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Publications

Articles in refereed journals

[15] S. Brdar, M. Baldauf, A. Dedner, and R. Klöfkorn. Comparison of dynamical cores for NWP models . 2011. accepted in Journal of Theoretical and Computational Fluid Dynamic. [ bib ]
[14] S. Brdar, A. Dedner, and R. Klöfkorn. Compact and stable Discontinuous Galerkin methods for convection-diffusion problems. J. Sci. Comp. 34(1), 2012 [ bib ]

[13]

A. Dedner and R. Klöfkorn. A Generic Stabilization Approach for Higher Order Discontinuous Galerkin Methods for Convection Dominated Problems. J. Sci. Comput., 47(3):365–388, 2011. [ bib ]
[12] A. Dedner, R. Klöfkorn, M. Nolte, and M. Ohlberger. A generic interface for parallel and adaptive scientific computing: Abstraction principles and the module. Computing, 89(1), 2010. [ bib ]
[11] A. Dedner, R. Klöfkorn, and D. Kröner. Efficient higher order methods for convection dominated problems on unstructured grids and applications. Comput. Tech., 13:25–35, 2008. [ bib ]
[10] P. Bastian, M. Blatt, A. Dedner, C. Engwer, R. Klöfkorn, M. Ohlberger, and O. Sander. A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework. Computing, 82(2-3):103–119, 2008. [ bib ]
[9] P. Bastian, M. Blatt, A. Dedner, C. Engwer, R. Klöfkorn, R. Kornhuber, M. Ohlberger, and O. Sander. A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in dune. Computing, 82(2-3):121–138, 2008. [ bib ]
[8] A. Dedner, C. Makridakis, and M. Ohlberger. Error control for a class of Runge-Kutta discontinuous Galerkin methods for nonlinear conservation laws. SIAM J. Numer. Anal., 45(2):514–538, 2007. [ bib ]
[7] A. Dedner. Computing the radiating source term in the system of radiation magnetohydrodynamics. PAMM, 7, 2007. [ bib ]
[6] R. Backofen, H.-G. Borrmann, W. Deck, A. Dedner, L. De Raedt, K. Desch, M. Diesmann, M. Geier, A. Greiner, W.R. Hess, J. Honerkamp, S. Jankowski, I. Krossing, A.W. Liehr, A. Karwathi, R. Klöfkorn, R. Pesché, T.C. Potjans, M.C. Röttger, L. Schmidt-Thieme, G. Schneider, B. Voß, B. Wiebelt, P. Wienemann, and V.-H. Winterer. A Bottom-up approach to Grid-Computing at a University: the Black-Forest-Grid Initiative. Praxis der Informationsverarbeitung und Kommunikation, 29(2):81–87, 2006. [ bib ]
[5] A. Dedner and C. Rohde. Numerical approximation of entropy solutions for hyperbolic integro–differential equations. Numer. Math., 97(3):441–471, 2004. [ bib ]
[4] A. Dedner, C. Rohde, B. Schupp, and M. Wesenberg. A parallel, load balanced mhd code on locally adapted, unstructured grids in 3d. Computing and Visualization in Science, 7:79–96, 2004. [ bib ]
[3] A. Dedner and P. Vollmöller. An adaptive higher order method for solving the radiation transport equation on unstructured grids. J. Comput. Phys., 178:263–289, 2002. [ bib ]
[2] A. Dedner, F. Kemm, D. Kröner, C.-D. Munz, T. Schnitzer, and M. Wesenberg. Hyperbolic divergence cleaning for the MHD equations. J. Comput. Phys., 175(2):645–673, 2002. [ bib ]
[1] A. Dedner, D. Kröner, I.L. Sofronov, and M. Wesenberg. Transparent boundary conditions for MHD simulations in stratified atmospheres. J. Comput. Phys., 171(2):448–478, 2001. [ bib ]

 

Books and thesis

[3] A. Dedner, B. Flemisch, and R. Klöfkorn, editors. Advances in DUNE. Springer, 2012. in press. [ bib ]
[2] A. Dedner. Solving the system of Radiation Magnetohydrodynamics : for solar physical simulations in 3d. Suedwestdeutscher Verlag fuer Hochschulschriften, 2010. phd thesis University of Freiburg, 2003. [ bib | http ]
[1] A. Dedner. Numerik und Analysis für ein gekoppeltes System der Eulergleichungen mit der Strahlungstransportgleichung in zwei Raumdimensionen. Freiburg, July 1998. [ bib ]

 

