Robert Klöfkorn

Search results

• 2024

  4D-ONIX: A deep learning approach for reconstructing 3D movies from sparse X-ray projections

  Zhang, Y., Yao, Z., Klöfkorn, R., Ritschel, T. & Villanueva Perez, P., 2024, 23 p. (arXiv.org).

  Research output: Working paper/Preprint › Preprint (in preprint archive)

  • Ray Projection 100%
  • X Ray 100%
  • Tomography 100%
  • Algorithms 50%
  • And-States 50%
• 2023

  A Second‑Order Finite Volume Method for Field‑Scale Reservoir Simulation

  Kvashchuk, A., Klöfkorn, R. & Sandve, T. H., 2023, In: Transport in Porous Media. 150, p. 109-129

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Reservoir 100%
  • Reservoir Simulation 100%
  • Models 66%
  • Linear Programming 42%
  • Error 33%

• Theoretical and Practical Aspects of Space-Time DG-SEM Implementations

  Versbach, L. M., Linders, V., Klöfkorn, R. & Birken, P., 2023, In: The SMAI Journal of computational mathematics. 9, p. 61-93

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Spectral Element Method 100%
  • Discrete Solution 33%
  • Coordinate Direction 33%
• 2022

  Extendible and Efficient Python Framework for Solving Evolution Equations with Stabilized Discontinuous Galerkin Methods

  Dedner, A. & Klöfkorn, R., 2022 Jun, In: Communications on Applied Mathematics and Computation. 4, 2, p. 657-696 40 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Partial Differential Equation 100%
  • Evolution Equation 100%
  • Galerkin Method 100%
  • discontinuous galerkin method 100%
  • Discontinuous Galerkin 100%
• 2021

  The DUNE framework: Basic concepts and recent developments

  Bastian, P., Blatt, M., Dedner, A., Dreier, N. A., Engwer, C., Fritze, R., Gräser, C., Grüninger, C., Kempf, D., Klöfkorn, R., Ohlberger, M. & Sander, O., 2021 Jan 1, In: Computers and Mathematics with Applications. 81, p. 75-112 38 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Future Development 100%
  • Multigrid Method 100%
  • Node Level 66%

• The Open Porous Media Flow reservoir simulator

  Rasmussen, A. F., Sandve, T. H., Bao, K., Lauser, A., Hove, J., Skaflestad, B., Klöfkorn, R., Blatt, M., Rustad, A. B., Sævareid, O., Lie, K. A. & Thune, A., 2021 Jan 1, In: Computers and Mathematics with Applications. 81, p. 159-185 27 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Open Source Software 100%
  • Open Innovation 100%
  • Open Data 100%
  • Porous Medium 100%

• An finite volume based multigrid preconditioner for dg-sem for convection-diffusion

  Kasimir, J., Versbach, L. M., Birken, P., Gassner, G. J. & Klöfkorn, R., 2021, Fluid Dynamics and Transport Phenomena. Vol. 600. p. 1-12 12 p. (World Congress in Computational Mechanics and ECCOMAS Congress).

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

  Open Access

  • Discontinuous Galerkin 100%
  • Convection 100%
  • Multigrid 100%
  • Discretization 100%
  • Implicit Time 50%
• 2020

  A python framework for solving advection-diffusion problems

  Dedner, A. & Klöfkorn, R., 2020, Finite Volumes for Complex Applications IX: Methods, Theoretical Aspects, Examples. Klöfkorn, R., Keilegavlen, E., Radu, F. A. & Fuhrmann, J. (eds.). Springer Nature, p. 695-703 9 p. (Springer Proceedings in Mathematics and Statistics; vol. 323).

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

  • Order 100%
  • Partial Differential Equation 100%
  • Parabolic 100%
  • Wide Range 100%
  • Non-Linear Partial Differential Equations 100%

• Finite Volumes for Complex Applications IX: Methods, Theoretical Aspects, Examples

  Klöfkorn, R., Keilegavlen, E., Radu, F. & Fuhrmann, J., 2020, Springer Nature. 775 p. ( Springer Proceedings in Mathematics & Statistics; vol. 323)

  Research output: Book/Report › Book › Research › peer-review
• 2019

  Python framework for hp-adaptive discontinuous Galerkin methods for two-phase flow in porous media

  Dedner, A., Kane, B., Klöfkorn, R. & Nolte, M., 2019 Mar, In: Applied Mathematical Modelling. 67, p. 179-200 22 p.

