Publications

K. SIMON, J. BEHRENS. “A Semi-Lagrangian Multiscale Framework for Advection-Dominant Problems”. Computational Science – ICCS 2019. Hg. J.M.F. Rodrigues et al.. Lecture Notes in Computer Science, 11539. Cham: Springer Verlag, 2019, S. 393-409. DOI:10.1007/978-3-030-22747-0_30

T. ULRICH, S. VATER, E. H. MADDEN, J. BEHRENS, Y. VAN DINTHER, I. VAN ZELST, E. FIELDING, C. LIANG, A.-A. GABRIEL. “Coupled, Physics-based Modeling Reveals Earthquake Displacements are Critical to the 2018 Palu, Sulawesi Tsunami”. Pure and Applied Geophysics (2019): S. 1-41.DOI:10.1007/s00024-019-02290-5

S. BECKERS, J. BEHRENS, and W. WOLLNER. “Duality Based Error Estimation in the Presence of Discontinuities”. Applied Numerical Mathematics 144. (2019): S. 83-99.DOI:j.apnum.2019.05.016

S. VATER, N. BEISIEGEL, and J. BEHRENS. “A limiter-based well-balanced discontinuous Galerkin method for shallow-water flows with wetting and drying: Triangular grids”. Int. J. Numer. Meth. Fluids (2019) DOI:10.1002/fld.4762

R. BRECHT, A. BIHLO, S. MACLACHLAN, J. BEHRENS. “A well-balanced meshless tsunami propagation and inundation model”. Adv. Water Res. 115. (2018): S. 273-285.DOI:10.1016/j.advwatres.2017.12.013

J. BEHRENS. “A Mathematics Inspired Notation of Scales in the Climate System”. Geosciences 8. (2018): S. 213.DOI:10.3390/geosciences8060213

E. GERWING, M. HORT, J. BEHRENS, and B. LANGMANN. “An Adaptive Semi-Lagrangian Advection Model for Transport of Volcanic Emissions in the Atmosphere”. Nat. Hazards Earth Syst. Sci. 18. (2018): S. 1517-1534.DOI:10.5194/nhess-18-1517-2018

W. BAUER, J. BEHRENS. “A structure-preserving split finite element discretization of the split 1D wave equations”. Applied Mathematics and Computation 325. (2018): S. 375-400.DOI:10.1016/j.amc.2017.12.035

Y. CHEN, K. SIMON, J. BEHRENS. “Enabling Adaptive Mesh Refinement for Single Components in ECHAM6”. Computational Science – ICCS 2018. Hg. Y. Shi et al.. Lecture Notes in Computer Science, 10861. Cham: Springer Verlag, 2018, S. 56-68. DOI:10.1007/978-3-319-93701-4_5

A. GREZIO, A. BABEYKO, M. A. BAPTISTA, J. BEHRENS, A. COSTA, G. DAVIES, E. L. GEIST, S. GLIMSDAL, F. I. GONZÁLEZ, J. GRIFFIN, C. B. HARBITZ, R. J. LEVEQUE, S. LORITO, F. LØVHOLT, R. OMIRA, C. MUELLER, R. PARIS, T. PARSONS, J. POLET, W. POWER, J. SELVA, M. B. SØRENSEN, H. K. THIO. “Probabilistic Tsunami Hazard Analysis (PTHA): multiple sources and global applications”. Reviews of Geophysics 55(4). (2017): S. 1158-1198.DOI:10.1002/2017rg000579

A. JESCHKE, G. K. PEDERSEN, S. VATER, J. BEHRENS. “Depth-averaged Non-hydrostatic Extension for Shallow Water Equations with Quadratic Vertical Pressure Profile: Equivalence to Boussinesq-type Equations”. Int. J. Numer. Meth. Fluids 84(10). (2017): S. 569-583.DOI:10.1002/fld.4361

