Bibliography Guido Kanschat

Papers in Refereed Journals

  1. G. Kanschat and D. Schötzau. Energy norm a-posteriori error estimation for divergence-free discontinuous Galerkin approximations of the Navier-Stokes equations. Int. J. Numer. Methods Fluids, 57(9):1093-1113, 2008. DOI:10.1002/fld.1795
  2. G. Kanschat. Robust smoothers for high order discontinuous Galerkin discretizations of advection-diffusion problems. J. Comput. Appl. Math., 218:53-60, 2008. DOI:10.1016/j.cam.2007.04.032
  3. G. Kanschat. Divergence-free discontinuous Galerkin schemes for the Stokes equations and the MAC scheme. Int. J. Numer. Methods Fluids, 56(7):941-950, 2008. DOI:10.1002/fld.1566
  4. B. Cockburn, G. Kanschat, and D. Schötzau. A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. J. Sci. Comput., 31(1-2):61-73, 2007. DOI:10.1007/s10915-006-9107-7
  5. W. Bangerth, R. Hartmann, and G. Kanschat. deal.II -- a general purpose object oriented finite element library. ACM Trans. Math. Softw., 33(4), 2007. DOI:10.1145/1268776.1268779
  6. G. Kanschat. Block preconditioners for LDG discretizations of linear incompressible flow problems. J. Sci. Comput., 22(1):381-394, 2005. DOI:10.1007/s10915-004-4144-6
  7. B. Cockburn, G. Kanschat, and D. Schötzau. A locally conservative LDG method for the incompressible Navier- Stokes equations. Math. Comput., 74:1067-1095, 2005. URL
  8. B. Cockburn, G. Kanschat, and D. Schötzau. The local discontinuous Galerkin method for linear incompressible fluid flow: A review. Comput. & Fluids, 34(4-5):491-506, 2005. DOI:10.1016/j.compfluid.2003.08.005
  9. G. Kanschat. Multi-level methods for discontinuous Galerkin FEM on locally refined meshes. Comput. & Struct., 82(28):2437-2445, 2004. DOI:10.1016/j.compstruc.2004.04.015
  10. G. Kanschat. Preconditioning methods for local discontinuous Galerkin discretizations. SIAM J. Sci. Comput., 25(3):815-831, 2003. DOI:10.1137/S1064827502410657
  11. J. Gopalakrishnan and G. Kanschat. A multilevel discontinuous Galerkin method. Numer. Math., 95(3):527-550, 2003. DOI:10.1007/s002110200392
  12. B. Cockburn, G. Kanschat, and D. Schötzau. The local discontinuous Galerkin method for the Oseen equations. Math. Comput., 73(246):569-593, 2003. URL
  13. G. Kanschat and R. Rannacher. Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. J. Numer. Math., 10(4):249-274, 2002. URL
  14. B. Cockburn, G. Kanschat, D. Schötzau, and C. Schwab. Local discontinuous Galerkin methods for the Stokes system. SIAM J. Numer. Anal., 40(1):319-343, 2002. DOI:10.1137/S0036142900380121
  15. S. Richling, E. Meinköhn, N. Kryzhevoi, and G. Kanschat. Radiative transfer with finite elements I. basic method and tests. A&A, 380:776-788, 2001. DOI:10.1051/0004-6361:20011411
  16. B. Cockburn, G. Kanschat, I. Perugia, and D. Schötzau. Superconvergence of the local discontinuous Galerkin method for elliptic problems on cartesian grids. SIAM J. Numer. Anal., 39(1):264-285, 2001. DOI:10.1137/S0036142900371544
  17. G. Kanschat and F.-T. Suttmeier. A posteriori error estimates for nonconforming finite element schemes. Calcolo, 36(3):129-141, 1999. DOI:10.1007/s100920050027
  18. G. Kanschat. A robust finite element discretization for radiative transfer problems with scattering. East-West J. Numer. Math., 6(4):265-272, 1998.
  19. C. Führer and G. Kanschat. A posteriori error control in radiative transfer. Computing, 58(4):317-334, 1997. DOI:10.1007/BF02684345

Papers Submitted to Refereed Journals

  1. R. H. W. Hoppe, G. Kanschat, and T. Warburton. Convergence analysis of an adaptive interior penalty discontinuous Galerkin method. SIAM J. Numer. Anal., 2008. to appear. URL
  2. H. K. Hesse and G. Kanschat. Mesh adaptive multiple shooting for partial differential equations. Part I: Linear quadratic optimal control problems. J. Numer. Math., 2008. submitted.

