Publications

    dealii Software

  1. Bangerth, W., Heister, T. & Kanschat, G.
    deal.II Differential Equations Analysis Library, Technical Reference
    , manual. 2013
    URL
  2. W. Bangerth, T. Heister, L. Heltai, G. Kanschat, M. Kronbichler, M. Maier, B. Turcksin & T. D. Young
    The deal.II Library, Version 8.1
    arXiv preprint. 2013
    URL

    3. Articles

  3. Kanschat, G. & Ragusa, J. C.
    A Robust Multigrid Preconditioner for SNDG Approximation of Monochromatic, Isotropic Radiation Transport Problems
    SIAM J. Sci. Comput. 36(5) , pp.2326-2345. 2014
  4. Girault, V., Kanschat, G. & Rivière, B.
    Error analysis for a monolithic discretization of coupled Darcy and Stokes problems
    J. Numer. Math. 22(2) , pp.109-142. 2014
  5. Kanschat, G. & Sharma, N.
    Divergence-conforming Discontinuous Galerkin Methods and C0Interior Penalty Methods
    SIAM J. Numer. Anal. 52(4) , pp.1822-1842. 2014
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  6. Allmaras, M., Darrow, D., Hristova, Y., Kanschat, G. & Kuchment, P.
    Detecting small low emission radiating sources
    Inverse Problems and Imaging 7(1) , pp.47-79. 2013
  7. Girault, V., Kanschat, G. & Rivière, B.
    On the coupling of incompressible Stokes or Navier-Stokes and Darcy flows through porous media
    in Ferreira, J. A. and Barbeiro, S. and Pena, G. and Wheeler, M. F. (ed.)Modelling and Simulation in Fluid Dynamics in Porous Media, pp.1-25. 2013
  8. Morel, J. E., Ragusa, J. C., Adams, M. L. & Kanschat, G.
    Asymptotic PN-equivalent SN+1equations
    Transport Theory Stat. Phys. 42(1) , pp.3-20. 2013
  9. Zedler, S., Kanschat, G., Hoteit, I. & Korty, R.
    Estimation of the drag coefficient from the upper ocean response to a hurricane: a variational data assimilation approach.
    Ocean Modelling 68, pp.51-71. 2013
  10. Ragusa, J., Guermond, J.-L. & Kanschat, G.
    A robust Sn-DG-approximation for radiation transport in optically thick and diffusive regimes
    J. Comput. Phys. 231(4) , pp.1947–-1962. 2012
  11. Zedler, S. E., Kanschat, G., Korty, R. & Hoteit, I.
    A new approach for the determination of the drag coefficient from the upper ocean response to a tropical cyclone: a feasibility study.
    J. Oceanography 68(2) , pp.227-241. 2012
  12. Janssen, B. & Kanschat, G.
    Adaptive multilevel methods with local smoothing for H1- and Hcurl-conforming high order finite element methods
    SIAM J. Sci. Comput. 33(4) , pp.2095-2114. 2011
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  13. Rivera-Rivera, L., Wang, Z., McElmurry, B., Lucchese, R., Bevan, J. & Kanschat, G.
    Morphing a Vibrationally-Complete Ground State Potential for the Hydrogen Bond OC-HF
    Chem. Phys. 390(1) , pp.42-50. 2011
  14. Guermond, J.-L. & Kanschat, G.
    Asymptotic analysis of upwind DG approximation of the radiative transport equation in the diffusive limit
    SIAM J. Numer. Anal. 48(1) , pp.53-78. 2010
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  15. G. Kanschat & B. Rivière
    A strongly conservative finite element method for the coupling of Stokes and Darcy flow
    J. Comput. Phys. 229, pp.5933-5943. 2010
  16. Cockburn, B., Kanschat, G. & Schötzau, D.
    An Equal-order DG Method for the Incompressible Navier-Stokes Equations
    J. Sci. Comput. 40(1-3) , pp.188-210. 2009
  17. Hesse, H. K. & Kanschat, G.
    Mesh Adaptive Multiple Shooting for Partial Differential Equations. Part I: Linear Quadratic Optimal Control Problems
    J. Numer. Math. 17(3) , pp.195-217. 2009
  18. Hoppe, R. H. W., Kanschat, G. & Warburton, T.
    Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method
    SIAM J. Numer. Anal. 47(1) , pp.534-550. 2008
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  19. Kanschat, G.
    Divergence-free discontinuous Galerkin schemes for the Stokes equations and the MAC scheme
    Int. J. Numer. Methods Fluids 56(7) , pp.941-950. 2008
  20. Kanschat, G.
    Robust smoothers for high order discontinuous Galerkin discretizations of advection-diffusion problems