A. JESCHKE, S. VATER, AND J. BEHRENS. “A Discontinuous Galerkin Method for Non-hydrostatic Shallow Water Flows”. Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. Hg. C. Cancès and P. Omnes. Springer Proceedings in Mathematics & Statistics, 200. Cham: Springer Verlag, 2017, S. 247-255. DOI:10.1007/978-3-319-57394-6_27

S. VATER, N. BEISIEGEL, AND J. BEHRENS. “Comparison of Wetting and Drying Between a RKDG2 Method and Classical FV Based Second-Order Hydrostatic Reconstruction”. Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. Hg. C. Cancès and P. Omnes. Springer Proceedings in Mathematics & Statistics, 200. Cham: Springer Verlag, 2017, S. 237-245. DOI:10.1007/978-3-319-57394-6_26

U. DRÄHNE, N. GOSEBERG, S. VATER, N. BEISIEGEL, and J. BEHRENS. “An Experimental and Numerical Study of Long Wave Run-Up on a Plane Beach”. J. Mar. Sci. Eng. 4. (2016): S. 1-23.DOI:10.3390/jmse4010001

S. VATER, N. BEISIEGEL, and J. BEHRENS. “A Limiter-Based Well-Balanced Discontinuous Galerkin Method for Shallow-Water Flows with Wetting and Drying”. Advances in Water Resources 85. (2015): S. 1-13.DOI:10.1016/j.advwatres.2015.08.008

C.E. CASTRO, J. BEHRENS, and C. PELTIES. “Optimization of the ADER-DG method in GPU applied to linear hyperbolic PDEs,”. Int. J. Numer. Meth. Fluids 81(4). (2015): S. 195-219.DOI:10.1002/fld.4179

N. WILKENS, J. BEHRENS, T. KLEINER, D. RIPPIN, M. RÜCKAMP, and A. HUMBERT. “Thermal structure and basal sliding parametrisation at Pine Island Glacier – a 3-D full-Stokes model study”. The Cryosphere 9. (2015): S. 675-690.DOI:10.5194/tc-9-675-2015

J. BEHRENS, F. DIAS. “New computational methods in tsunami science,”. Phil. Trans. R. Soc. A 273. (2015) DOI:10.1098/rsta.2014.0382

N. BEISIEGEL, J. BEHRENS. “Quasi-nodal third-order Bernstein polynomials in a discontinuous Galerkin model for flooding and drying”. Environmental Earth Sciences 74(11). (2015): S. 7275-7284.DOI:10.1007/s12665-015-4745-4

O. KUNST, J. BEHRENS. “Theoretical Measures of Cache-Efficiency for Tetrahedral Adaptive Meshes - A Case Study with a quasi Space-Filling Curve Order”. Advances in Parallel Computing. Hg. M. Bader et al.. Advances in Parallel Computing, 25. Amsterdam: IOS Press, 2014, S. 833 - 842. DOI:10.3233/978-1-61499-381-0-833

S. VATER and J. BEHRENS. “Well-balanced Inundation Modeling for Shallow-Water Flows with Discontinuous Galerkin Schemes”. 78. (2014): S. 965-973.DOI:10.1007/978-3-319-05591-6_98

A. MÜLLER; J. BEHRENS, F. X. GIRALDO, and V. WIRTH. “Comparison between adaptive and uniform discontinuous Galerkin simulations in dry 2D bubble experiments”. Journal of Computational Physics 235. (2013): S. 371-393.DOI:10.1016/j.jcp.2012.10.038

A. ANDROSOV, J. BEHRENS, and S. DANILOV. “Tsunami Modelling with Unstructured Grids. Interaction between Tides and Tsunami Waves”. Computational Science and High Performance Computing IV. Hg. E. Krause, Y. Shokin, M. Resch, D. Kröner, and N. Shokina. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 115. Berlin, Heidelberg: Springer Verlag, 2011, S. 191-206. DOI:10.1007/978-3-642-17770-5_15