Articles in conference proceedings and books

[29] P. Bastian, H. Berninger, A. Dedner, C. Engwer, P. Henning, R. Kornhuber, D. Kröner, M. Ohlberger, O. Sander, G. Schiffler, N. Shokina, and K. Smetana. Adaptive modelling of coupled hydrological processes with application in water management. In Progress in Industrial Mathematics at ECMI 2010,, volume 17 of Mathematics in Industry,. The European Consortium for Mathematics in Industry, Springer,, February 2012. [ bib ]
[28] A. Dedner and M. Nolte. Construction of Local Finite Element Spaces Using the Generic Reference Elements. In A. Dedner, B. Flemisch, and R. Klöfkorn, editors, Advances in DUNE. Springer, 2012. to appear. [ bib ]
[27] A. Dedner, R. Klöfkorn, M. Nolte, and M. Ohlberger. DUNE-FEM. A general purpose discretization toolbox for parallel and adaptive scientific computing. In A. Dedner, B. Flemisch, and R. Klöfkorn, editors, Advances in DUNE. Springer, 2012. to appear. [ bib ]
[26] A. Dedner, D. Kröner, and N. Shokina. Adaptive modelling of two-dimensional shallow water flows with wetting and drying. In E. Krause et al., editor, Computational Science and High Performance Computing IV, volume 115, pages 1–15. Springer, 2011. [ bib]
[25] S. Brdar, A. Dedner, R. Klöfkorn, M. Kränkel, and D. Kröner. Simulation of Geophysical Problems with DUNE-FEM. In E. Krause et al., editor, Computational Science and High Performance Computing IV, volume 115, pages 93–106. Springer, 2011. [ bib]
[24] S. Brdar, A. Dedner, and R. Klöfkorn. Compact and Stable Discontinuous Galerkin Methods with Application to Atmospheric Flows. In I. Kondov et al., editor, Computational Methods in Science and Engineering: Proceedings of the Workshop SimLabs@KIT, pages 109–116. KIT Scientific Publishing, 2011. [ bib]
[23] A. Dedner, R. Klöfkorn, and D. Kröner. Higher Order Adaptive and Parallel Simulations Including Dynamic Load Balancing with the Software Package DUNE. In W. Nagel et al., editor, High Performance Computing in Science and Engineering '09, pages 229–239. Springer, 2010. [ bib]
[22] A. Dedner and C. Gersbacher. A Local Discontinuous Galerkin Discretization for Hydrostatic Free Surface Flows Using σ-transformed Coordinates. In Proc. of the 13th International Conference on Hyperbolic Problems: Theory, Numerics, Applications. 2010. to appear. [ bib ]
[21] S. Brdar, A. Dedner, and R. Klöfkorn. CDG Method for Navier-Stokes Equations. In Proc. of the 13th International Conference on Hyperbolic Problems: Theory, Numerics, Applications. 2010. to appear. [ bib ]
[20] A. Dedner and R. Klöfkorn. Stabilization for Discontinuous Galerkin Methods Applied to Systems of Conservation Laws. In E. Tadmor et al., editor, Proc. of the 12th International Conference on Hyperbolic Problems, Proceedings of Symposia in Applied Mathematics 67, Part 1, 253-268, 2009. [ bib ]
[19] A. Dedner and R. Klöfkorn. Benchmark on Anisotropic Problems. The Compact Discontinuous Galerkin Method for Elliptic Problems. In Proc. of the 5th International Symposium on Finite Volumes for Complex Applications, pages 761–776, 2008. [ bib ]
[18] A. Dedner, M. Luethi, T. Albrecht, and T. Vetter. Curvature Guided Level Set Registration using Adaptive Finite Elements. In F. Hamprecht, C. Schnorr, and B. Jahne, editors, Proc. of the 29th Annual Symposium of the German Association for Pattern Recognition, Berlin/Heidelberg, 2007. Springer. [ bib ]
[17] A. Dedner and M. Ohlberger. A new hp-adaptive dg scheme for conservation laws based on error control. In Proceedings of the eleventh International Conference on Hyperbolic Problems, July 17-21,Lyon France, 2006. [ bib ]
[16] A. Burri, A. Dedner, R. Klöfkorn, and M. Ohlberger. An efficient implementation of an adaptive and parallel grid in dune. In E. Krause et al., editor, Computational Science and High Performance Computing II, volume 91, pages 67–82. Springer, 2006. [ bib]
[15] A. Burri, A. Dedner, D. Diehl, R. Klöfkorn, and M. Ohlberger. A general object oriented framework for discretizing non-linear evolution equations. In Y. Shokin et al., editor, Advances in High Performance Computing and Computational Sciences, volume 93, pages 69–87. Springer, 2006. [ bib]
