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13 results on '"Hiltebrand, Andreas"'

2. A Parallel Space-Time Finite Difference Solver for Periodic Solutions of the Shallow-Water Equation

Author

Arbenz, Peter, Hiltebrand, Andreas, Obrist, Dominik, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Wyrzykowski, Roman, editor, Dongarra, Jack, editor, Karczewski, Konrad, editor, and Waśniewski, Jerzy, editor

Published
2012
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5. An entropy stable spacetime discontinuous Galerkin method for the two-dimensional compressible Navier-Stokes equations

Author

Hiltebrand, Andreas and May, Sandra

Subjects
interior penalty method, entropy stability, wall boundary conditions, discontinuous Galerkin method, compressible Navier-Stokes equations, entropy variables
Abstract

In this paper, we present an entropy stable scheme for solving the compressible Navier-Stokes equations in two space dimensions. Our scheme uses entropy variables as degrees of freedom. It is an extension of an existing spacetime discontinuous Galerkin method for solving the compressible Euler equations. The physical diffusion terms are incorporated by means of the symmetric (SIPG) or nonsymmetric (NIPG) interior penalty method, resulting in the two versions ST-SDSC-SIPG and ST-SDSC-NIPG. The streamline diffusion and shock-capturing terms from the original scheme have been kept, but have been adjusted appropriately. This guarantees that the new scheme essentially reduces to the original scheme for the compressible Euler equations in regions with underresolved physical diffusion. We show entropy stability for both versions under suitable assumptions. We also present numerical results confirming the accuracy and robustness of our schemes., Ergebnisberichte des Instituts für Angewandte Mathematik;574

Published
2017

8. Entropy-stable discontinuous Galerkin finite element methods with streamline diffusion and shock-capturing for hyperbolic systems of conservation laws

Author

Hiltebrand, Andreas

Subjects
GALERKIN METHOD (NUMERICAL MATHEMATICS), HYPERBOLIC DIFFERENTIAL EQUATIONS (MATHEMATICAL ANALYSIS), CONSERVATION LAWS (THEORETICAL PHYSICS), TOPOLOGISCHE ENTROPIE (ANALYSIS), ERHALTUNGSSÄTZE (THEORETISCHE PHYSIK), TOPOLOGICAL ENTROPY (MATHEMATICAL ANALYSIS), HYPERBOLISCHE DIFFERENTIALGLEICHUNGEN (ANALYSIS), GALERKIN-VERFAHREN (NUMERISCHE MATHEMATIK), FINITE-ELEMENTE-METHODE (NUMERISCHE MATHEMATIK), FINITE ELEMENT METHOD (NUMERICAL MATHEMATICS), FOS: Mathematics, ddc:510, Mathematics
Published
2014

12. Brief an Georg Rem

Author

Hiltebrand, Andreas

Abstract

von Andreas Hiltebrand, Lateinisch, Digitalisierung=Digitization=Numérisation TIFF 02.08.2015

Published
1623
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13. Brief an [Caspar Bauhin]

Author

Hiltebrand, Andreas

Abstract

von Andreas Hiltebrand, Abschrift: UB Basel Handschriften G II 42:fol.69, Lateinisch, Digitalisierung=Digitization=Numérisation TIFF

Published
1613
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