  Research output: Contribution to journal › Article › peer-review

  • Discontinuous Galerkin 100%
  • Two-Phase Flow 100%
  • Galerkin Method 100%
  • Flow in Porous Medium 100%
  • Discretization 100%

• Adaptive discontinuous galerkin methods for flow in porous media

  Kane, B., Klöfkorn, R. & Dedner, A., 2019, Numerical Mathematics and Advanced Applications ENUMATH 2017. Radu, F. A., Kumar, K., Berre, I., Nordbotten, J. M. & Pop, I. S. (eds.). Springer, p. 367-378 12 p. (Lecture Notes in Computational Science and Engineering; vol. 126).

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

  • Discontinuous Galerkin 100%
  • Flow in Porous Medium 100%
  • Flow Problem 50%
  • Discretization 50%
  • Step Size α 50%

• Comparison of Higher Order Schemes on Complicated Meshes and Reservoirs

  Kvashchuk, A., Klöfkorn, R. & Sandve, T. H., 2019, SPE Reservoir Simulation Symposium. SPE-193839-MS

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding

  • Performance 100%
  • Mesh 100%
  • Modeling 100%
  • Finite Volume Method 100%
  • Order 100%
• 2018

  A weak compatibility condition for Newest Vertex Bisection in any dimension

  Alkämper, M., Gaspoz, F. & Klöfkorn, R., 2018 Jan, In: SIAM Journal on Scientific Computing. 40, 6, p. A3853-A3872

  Research output: Contribution to journal › Article › peer-review

  • Compatibility Condition 100%
  • Vertex 100%
  • Bisection Algorithm 50%
• 2017

  Comparison of linear reconstructions for second-order finite volume schemes on polyhedral grids

  Klöfkorn, R., Kvashchuk, A. & Nolte, M., 2017 Dec 1, In: Computational Geosciences. 21, 5-6, p. 909-919 11 p.

  Research output: Contribution to journal › Article › peer-review

  • Reconstruction 100%
  • Finite Order 100%
  • Mesh 50%
  • Numerical Scheme 50%
  • Transport Process 50%

• Distributed Newest Vertex Bisection

  Alkämper, M. & Klöfkorn, R., 2017 Jun 1, In: Journal of Parallel and Distributed Computing. 104, p. 1-11 11 p.

  Research output: Contribution to journal › Article › peer-review

  • Algorithms 100%
  • Iteration 100%

• Hp–adaptive discontinuous galerkin methods for porous media flow

  Kane, B., Klöfkorn, R. & Gersbacher, C., 2017, Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017. Omnes, P. & Cances, C. (eds.). Springer, p. 447-456 10 p. (Springer Proceedings in Mathematics and Statistics; vol. 200).

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

  • Discontinuous Galerkin 100%
  • Flow Problem 50%
  • Discretization 50%
  • Element Size 50%

• The DUNE-FEM-DG module

  Dedner, A., Girke, S., Klöfkorn, R. & Malkmus, T., 2017, In: Archive of Numerical Software. 5, 1, p. 21-61 41 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
• 2016

  Asynchronous communication in spectral-element and discontinuous Galerkin methods for atmospheric dynamics - A case study using the High-Order Methods Modeling Environment (HOMME-homme-dg-branch)

  Jamroz, B. F. & Klöfkorn, R., 2016 Aug 26, In: Geoscientific Model Development. 9, 8, p. 2881-2892 12 p., 140.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Discontinuous Galerkin 100%
  • Elements 100%
  • Modeling Environment 100%
  • discontinuous galerkin method 100%
  • Scientific Modelling 100%

• A High-Order Multiscale Global Atmospheric Model

  Nair, R. D., Bao, L., Toy, M. D. & Klöfkorn, R., 2016, In: AIAA AVIATION Forum.

  Research output: Contribution to journal › Article › peer-review

• On Efficient Time Stepping using the Discontinuous Galerkin Method for Numerical Weather Prediction

  Dedner, A. & Klöfkorn, R., 2016, Parallel Computing: On the Road to Exascale. IOS Press, Vol. 27. (Advances in Parallel Computing).

  Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

• The Distributed and Unified Numerics Environment, Version 2.4

  Blatt, M., Burchardt, A., Dedner, A., Engwer, C., Fahlke, J., Flemisch, B., Gersbacher, C., Gräser, C., Gruber, F., Grüninger, C., Kempf, D., Klöfkorn, R., Malkmus, T., Müthing, S., Nolte, M., Piatkowski, M. & Sander, O., 2016, In: Archive of Numerical Software. 4, 100, p. 13-29 17 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

• The DUNE-ALUGrid Module.

