Search

Your search keyword '"Feistauer, Miloslav"' showing total 2 results
Start Over Author "Feistauer, Miloslav" Publication Year Range Last 3 years
2 results on '"Feistauer, Miloslav"'

2. Regularity results and numerical solution by the discontinuous Galerkin method to semilinear parabolic initial boundary value problems with nonlinear Newton boundary conditions in a polygonal space-time cylinder.

Author

Balázsová, Monika, Feistauer, Miloslav, and Sändig, Anna-Margarete

Subjects
*NONLINEAR boundary value problems, *INITIAL value problems, *GALERKIN methods, *SEMILINEAR elliptic equations, *SPACETIME, *NONLINEAR theories
Abstract

In this note we consider a parabolic evolution equation in a polygonal space-time cylinder. We show, that the elliptic part is given by a m-accretive mapping from Lq(Ω) → Lq(Ω). Therefore we can apply the theory of nonlinear semigroups in Banach spaces in order to get regularity results in time and space. The second part of the paper deals with the numerical solution of the problem. It is dedicated to the application of the space-time discontinuous Galerkin method (STDGM). It means that both in space as well as in time discontinuous piecewise polynomial approximations of the solution are used. We concentrate to the theoretical analysis of the error estimation. [ABSTRACT FROM AUTHOR]

Published
2023
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results