Universität zu Köln

2022

Kopriva, David A., Gassner, Gregor J. and Nordstrom, Jan (2022). On the theoretical foundation of overset grid methods for hyperbolic problems II: Entropy bounded formulations for nonlinear conservation laws. J. Comput. Phys., 471. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

Kopriva, David A., Nordstrom, Jan ORCID: 0000-0002-7972-6183 and Gassner, Gregor J. (2022). On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation. J. Comput. Phys., 448. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

2021

Kopriva, David A. and Gassner, Gregor J. ORCID: 0000-0002-1752-1158 (2021). A Split-Form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems. Technical Report.

Kopriva, David A. and Gassner, Gregor J. (2021). A Split-form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems. J. Sci. Comput., 89 (1). NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Kopriva, David A., Gassner, Gregor J. and Nordstrom, Jan ORCID: 0000-0002-7972-6183 (2021). Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. J. Sci. Comput., 88 (1). NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Kopriva, David A., Nordstrom, Jan ORCID: 0000-0002-7972-6183 and Gassner, Gregor J. ORCID: 0000-0002-1752-1158 (2021). On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems: Well-Posedness and Conservation. Technical Report.

Rueda-Ramirez, Andres M., Ferrer, Esteban, Kopriva, David A., Rubio, Gonzalo and Valero, Eusebio (2021). A statically condensed discontinuous Galerkin spectral element method on Gauss-Lobatto nodes for the compressible Navier-Stokes equations. J. Comput. Phys., 426. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

2020

Kopriva, David A., Gassner, Gregor J. ORCID: 0000-0002-1752-1158 and Nordström, Jan (2020). Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. Technical Report.

2019

Gassner, Gregor J., Winters, Andrew R., Hindenlang, Florian J. and Kopriva, David A. (2019). The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. Technical Report.

Kopriva, David A. ORCID: 0000-0002-7416-6551, Hindenlang, Florian J., Bolemann, Thomas and Gassner, Gregor J. (2019). Free-Stream Preservation for Curved Geometrically Non-conforming Discontinuous Galerkin Spectral Elements. J. Sci. Comput., 79 (3). S. 1389 - 1409. NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

2018

Gassner, Gregor J., Winters, Andrew R., Hindenlang, Florian J. and Kopriva, David A. (2018). The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations (vol 77, pg 154, 2018). J. Sci. Comput., 77 (1). S. 201 - 204. NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Gassner, Gregor J., Winters, Andrew R., Hindenlang, Florian J. and Kopriva, David A. (2018). The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. J. Sci. Comput., 77 (1). S. 154 - 201. NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

2017

Kopriva, David A., Nordstrom, Jan ORCID: 0000-0002-7972-6183 and Gassner, Gregor J. (2017). Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems. J. Sci. Comput., 72 (1). S. 314 - 331. NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

Wintermeyer, Niklas, Winters, Andrew R., Gassner, Gregor J. and Kopriva, David A. (2017). An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry. J. Comput. Phys., 340. S. 200 - 243. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

2016

Gassner, Gregor J., Winters, Andrew R. and Kopriva, David A. (2016). Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations. J. Comput. Phys., 327. S. 39 - 67. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

Gassner, Gregor J., Winters, Andrew R. and Kopriva, David A. (2016). A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations. Appl. Math. Comput., 272. S. 291 - 309. NEW YORK: ELSEVIER SCIENCE INC. ISSN 1873-5649

Kopriva, David A. and Gassner, Gregor J. (2016). Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable. Appl. Math. Comput., 272. S. 274 - 291. NEW YORK: ELSEVIER SCIENCE INC. ISSN 1873-5649

Kopriva, David A., Winters, Andrew R., Bohm, Marvin and Gassner, Gregor J. (2016). A provably stable discontinuous Galerkin spectral element approximation for moving hexahedral meshes. Comput. Fluids, 139. S. 148 - 161. OXFORD: PERGAMON-ELSEVIER SCIENCE LTD. ISSN 1879-0747

2014

Kopriva, David A. and Gassner, Gregor J. (2014). AN ENERGY STABLE DISCONTINUOUS GALERKIN SPECTRAL ELEMENT DISCRETIZATION FOR VARIABLE COEFFICIENT ADVECTION PROBLEMS. SIAM J. Sci. Comput., 36 (4). S. A2076 - 24. PHILADELPHIA: SIAM PUBLICATIONS. ISSN 1095-7197