    J. Comput. Appl. Math. 218, pp.53-60. 2008
  21. Kanschat, G.
    Solution of Radiative Transfer Problems with Finite Elements
    in Kanschat, G. and Meinköhn, E. and Rannacher, R. and Wehrse, R. (ed.)Numerical Methods for Multi-Dimensional Radiative Transfer, Springer, pp.49-98. 2008
  22. Kanschat, G., Meinköhn, E., Rannacher, R. & Wehrse, R.
    The Radiation Field and its Transfer Equation
    in Kanschat, G. and Meinköhn, E. and Rannacher, R. and Wehrse, R. (ed.)Numerical Methods for Multi-Dimensional Radiative Transfer, Springer, pp.1-18. 2008
  23. Kanschat, G. & Schötzau, D.
    Energy norm a-posteriori error estimation for divergence-free discontinuous Galerkin approximations of the Navier-Stokes equations
    Int. J. Numer. Methods Fluids 57(9) , pp.1093-1113. 2008
  24. Bangerth, W., Hartmann, R. & Kanschat, G.
    deal.II — a General Purpose Object Oriented Finite Element Library
    ACM Trans. Math. Softw. 33(4) . 2007
  25. Cockburn, B., Kanschat, G. & Schötzau, D.
    A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
    J. Sci. Comput. 31(1-2) , pp.61-73. 2007
  26. Meinköhn, E., Kanschat, G., Rannacher, R. & Wehrse, R.
    Numerical Methods for Multidimensional Radiative Transfer
    in W. Jäger and R. Rannacher and J. Warnatz (ed.)Reactive Flows, Diffusion and Transport, Springer, Berlin, pp.485-526. 2006
  27. Cockburn, B., Kanschat, G. & Schötzau, D.
    A locally conservative LDG method for the incompressible Navier-Stokes equations
    Math. Comput. 74, pp.1067-1095. 2005
  28. Cockburn, B., Kanschat, G. & Schötzau, D.
    The local discontinuous Galerkin method for linear incompressible fluid flow: A review
    Comput. & Fluids 34(4-5) , pp.491-506. 2005
  29. Kanschat, G.
    Block Preconditioners for LDG Discretizations of Linear Incompressible Flow Problems
    J. Sci. Comput. 22(1) , pp.381-394. 2005
  30. Kanschat, G.
    Multi-level methods for discontinuous Galerkin FEM on locally refined meshes
    Comput. & Struct. 82(28) , pp.2437-2445. 2004
  31. Kanschat, G. & Meinköhn, E.
    Multi-model preconditioning for radiative transfer problems
    , techreport, SFB 359. 2004
  32. Cockburn, B., Kanschat, G. & Schötzau, D.
    The Local Discontinuous Galerkin Method for the Oseen Equations
    Math. Comput. 73(246) , pp.569-593. 2003
  33. Cockburn, B., Kanschat, G. & Schötzau, D.
    LDG methods for Stokes flow problems
    in Brezzi, F. and Buffa, A. and Corsaro, S. and Murli, A. (ed.)Numerical Mathematics and Advanced Applications: ENUMATH 2001, Springer Italia, Milano, pp.755-764. 2003
  34. Gopalakrishnan, J. & Kanschat, G.
    A Multilevel Discontinuous Galerkin Method
    Numer. Math. 95(3) , pp.527-550. 2003
  35. Gopalakrishnan, J. & Kanschat, G.
    Multi-level Preconditioners for the interior penalty method
    in Brezzi, F. and Buffa, A. and Corsaro, S. and Murli, A. (ed.)Numerical Mathematics and Advanced Applications: ENUMATH 2001, Springer Italia, Milano, pp.795-804. 2003
  36. Gopalakrishnan, J. & Kanschat, G.
    Application of unified DG analysis to preconditioning DG methods
    in Bathe, K. J. (ed.)Computational Fluid and Solid Mechanics 2003, Elsevier, pp.1943-1945. 2003
  37. Kanschat, G.
    Preconditioning Methods for local discontinuous Galerkin Discretizations
    SIAM J. Sci. Comput. 25(3) , pp.815-831. 2003
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  38. Kanschat, G.
    Preconditioning discontinuous Galerkin saddle point systems
    in Bathe, K. J. (ed.)Computational Fluid and Solid Mechanics 2003, Elsevier, pp.2016-2018. 2003
  39. Cockburn, B., Kanschat, G. & Schötzau, D.
    The local discontinuous Galerkin method in incompressible fluid flow
    in Mang, H. A. and Rammerstorfer, F. G. and Eberhardsteiner, J. (ed.)Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), Vienna University of Technology. 2002
  40. Cockburn, B., Kanschat, G., Schötzau, D. & Schwab, C.
    Local discontinuous Galerkin methods for the Stokes system
    SIAM J. Numer. Anal. 40(1) , pp.319-343. 2002
