Dietmar Gallistl (University of Twente)
Wednesday, June 13, 2018 - 15:15
Humboldt-Universität, Institut für Mathematik
Rudower Chaussee 25, 12489 Berlin, Raum 2.417, Haus 2
Forschungsseminar "Numerische Mathematik"
Prof. C. Carstensen
A numerical method for approximating a uniformly elliptic oblique derivative problem in two-dimensional simply-connected domains is proposed. The numerical scheme employs a mixed formulation with piecewise affine functions on curved finite element domains. The direct approximation of the gradient of the solution turns the oblique derivative boundary condition into an oblique direction condition. A~priori and a~posteriori error estimates as well as numerical computations on uniform and adaptive meshes are provided.
submitted by S. Schmidt (sschmidt@math.hu-berlin.de, 2093 1820)