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Discontinuous Galerkin method for incompressible two-phase flows

J. Gerstenberger, S. Burbulla, and D. Kröner. Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, page 675-683. Cham, Springer International Publishing, (2020)

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Dietmar Traub University of Stuttgart

Dietmar Hölderle University of Stuttgart

Dietmar Geyer University of Stuttgart

Dietmar Traub

Dietmar Zeh University of Stuttgart

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Local adaptive methods for convection dominated problemsR. Klöfkorn, D. Kröner, and M. Ohlberger. International journal for numerical methods in fluids, 40 (1/2): 79-91 (2002)Parallel Adaptive Simulation of PEM Fuel CellsR. Klöfkorn, D. Kröner, and M. Ohlberger. Mathematics - Key Technology for the Future, Springer, Berlin, (2008)Godunov-type schemes for the MHD equationsA. Dedner, D. Kröner, C. Rohde, and M. Wesenberg. Godunov methods : theory and applications, page 209-216. New York, Kluwer Academic/Plenum Publ., (2001)Local discontinuous Galerkin numerical solutions of non-Newtonian incompressible flows modeled by p-Navier-Stokes equations.D. Kröner, M. Ruzicka, and I. Toulopoulos. J. Comput. Physics, (2014)A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions.D. Kröner, and M. Ohlberger. Math. Comput., 69 (229): 25-39 (2000)Numerical Solutions to Compressible Flows in a Nozzle with Variable Cross-section.D. Kröner, and M. Thanh. SIAM J. Numerical Analysis, 43 (2): 796-824 (2005)A posteriori error estimates and adaptive methods for hyperbolic and convection dominated parabolic conservation lawsD. Kröner, M. Küther, M. Ohlberger, and C. Rohde. Trends in nonlinear analysis, Springer, Berlin, 1 edition, (2003)Traces for Functions of Bounded Variation on Manifolds with Applications to Conservation Laws on Manifolds with Boundary.D. Kröner, T. Müller, and L. Strehlau. SIAM J. Math. Analysis, 47 (5): 3944-3962 (2015)MHD instabilities arising in solar physics: a numerical approachA. Dedner, D. Kröner, C. Rohde, and M. Wesenberg. Hyperbolic problems: theory, numerics, applications, Vol. I, II (Magdeburg, 2000), volume 141 of Internat. Ser. Numer. Math., 140, Birkhäuser, Basel, (2001)Numerical solution of Navier-Stokes-Korteweg systems by Local Discontinuous Galerkin methods in multiple space dimensionsD. Diehl, J. Kremser, D. Kröner, and C. Rohde. Applied mathematics and computation, 272 (2): 309-335 (2016)