Dedner, Andreas and Pryer, Tristan (2022) Discontinuous Galerkin methods for a class of nonvariational problems. Communications on Applied Mathematics and Computation, 4 . pp. 634-656. doi:10.1007/s42967-021-00133-6 ISSN 2096-6385.

Dedner, Andreas and Hodson, Alice (2021) Robust nonconforming virtual element methods for general fourth order problems with varying coefficients. IMA Journal of Numerical Analysis . drab003. doi:10.1093/imanum/drab003 ISSN 0272-4979.

Bastian, Peter, Blatt, Markus, Dedner, Andreas, Dreier, Nils-Arne, Engwer, Christian, Fritze, René, Gräser, Carsten, Grüninger, Christoph, Kempf, Dominic, Klöfkorn, Robert, Ohlberger, Mario and Sander, Oliver (2021) The DUNE framework : basic concepts and recent developments. Computers & Mathematics with Applications, 81 . pp. 75-112. doi:10.1016/j.camwa.2020.06.007 ISSN 0898-1221.

Stinner, Björn, Dedner, Andreas and Nixon, Adam (2020) A finite element method for a fourth order surface equation with application to the onset of cell blebbing. Frontiers in Applied Mathematics and Statistics, 6 . 21. doi:10.3389/fams.2020.00021 ISSN 2297-4687.

Dedner, Andreas, Giesselmann, Jan, Pryer, Tristan and Ryan, Jennifer K. (2020) Residual estimates for post-processors in elliptic problems. Journal of Scientific Computing, 88 . 34. doi:10.1007/s10915-021-01502-2 ISSN 0885-7474.

Dedner, Andreas, Kane, Birane, Klöfkorn, Robert and Nolte, Martin (2019) Python framework for HP adaptive discontinuous Galerkin methods for two phase flow in porous media. Applied Mathematical Modelling, 67 . pp. 179-200. doi:10.1016/j.apm.2018.10.013 ISSN 0307-904X.

Dedner, Andreas, Ortner, Christoph and Wu, H. (2017) Analysis of patch-test consistent atomistic-to-continuum coupling with higher-order finite elements. ESAIM: Mathematical Modelling and Numerical Analysis, 51 (6). pp. 2263-2288. doi:10.1051/m2an/2017013 ISSN 0764-583X.

Dedner, Andreas and Madhavan, Pravin (2016) Adaptive discontinuous Galerkin methods on surfaces. Numerische Mathematik, 132 (2). pp. 369-398. doi:10.1007/s00211-015-0719-4 ISSN 0029-599X.

Brett, Charles, Dedner, Andreas and Elliott, Charles (2016) Optimal control of elliptic PDEs at points. IMA Journal of Numerical Analysis, 36 (3). pp. 1015-1050. doi:10.1093/imanum/drv040 ISSN 0272-4979.

Dedner, Andreas and Giesselmann, Jan (2016) A posteriori analysis of fully discrete method of lines DG schemes for systems of conservation laws. SIAM Journal on Numerical Analysis, 54 (6). pp. 3523-3549. doi:10.1137/15M1046265 ISSN 0036-1429.

Dedner, Andreas, Müller, Eike and Scheichl, Robert (2015) Efficient multigrid preconditioners for atmospheric flow simulations at high aspect ratio. International Journal for Numerical Methods in Fluids, 80 (1). pp. 76-102. doi:10.1002/fld.4072 ISSN 0271-2091.

Antonietti, Paola F., Dedner, Andreas, Madhavan, Pravin, Stangalino, Simone, Stinner, Björn and Verani, Marco (2015) High order discontinuous Galerkin methods on surfaces. SIAM Journal on Numerical Analysis, 53 (2). pp. 1145-1171. doi:10.1137/140957172 ISSN 0036-1429.

Jehl, Markus, Dedner, Andreas, Betcke, Timo, Aristovich, Kirill, Klöfkorn, Robert and Holder, David (2014) A fast parallel solver for the forward problem in electrical impedance tomography. IEEE Transactions on Biomedical Engineering, Volume 62 (Number 1). pp. 126-137. doi:10.1109/TBME.2014.2342280 ISSN 0018-9294.

Brett, Charles E. A., Elliott, Charles M. and Dedner, Andreas (2014) Phase field methods for binary recovery. Optimization with PDE Constraints, 101 . pp. 25-63. doi:10.1007/978-3-319-08025-3_2 ISSN 1439-7358.

Albrecht, Thomas, Dedner, Andreas, Lüthi, Marcel and Vetter, Thomas (2013) Finite element surface registration incorporating curvature, volume preservation, and statistical model information. Computational and Mathematical Methods in Medicine, Volume 2013 (Article number 674273). pp. 1-14. doi:10.1155/2013/674273 ISSN 1748-670X.