[14] A. Burri, A. Dedner, D. Diehl, R. Klöfkorn, and M. Ohlberger. A general object oriented framework for discretizing nonlinear evolution equations. In Y.I. Shokin, M. Resch, N. Danaev, M. Orunkhanov, and N. Shokina, editors, Advances in High Performance Computing and Computational Sciences, Berlin/Heidelberg, 2006. Springer. [ bib ]
[13] P. Bastian, M. Blatt, A. Dedner, Ch. Engwer, R. Klöfkorn, S.P. Kuttanikkad, M. Ohlberger, and O. Sander. The Distributed and Unified Numerics Environment (DUNE). In Proc. of the 19th Symposium on Simulation Technique in Hannover, Sep. 12 - 14, 2006. [ bib ]
[12] A. Dedner, C. Makridakis, and M. Ohlberger. A new stable discontinuous galerkin approximation for non-linear conservation laws on adaptively refined grids. In KJ Bathe, editor, Proceedings of the 3rd MIT Conference on Computational Fluid and Solid Mechanics., pages 1095 – 1099. Elsevier Ltd, 2005. [ bib ]
[11] A. Dedner, D. Kröner, C. Rohde, and M. Wesenberg. Radiation-magnetohydrodynamics: Analysis for model problems and 3d-simulations for the full system. In G. Warnecke, editor, Analysis and numerics for conservation laws, pages 163 – 202. Springer, 2005. [ bib ]
[10] A. Dedner, D. Kröner, C. Rohde, T. Schnitzer, and M. Wesenberg. Comparison of finite volume and discontinuous Galerkin methods of higher order for systems of conservation laws in multiple space dimensions. In S. Hildebrandt and H. Karcher, editors, Geometric Analysis and Nonlinear Partial Differential Equations, pages 573–589. Springer, Berlin, 2003. [ bib ]
[9] A. Dedner, D. Kröner, C. Rohde, and M. Wesenberg. Efficient divergence cleaning in three–dimensional MHD simulations. In E. Krause and W. Jäger, editors, High Performance Computing in Science and Engineering '02, pages 323–334. Springer, Berlin, 2003. [ bib ]
[8] A. Dedner, C. Rohde, and M. Wesenberg. A new approach to divergence cleaning in magnetohydrodynamic simulations. In T. Y. Hou and E. Tadmor, editors, Hyperbolic Problems: Theory, Numerics, Applications, pages 509–518. Springer, 2003. Ninth International Conference in Pasadena March 2002. [ bib ]
[7] A. Dedner, C. Rohde, and M. Wesenberg. Efficient higher–order finite volume scheme for (real gas) magnetohydrodynamics. In T. Y. Hou and E. Tadmor, editors, Hyperbolic Problems: Theory, Numerics, Applications, pages 499–508. Springer, 2003. Ninth International Conference in Pasadena March 2002. [ bib ]
[6] A. Dedner and C. Rohde. FV–schemes for a scalar model problem of radiation magnetohydrodynamics. In R. Herbin and D. Kroöner, editors, Finite Volumes for Complex Applications III: Problems and Perspectives, pages 179–186, Paris, 2002. Hermès Science Publications. [ bib ]
[5] A. Dedner, D. Kröner, I.L. Sofronov, and M. Wesenberg. Absorbing boundary conditions for astrophysical MHD simulations. In E.F. Toro, editor, Godunov Methods: Theory and Applications, pages 217–224. Kluwer Academic/Plenum Publishers, November 2001. [ bib ]
[4] A. Dedner, D. Kröner, C. Rohde, and M. Wesenberg. Godunov–type schemes for the MHD equations. In E.F. Toro, editor, Godunov Methods: Theory and Applications, pages 209–216. Kluwer Academic/Plenum Publishers, November 2001. [ bib ]
[3] A. Dedner and M. Wesenberg. Numerical methods for the real gas MHD equations. In H. Freistühler and G. Warnecke, editors, Hyperbolic Problems: Theory, Numerics, Applications, volume 140 of International Series of Numerical Mathematics, pages 287–296, Basel, 2001. Birkhäuser. Eighth International Conference in Magdeburg, February/March 2000. [ bib ]
[2] A. Dedner, D. Kröner, C. Rohde, and M. Wesenberg. MHD instabilities arising in solar physics: A numerical approach. In H. Freistühler and G. Warnecke, editors, Hyperbolic Problems: Theory, Numerics, Applications, volume 140 of International Series of Numerical Mathematics, pages 277–286, Basel, 2001. Birkhäuser. Eighth International Conference in Magdeburg, February/March 2000. [ bib ]
[1] A. Dedner, C. Rohde, and M. Wesenberg. A MHD–simulation in solar physics. In R. Vilsmeier, F. Benkhaldoun, and D. Hänel, editors, Finite Volumes for Complex Applications II: Problems and Perspectives, pages 491–498, Paris, 1999. Hermès Science Publications. [ bib ]