  Alkämper, M., Dedner, A., Klöfkorn, R. & Nolte, M., 2016, In: Archive of Numerical Software. 4, 1, p. 1-28 28 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
• 2015

  A fast parallel solver for the forward problem in electrical impedance tomography

  Jehl, M., Dedner, A., Betcke, T., Aristovich, K., Klöfkorn, R. & Holder, D., 2015 Jan, In: IEEE Transactions on Biomedical Engineering. 62, 1, p. 126-37 12 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Electrical Impedance 100%
  • Tomography 100%
  • Modeling 66%
  • Simulation Study 33%
  • Imaging Modality 33%

• Horizontally Explicit and Vertically Implicit (HEVI) Time Discretization Scheme for a Discontinuous Galerkin Nonhydrostatic Model

  Bao, L., Klöfkorn, R. & Nair, R. D., 2015, In: Monthly Weather Review. 143, p. 972-990 19 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
• 2014

  Continuous Finite-Elements on Non-Conforming Grids Using Discontinuous Galerkin Stabilization

  Dedner, A., Klöfkorn, R. & Kränkel, M., 2014, Finite Volumes for Complex Applications VII. al., J. F. E. (ed.). Springer Gabler, Vol. 77. p. 207-215 9 p. (Springer Proceedings in Mathematics Statistics).

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

• Efficient Parallel Simulation of Atherosclerotic Plaque Formation Using Higher Order Discontinuous Galerkin Schemes

  Girke, S., Klöfkorn, R. & Ohlberger, M., 2014, Finite Volumes for Complex Applications VII. al., J. F. E. (ed.). Springer Gabler, Vol. 78. p. 617-625 9 p. (Springer Proceedings in Mathematics Statistics).

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

• On discontinuous Galerkin approach for atmospheric flow in the mesoscale with and without moisture

  Schuster, D., Brdar, S., Baldauf, M., Dedner, A., Klöfkorn, R. & Kröner, D., 2014, In: Meteorologische Zeitschrift. 23, 4, p. 449-464 16 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

• Solving the Reactive Compressible Navier-Stokes Equations in a Moving Domain

  Klöfkorn, R. & Nolte, M., 2014, NIC Symposium 2014 - Proceedings. Binder, K., Münster, G. & Kremer, M. (eds.). John von Neumann Institute for Computing Jülich, Vol. 47. 10 p.

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

  Open Access
• 2013

  Comparison of dynamical cores for NWP models: Comparison of COSMO and Dune

  Brdar, S., Baldauf, M., Dedner, A. & Klöfkorn, R., 2013 Jun, In: Theoretical and Computational Fluid Dynamics. 27, 3-4, p. 453-472 20 p.

  Research output: Contribution to journal › Article › peer-review

  • Weather Condition 100%
  • Effectiveness 20%
  • Wave 20%
  • Gravitation 20%
  • Accuracy 20%

• On the use of chemistry-based slow invariant manifolds in discontinuous Galerkin methods for reactive flows

  Dedner, A., Fein, M. D., Klöfkorn, R. & Lebiedz, D., 2013, (Submitted)

  Research output: Other contribution › Miscellaneous › Research
• 2012

  Advances in DUNE

  Dedner, A. (Editor), Flemisch, B. (Editor) & Klöfkorn, R. (Editor), 2012, Springer Gabler.

  Research output: Book/Report › Conference proceeding (editor) › peer-review

• CDG Method for Navier-Stokes Equations

  Brdar, S., Dedner, A. & Klöfkorn, R., 2012, Hyperbolic Problems - Theory, Numerics and Applications. Jiang, S. & Li, T. (eds.). World Scientific Publishing, p. 320-327 8 p.

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

• Compact and stable Discontinuous Galerkin methods for convection-diffusion problems.

  Brdar, S., Dedner, A. & Klöfkorn, R., 2012, In: SIAM Journal on Scientific Computing. 34, 1, p. 263-282 20 p.

  Research output: Contribution to journal › Article › peer-review

• DUNE-FEM: A General Purpose Discretization Toolbox for Parallel and Adaptive Scientific Computing

  Dedner, A., Klöfkorn, R., Nolte, M. & Ohlberger, M., 2012, Advances in DUNE. Dedner, A., Flemisch, B. & Klöfkorn, R. (eds.). Springer, p. 17-31 15 p.

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

• Efficient Matrix-Free Implementation of Discontinuous Galerkin Methods for Compressible Flow Problems

  Klöfkorn, R., 2012, Proceedings of the ALGORITMY 2012. al., A. H. E. (ed.). p. 11-21 11 p.

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

  Open Access

• Performance Pitfalls in the Dune Grid Interface

  Klöfkorn, R. & Nolte, M., 2012, Advances in DUNE. Dedner, A., Flemisch, B. & Klöfkorn, R. (eds.). Springer, p. 45-58 14 p.