Brdar, Slavko, Baldauf, Michael, Dedner, Andreas and Klöfkorn, Robert (2013) Comparison of dynamical cores for NWP models : comparison of COSMO and Dune. Theoretical and Computational Fluid Dynamics, Volume 27 (Number 3-4). pp. 453-472. doi:10.1007/s00162-012-0264-z ISSN 0935-4964.

Dedner, Andreas, Madhavan, Pravin and Stinner, Björn (2013) Analysis of the discontinuous Galerkin method for elliptic problems on surfaces. IMA Journal of Numerical Analysis, Volume 33 (Number 3). pp. 952-973. doi:10.1093/imanum/drs033 ISSN 0272-4979.

Dedner, Andreas and Flemisch, Bernd and Klöfkorn, Robert, eds. (2012) Advances in DUNE : proceedings of the DUNE User Meeting, held in October 6th-8th 2010 in Stuttgart, Germany. Berlin ; New York: Springer. ISBN 9783642285882

Brdar, S., Dedner, Andreas and Klöfkorn, R. (2012) Compact and stable discontinuous Galerkin methods for convection-diffusion problems. SIAM Journal on Scientific Computing, Vol.34 (No.1). A263. doi:10.1137/100817528 ISSN 10648275.

Dedner, Andreas and Nolte, Martin (2012) Construction of local finite element spaces using the generic reference elements. Advances in Dune . pp. 3-16. doi:10.1007/978-3-642-28589-9_1

Dedner, Andreas, Klöfkorn, Robert, Nolte, Martin and Ohlberger, Mario (2012) Dune-Fem : a general purpose discretization toolbox for parallel and adaptive scientific computing. In: Advances in DUNE, Stuttgart, Germany, 6–8 Oct 2010. Published in: Advances in DUNE pp. 17-31. ISBN 9783642285882. doi:10.1007/978-3-642-28589-9_2

Dedner, Andreas, Kröner, Dietmar and Shokina, Nina (2011) Adaptive modelling of two-dimensional shallow water flows with wetting and drying. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Vol.115 . pp. 1-15. doi:10.1007/978-3-642-17770-5_1 ISSN 1612-2909.

Dedner, Andreas and Klöfkorn, Robert (2011) A Generic stabilization approach for higher order discontinuous galerkin methods for convection dominated problems. Journal of Scientific Computing, Volume 47 (Number 3). pp. 365-388. doi:10.1007/s10915-010-9448-0 ISSN 0885-7474.

Brdar, Slavko, Dedner, Andreas, Klöfkorn, Robert, Kränkel, Mirko and Kröner, Dietmar (2011) Simulation of geophysical problems with DUNE-FEM. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Vol.115 . pp. 93-106. doi:10.1007/978-3-642-17770-5_8 ISSN 1612-2909.

Dedner, Andreas, Klöfkorn, Robert, Nolte, Martin and Ohlberger, Mario (2010) A generic interface for parallel and adaptive discretization schemes : abstraction principles and the Dune-Fem module. Computing, Vol.90 (No.3-4). pp. 165-196. doi:10.1007/s00607-010-0110-3 ISSN 0010-485X.

Dedner, Andreas, Klöfkorn, Robert and Kröner, Dietmar (2010) Higher order adaptive and parallel simulations including dynamic load balancing with the software package DUNE. In: Nagel, Wolfgang E. and Kráeoner, Dietmar B. and Resch, Michael M., (eds.) High Performance Computing in Science and Engineering '09. Berlin ; Heidelberg: Springer-Verlag, pp. 229-239. ISBN 9783642046650

Bastian, P., Blatt, M., Dedner, Andreas, Engwer, C., Klöfkorn, R., Ohlberger, M. and Sander, O. (2008) A generic grid interface for parallel and adaptive scientific computing. Part I : abstract framework. Computing, Vol.82 (No.2-3). pp. 103-119. doi:10.1007/s00607-008-0003-x ISSN 0010-485X.

Bastian, P., Blatt, M., Dedner, Andreas, Engwer, C., Klöfkorn, R., Kornhuber, R., Ohlberger, M. and Sander, O. (2008) A generic grid interface for parallel and adaptive scientific computing. Part II : implementation and tests in DUNE. Computing, Vol.82 (No.2-3). pp. 121-138. doi:10.1007/s00607-008-0004-9 ISSN 0010-485X.

Dedner, Andreas and Klöfkorn, Robert (2008) Stabilization for discontinuous Galerkin methods applied to systems of conservation laws. In: 12th international conference on hyperbolic problems, University of Maryland, College Park, 9-13 Jun 2008. Published in: Hyperbolic problems : theory, numerics and applications : plenary and invited talks, Vol.67 (No.1). pp. 253-268. ISSN 9780821847299.

Dedner, Andreas and Klöfkorn, Robert (2008) The compact discontinuous Galerkin method for elliptic problems. In: (FVCA5) 5th International Symposium on Finite Volumes for Complex Applications - Problems and Perspectives, Aussois, France, 8-13 Jun 2008. Published in: Finite Volumes for Complex Applications V pp. 761-776. ISSN 9781848210356.