Peer-reviewed journal articles:
5.) | Gero Schnücke, Nico Krais, Thomas Bolemann, Gregor Gassner. Entropy Stable Discontinuous Galerkin Schemes on Moving Meshes for Hyperbolic Conservation Laws. Journal of Scientific Computing. Published electronically: March 3, 2020. DOI: https://doi.org/10.1007/s10915-020-01171-7 |
4.) | P. Fu, G. Schnücke and Y. Xia. Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws on moving simplex meshes. Mathematics of Computation, 88 (2019), 2221-2255. DOI: https://doi.org/10.1090/mcom/3417 |
3.) | L. Friedrich, G. Schnücke, A. R. Winters, D. C. D. R. Fernández, G. J. Gassner and M. H. Carpenter. Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws. Journal of Scientific Computing 80 (2019), 175–222. DOI: https://doi.org/10.1007/s10915-019-00933-2 |
2.) | C. Klingenberg, G. Schnücke and Y. Xia. An Arbitrary Lagrangian-Eulerian Local Discontinuous Galerkin Method for Hamilton-Jacobi Equations. Journal of Scientific Computing 73 (2017), 906-942. DOI: https://doi.org/10.1007/s10915-017-0471-2 |
1.) | C. Klingenberg, G. Schnücke and Y. Xia. Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: analysis and application in one dimension. Mathematics of Computation 86 (2017): 1203-1232. DOI: https://doi.org/10.1090/mcom/3126 |
Submitted manuscripts
1.) | N. Krais, G. Schnücke, T. Bolemann and G. J. Gassner. Split form ALE discontinuous Galerkin methods with applications to under-resolved turbulent low-Mach number flows. arXiv preprint: arXiv: 2003.02296 |
Conference proceedings
1.) | C. Klingenberg, G. Schnücke and Y. Xia. (2018) An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for Conservation Laws: Entropy Stability. In: Klingenberg C., Westdickenberg M. (eds) Theory, Numerics and Applications of Hyperbolic Problems II. HYP 2016. Springer Proceedings in Mathematics & Statistics, vol 237. Springer, Cham. https://doi.org/10.1007/978-3-319-91548-7_16 |