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review
• 2011

  3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids

  Eymard, R., Henry, G., Herbin, R., Hubert, F., Klöfkorn, R. & Manzini, G., 2011, Finite Volumes for Complex Applications VI Problems Perspectives. Fort, J., Fürst, J., Halama, J., Herbin, R. & Hubert, F. (eds.). Springer, Vol. 4. p. 895-930 36 p. (Springer Proceedings in Mathematics).

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding

• A Generic Stabilization Approach for Higher Order Discontinuous Galerkin Methods for Convection Dominated Problems

  Dedner, A. & Klöfkorn, R., 2011, In: Journal of Scientific Computing. 47, 3, p. 365-388 24 p.

  Research output: Contribution to journal › Article › peer-review

• Benchmark 3D: The Compact Discontinuous Galerkin 2 Scheme

  Klöfkorn, R., 2011, Finite Volumes for Complex Applications VI Problems Perspectives. Fort, J., Fürst, J., Halama, J., Herbin, R. & Hubert, F. (eds.). Springer, Vol. 4. p. 1023-1033 11 p. (Springer Proceedings in Mathematics).

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

• Compact and Stable Discontinuous Galerkin Methods with Application to Atmospheric Flows

  Brdar, S., Dedner, A. & Klöfkorn, R., 2011, Computational Methods in Science and Engineering: Proceedings of the Workshop SimLabs@KIT. al., I. K. E. (ed.). KIT Scientific Publishing, p. 109-116 8 p.

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

• On the computation of slow manifolds in chemical kinetics via optimization and their use as reduced models in reactive flow systems.

  Dedner, A., Fein, M., Klöfkorn, R., Kröner, D., Lebiedz, D., Siehr, J. & Unger, J., 2011.

  Research output: Contribution to conference › Paper, not in proceeding

• Simulation of Geophysical Problems with DUNE-FEM

  Brdar, S., Dedner, A., Klöfkorn, R., Kränkel, M. & Kröner, D., 2011, Computational Science and High Performance Computing IV. al., E. K. E. (ed.). Springer Gabler, Vol. 115. p. 93-106 14 p.

  Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
• 2010

  A Generic Interface for Parallel and Adaptive Scientific Computing: Abstraction Principles and the DUNE-FEM Module

  Dedner, A., Klöfkorn, R., Nolte, M. & Ohlberger, M., 2010, In: Computing. 90, 3--4, p. 165-196 32 p.

  Research output: Contribution to journal › Article › peer-review

• Higher Order Adaptive and Parallel Simulations Including Dynamic Load Balancing with the Software Package DUNE

  Dedner, A., Klöfkorn, R. & Kröner, D., 2010, High Performance Computing in Science and Engineering '09. al., W. N. E. (ed.). Springer Gabler, p. 229-239 11 p.

  Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
• 2009

  Numerics for Evolution Equations: A general interface based design concept

  Klöfkorn, R., 2009, Albert-Ludwigs-Universität Freiburg.

  Research output: Thesis › Doctoral Thesis (monograph)

  Open Access

• Stabilization for Discontinuous Galerkin Methods Applied to Systems of Conservation Laws

  Dedner, A. & Klöfkorn, R., 2009, Proc. of the 12th International Conference on Hyperbolic Problems, Proceedings of Symposia in Applied Mathematics 67, Part 1, 253-268. al., E. T. E. (ed.).

  Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review
• 2008

  A Generic Grid Interface for Parallel and Adaptive Scientific Computing. Part I: Abstract Framework

  Bastian, P., Blatt, M., Dedner, A., Engwer, C., Klöfkorn, R., Ohlberger, M. & Sander, O., 2008, In: Computing. 82, 2--3, p. 103-119 17 p.

  Research output: Contribution to journal › Article › peer-review

• A Generic Grid Interface for Parallel and Adaptive Scientific Computing. Part II: Implementation and Tests in DUNE

  Bastian, P., Blatt, M., Dedner, A., Engwer, C., Klöfkorn, R., Kornhuber, R., Ohlberger, M. & Sander, O., 2008, In: Computing. 82, 2--3, p. 121-138 18 p.

  Research output: Contribution to journal › Article › peer-review

• Parallel Adaptive Simulation of PEM Fuel Cells

  Klöfkorn, R., Kröner, D. & Ohlberger, M., 2008, Mathematics -- Key Technology for the Future. Krebs, H.-J. & Jäger, W. (eds.). Springer Gabler, p. 235-249 15 p.

  Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

• The compact discontinuous Galerkin method for elliptic problems

  Dedner, A. & Klöfkorn, R., 2008, Finite volumes for complex applications V. ISTE, London, p. 761-776 16 p.

  Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review