Papers in Refereed Conference Proceedings

  1. J. Gopalakrishnan and G. Kanschat. Multi-level preconditioners for the interior penalty method. In F. Brezzi, A. Buffa, S. Corsaro, and A. Murli, editors, Numerical Mathematics and Advanced Applications: ENUMATH 2001, pages 795-804, Milano, 2003. Springer Italia.
  2. B. Cockburn, G. Kanschat, and D. Schötzau. LDG methods for Stokes flow problems. In F. Brezzi, A. Buffa, S. Corsaro, and A. Murli, editors, Numerical Mathematics and Advanced Applications: ENUMATH 2001, pages 755-764, Milano, 2003. Springer Italia.
  3. R. Wehrse, E. Meinköhn, and G. Kanschat. A review of Heidelberg radiative transfer equation solutions. In P. Stee, editor, Radiative Transfer and Hydrodynamics in Astrophysics, pages 13-30. EDP Sciences, 2002.
  4. G. Kanschat and F.-T. Suttmeier. A posteriori error estimates in the case of insufficient regularity of the discrete space. In B. Cockburn, G. E. Karniadakis, and C.-W. Shu, editors, Discontinuous Galerkin Methods, volume 11, pages 349-354. Springer, 2000.
  5. G. Kanschat. Solution of multi-dimensional radiative transfer problems on parallel computers. In P. Bjørstad and M. Luskin, editors, Parallel Solution of Partial Differential Equations, volume 120 of IMA Volumes in Mathematics and its Applications, pages 85-96, New York, 2000. Springer.
  6. R. Wehrse and G. Kanschat. Radiative fluxes and forces in non-spherical winds. In B. Wolf, O. Stahl, and A. W. Fullerton, editors, Variable and Non-spherical Stellar Winds in Luminous Hot Stars, pages 144-150. Springer, 1999.

Papers in Conference Proceedings (not refereed)

  1. G. Kanschat. Preconditioning discontinuous Galerkin saddle point systems. In K. J. Bathe, editor, Computational Fluid and Solid Mechanics 2003, pages 2016-2018. Elsevier, 2003.
  2. J. Gopalakrishnan and G. Kanschat. Application of unified DG analysis to preconditioning DG methods. In K. J. Bathe, editor, Computational Fluid and Solid Mechanics 2003, pages 1943-1945. Elsevier, 2003.
  3. B. Cockburn, G. Kanschat, and D. Schötzau. The local discontinuous Galerkin method in incompressible fluid flow. In H. A. Mang, F. G. Rammerstorfer, and J. Eberhardsteiner, editors, Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V). Vienna University of Technology, 2002.
  4. G. Kanschat. Parallel computation of multi-dimensional neutron and photon transport in inhomogeneous media. In H.-J. Bungartz, F. Durst, and C. Zenger, editors, High Performance Scientific and Engineering Computing, volume 8, pages 431-440. Springer, 1999.
  5. G. Kanschat. New algorithms for radiative transfer in accretion disks and surroundings. In D. T. Wickramasinghe, G. V. Bicknell, and L. Ferrario, editors, Accretion Phenomena and Related Outflows; IAU Colloquium 163, pages 736-737, San Francisco, California, 1997. Astronomical Society of the Pacific.
  6. G. Kanschat. Efficient and reliable solution of multi-dimensional radiative transfer problems. In F. Karsch, B. Monien, and H. Satz, editors, Multiscale Phenomena and Their Simulation, pages 245-249, Singapore, 1997. World Scientific.
  7. G. Kanschat. Parallel adaptive algorithms for radiative transfer problems. In P. Fritzson and L. Finmo, editors, Parallel Programming and Applications, volume 45 of Transputer and OCCAM Engineering Series, pages 238-243, Amsterdam, 1995. IOS Press.

Papers in Collections

  1. G. Kanschat, E. Meinköhn, R. Rannacher, and R. Wehrse. The radiation field and its transfer equation. In G. Kanschat, E. Meinköhn, R. Rannacher, and R. Wehrse, editors, Numerical Methods for Multi-Dimensional Radiative Transfer. Springer, 2008. to appear.
  2. G. Kanschat. Solution of radiative transfer problems with finite elements. In G. Kanschat, E. Meinköhn, R. Rannacher, and R. Wehrse, editors, Numerical Methods for Multi-Dimensional Radiative Transfer. Springer, 2008. to appear.
  3. E. Meinköhn, G. Kanschat, R. Rannacher, and R. Wehrse. Numerical methods for multidimensional radiative transfer. In J. Jäger, R. Rannacher, and J. Warnatz, editors, Reactive Flows, Diffusion and Transport. Springer, Berlin, 2006.

Books

  1. G. Kanschat, E. Meinköhn, R. Rannacher, and R. Wehrse, editors. Numerical Methods for Multi-Dimensional Radiative Transfer. Springer, 2008. to appear.
  2. G. Kanschat. Discontinuous Galerkin Methods for Viscous Flow. Deutscher Universitätsverlag, Wiesbaden, 2007.
  3. H. G. Bock, F. Brezzi, R. Glowinsky, G. Kanschat, Y. A. Kuznetsov, J. Périaux, and R. Rannacher, editors. ENUMATH 97, Proceedings of the 2nd European Conference on Numerical Mathematics and Advanced Applications, Singapore, 1998. World Scientific.

Software Manuals

  1. W. Bangerth, R. Hartmann, and G. Kanschat. deal.II Differential Equations Analysis Library, Technical Reference, 6.0 edition, 2007. first edition 1999. URL
  2. W. Bangerth and G. Kanschat. Concepts for object-oriented finite element software - the deal.II library. Preprint 1999-43, SFB 359, Heidelberg, 1999. URL

Miscellaneous

  1. G. Kanschat and E. Meinköhn. Multi-model preconditioning for radiative transfer problems. Preprint 2004-33, SFB 359, Heidelberg, 2004.
  2. G. Kanschat. Discontinuous Galerkin Finite Element Methods for Advection-Diffusion Problems. Habilitationsschrift, Universität Heidelberg, 2003.
  3. G. Kanschat. Parallel and Adaptive Galerkin Methods for Radiative Transfer Problems. Dissertation, Universität Heidelberg, 1996. Preprint SFB 359, 1996-29. URL
guido kanschat 2008-08-19