Browsing by Author "Kanschat, Guido"
Now showing 1 - 5 of 5
- Results Per Page
- Sort Options
Item Detecting small low emission radiating sources(University of Minnesota. Institute for Mathematics and Its Applications, 2010-12) Allmaras, Moritz; Darrow, David P.; Hristova, Yulia; Kanschat, Guido; Kuchment, PeterItem Error analysis for a monolithic discretization of coupled Darcy and Stokes problems(University of Minnesota. Institute for Mathematics and Its Applications, 2012-04) Girault, Vivette; Kanschat, Guido; Rivière, BéatriceItem Local discontinuous Galerkin methods for the Stokes system(2000-10) Cockburn, Bernardo; Kanschat, Guido; Schotzau, Dominik; Schwab, ChristophItem A multilevel discontinuous Galerkin method(2000-12) Gopalakrishnan, Jayadeep; Kanschat, GuidoA variable V-cycle preconditioner for an interior penalty finite element discretization for elliptic problems is presented. An analysis under a mild regularity assumption shows that the preconditioner is uniform. The interior penalty method is then combined with a discontinuous Galerkin scheme to arrive at a discretization scheme for an advection-diffusion problem, for which an error estimate is proved. A multigrid algorithm for this method is presented, and numerical experiments indicating its robustness with respect to diffusion coefficient are reported.Item Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids(2000-04) Cockburn, Bernardo; Kanschat, Guido; Perugia, Ilaria; Schotzau, Dominik