time-stepping discontinuous Galerkin methods for magma dynamics
Solving the relativistic magnetohydrodynamics equations with ADER discontinuous Galerkin methods, a posteriori subcell limiting and adaptive mesh refinement
The high order control volume discontinuous Petrov–Galerkin finite element method for the hyperbolic conservation laws based on Lax–Wendroff time discretization
A semi‐implicit, semi‐Lagrangian discontinuous Galerkin framework for adaptive numerical weather prediction
Giovanni Tumolo and Luca Bonaventura Quarterly Journal of the Royal Meteorological Society 141(692) 2582 (2015) https://doi.org/10.1002/qj.2544
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
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A realizability-preserving discontinuous Galerkin scheme for entropy-based moment closures for linear kinetic equations in one space dimension
Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data
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
A selective immersed discontinuous Galerkin method for elliptic interface problems
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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
Energy conserving discontinuous Galerkin spectral element method for the Vlasov–Poisson system
A Review of Recent Advances in Discretization Methods,a PosterioriError Analysis, and Adaptive Algorithms for Numerical Modeling in Geosciences
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Alternating evolution discontinuous Galerkin methods for Hamilton–Jacobi equations
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 temporally adaptive hybridized discontinuous Galerkin method for time-dependent compressible flows