J. BEHRENS, A. ANDROSOV, A. Y. BABEYKO, S. HARIG, F. KLASCHKA, L. MENTRUP. “A new multi-sensor approach to simulation assisted tsunami early warning”. Nat. Hazards Earth Syst. Sci. 10. (2010): S. 1085-1100.DOI:10.5194/nhess-10-1085-2010

J. BEHRENS and M. BADER. “Efficiency Considerations in Triangular Adaptive Mesh Refinement”. Phil. Trans. R. Soc. A 367. (2009): S. 4577-4589.DOI:10.1098/rsta.2009.0175

S. HARIG, CHAERONI, W. S. PRANOWO, J. BEHRENS. “Tsunami simulations on several scales: Comparison of approaches with unstructured meshes and nested grids”. Ocean Dynamics 58. (2008): S. 429-440.DOI:10.1007/s10236-008-0162-5

J. BEHRENS. “Unstrukturierte finite Elemente Simulationen für die Tsunami Frühwarnung in Indonesien”. NAFEMS Magazin 10. (2008): S. 41-51.HDL:10013/epic.32423.d001

M. BADER, S. SCHRAUFSTETTER, C. A. VIGH, J. BEHRENS. “Memory Efficient Adaptive Mesh Generation and Implementation of Multigrid Algorithms Using Sierpinski Curves”. International Journal of Computational Science and Engineering 4(1). (2008): S. 12-21.DOI:10.1504/IJCSE.2008.021108

M. LÄUTER, D. HANDORF, N. RAKOWSKY, J. BEHRENS, S. FRICKENHAUS, M. BEST, K. DETHLOFF AND W. HILLER. “A parallel adaptive barotropic model of the atmosphere”. Journal of Computational Physics 223(2). (2007): S. 609-628.DOI:10.1016/j.jcp.2006.09.029

J. BEHRENS. Adaptive Atmospheric Modeling - Key Techniques in Grid Generation, Data Structures, and Numerical Operations with Applications. Lecture Notes in Computational Science and Engineering, 54. Berlin, Heidelberg: Springer Verlag, 2006. DOI:10.1007/3-540-33383-5

J. BEHRENS, N. RAKOWSKY, W. HILLER, D. HANDORF, M. LÄUTER, J. PÄPKE, K. DETHLOFF. “amatos: Parallel Adaptive Mesh Generator for Atmospheric and Oceanic Simulation”. Ocean Modelling 12(1-2). (2005): S. 171-183.DOI:10.1016/j.ocemod.2004.06.003

J. BEHRENS. “Adaptive Atmospheric Modeling - Scientific Computing at its Best”. Computing in Science and Engineering 7(4). (2005): S. 76-83.DOI:10.1109/MCSE.2005.65

J. BEHRENS, L. MENTRUP. “A conservative scheme for 2D and 3D adaptive semi- Lagrangian advection”. Contemporary Mathematics 383. (2005): S. 219-234.DOI:10.1090/conm/383/07163

J. BEHRENS, A. ISKE. “Grid-free Adaptive Semi-Lagrangian Advection using Radial Basis Functions”. Comp. Math. Appl. 43. (2001): S. 319-327.DOI:10.1016/S0898-1221(01)00289-9

J. BEHRENS, K. DETHLOFF, W. HILLER, A. RINKE. “Evolution of Small-Scale Filaments in an Adaptive Advection Model for Idealized Tracer Transport”. Mon. Wea. Rev. 128. (2000): S. 2976-2982.DOI:10.1175/1520-0493(2000)128%3C2976:EOSSFI%3E2.0.CO;2

J. BEHRENS. “Atmospheric and Ocean Modeling with an Adaptive Finite Element Solver for the Shallow-Water Equations”. Applied Numerical Mathematics 26(1-2). (1998): S. 217- 226.DOI:10.1016/S0168-9274(97)00090-1

J. BEHRENS. “An Adaptive Semi-Lagrangian Advection Scheme and its Parallelization”. Mon. Wea. Rev. 124(10). (1996): S. 2386-2395.DOI:10.1175/1520-0493(1996)124%3C2386:AASLAS%3E2.0.CO;2