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  41. Kanschat, G. & Rannacher, R.
    Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems
    J. Numer. Math. 10(4) , pp.249-274. 2002
    URL
  42. Wehrse, R., Meinköhn, E. & Kanschat, G.
    A Review of Heidelberg Radiative Transfer Equation Solutions
    in Stee, P. (ed.)Radiative Transfer and Hydrodynamics in Astrophysics, EDP Sciences, pp.13-30. 2002
  43. Cockburn, B., Kanschat, G., Perugia, I. & Schötzau, D.
    Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
    SIAM J. Numer. Anal. 39(1) , pp.264-285. 2001
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  44. Richling, S., Meinköhn, E., Kryzhevoi, N. & Kanschat, G.
    Radiative Transfer with Finite Elements I. Basic Method and Tests
    A&A 380, pp.776-788. 2001
  45. Kanschat, G.
    Solution of Multi-Dimensional Radiative Transfer Problems on Parallel Computers
    in Bjørstad, P. and Luskin, M. (ed.)Parallel Solution of Partial Differential Equations, Springer, New York, pp.85-96. 2000
  46. Kanschat, G. & Suttmeier, F.-T.
    A Posteriori Error Estimates in the Case of Insufficient Regularity of the Discrete Space
    in Cockburn, B. and Karniadakis, G. E. and Shu, C.-W. (ed.)Discontinuous Galerkin Methods, Springer, pp.349-354. 2000
  47. Bangerth, W. & Kanschat, G.
    Concepts for Object-Oriented Finite Element Software - the deal.II library
    , techreport, SFB 359. 1999
    URL
  48. Kanschat, G.
    Parallel Computation of Multi-dimensional Neutron and Photon Transport in Inhomogeneous Media
    in Bungartz, H.-J. and Durst, F. and Zenger, C. (ed.)High Performance Scientific and Engineering Computing, Springer, pp.431-440. 1999
  49. Kanschat, G. & Suttmeier, F.-T.
    A Posteriori Error Estimates for Nonconforming Finite Element Schemes
    Calcolo 36(3) , pp.129-141. 1999
  50. Wehrse, R. & Kanschat, G.
    Radiative Fluxes and Forces in Non-Spherical Winds
    in Wolf, B. and Stahl, O. and Fullerton, A. W. (ed.)Variable and Non-spherical Stellar Winds in Luminous Hot Stars, Springer, pp.144-150. 1999
  51. Kanschat, G.
    A robust finite element discretization for radiative transfer problems with scattering
    East-West J. Numer. Math. 6(4) , pp.265-272. 1998
  52. Führer, C. & Kanschat, G.
    A Posteriori Error Control in Radiative Transfer
    Computing 58(4) , pp.317-334. 1997
  53. Kanschat, G.
    Efficient and Reliable Solution of Multi-Dimensional Radiative Transfer Problems
    in Karsch, F. and Monien, B. and Satz, H. (ed.)Multiscale Phenomena and Their Simulation, World Scientific, Singapore, pp.245-249. 1997
  54. Kanschat, G.
    New Algorithms for Radiative Transfer in Accretion Disks and Surroundings
    in Wickramasinghe, D. T. and Bicknell, G. V. and Ferrario, L. (ed.)Accretion Phenomena and Related Outflows; IAU Colloquium 163, Astronomical Society of the Pacific, San Francisco, California, pp.736-737. 1997
  55. Kanschat, G.
    Parallel Adaptive Algorithms for Radiative Transfer Problems
    in Fritzson, P. and Finmo, L. (ed.)Parallel Programming and Applications, IOS Press, Amsterdam, pp.238-243. 1995

    56. Theses

  56. Kanschat, G.
    Parallel and Adaptive Galerkin Methods for Radiative Transfer Problems
    , phdthesis. 1996
    URL
  57. Kanschat, G.
    Discontinuous Galerkin Finite Element Methods for Advection-Diffusion Problems
    , phdthesis. 2003
  58. Kanschat, G.
    Discontinuous Galerkin Methods for Viscous Flow, Deutscher Universitätsverlag, Wiesbaden. 2007

    59. Books edited

  59. Kanschat, G. and Meinköhn, E. and Rannacher, R. and Wehrse, R. (ed.)
    Numerical Methods for Multi-Dimensional Radiative Transfer, Springer. 2009
    URL
  60. Bock, H. G. and Brezzi, F. and Glowinsky, R. and Kanschat, G. and Kuznetsov, Y. A. and Périaux, J. and Rannacher, R. (ed.)
    ENUMATH 97, Proceedings of the 2nd European Conference on Numerical Mathematics and Advanced Applications, World Scientific, Singapore. 1998

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