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Kanschat, Guido
Dr. Guido Kanschat
Assistant Professor of Mathematics
Office: 505D Blocker
Building
Phone: (979) 845-7632
Fax: (979) 862-4190
Email: guido.kanschat@iwr.uni-heidelberg.de
Homepage: http://www.numerik.uni-hd.de/~kanschat/
Mailing Address:
Department of Mathematics
Texas A&M
University, 3368 TAMU
College Station, TX
77843-3368
Research Interests
Discontinuous Galerkin Methods
- The LDG method for elliptic problems (with B. Cockburn, I. Perugia, D. Schötzau)
- The LDG method for flow problems (with B. Cockburn, Chr. Schwab, D. Schötzau)
- Strongly divergence free methods for Navier-Stokes equations (with B. Cockburn, D.Schötzau)
- Pointwise a priori anda posteriori estimates for the interior penalty method (with R. Rannacher)
- Coinvestigator in DFG-Schwerpunkt Analysis und Numerik von Erhaltungsgleichungen
Solution Methods and Preconditioners
- Multilevel preconditioning for the interior penalty method and other self-adjoint DG methods (with J. Gopalakrishnan)
- Block preconditioners for the LDG method in saddle point form
- Block preconditioners for DG discretizations of flow problems
- Adaptive projective Newton methods (with H. Hesse)
Scientific Computing
- Finite Element Software deal.II (with W. Bangerth, R. Hartmann)
- Documentation of my own programs (if available) is split into
- The application framework
- The DG-Shop
- The Testsuite
- Parallel methods for radiative transfer
Computational Fluid Dynamics
- Flow with immersed boundaries (with L. Heltai)
- Humidity transfer in electric automotive devices (with Chr. Laux, supported by R. Bosch GmbH)
Radiative Transfer
- Monochromatic radiative transfer in media with varying opacity (linear Boltzmann equation)
- Radiative transfer with Doppler shift in differentially moving media and with partial redistribution (with E. Meinköhn, R. Wehrse)
- Projects
supported in grants SFB 359 and SFB 439
Curriculum Vita