Zobrazeno 1 - 10
of 674
pro vyhledávání: '"FRANZ, SEBASTIAN"'
We refine the understanding of continuous dependence on coefficients of solution operators under the nonlocal $H$-topology viz Schur topology in the setting of evolutionary equations in the sense of Picard. We show that certain components of the solu
Externí odkaz:
http://arxiv.org/abs/2409.07084
Autor:
Franz, Sebastian, Kopteva, Natalia
Time-fractional parabolic equations with a Caputo time derivative of order $\alpha\in(0,1)$ are discretized in time using continuous collocation methods. For such discretizations, we give sufficient conditions for existence and uniqueness of their so
Externí odkaz:
http://arxiv.org/abs/2403.11847
Autor:
Franz, Sebastian, Kopteva, Natalia
We consider a time-fractional subdiffusion equation with a Caputo derivative in time, a general second-order elliptic spatial operator, and a right-hand side that is non-smooth in time. The presence of the latter may lead to locking problems in our t
Externí odkaz:
http://arxiv.org/abs/2401.01586
Autor:
Bause, Markus, Franz, Sebastian
We study the numerical approximation of a coupled hyperbolic-parabolic system by a family of discontinuous Galerkin space-time finite element methods. The model is rewritten as a first-order evolutionary problem that is treated by the unified abstrac
Externí odkaz:
http://arxiv.org/abs/2311.01264
Autor:
Franz, Sebastian, Liotati, Kleio
We consider a one-dimensional singularly perturbed 4th order problem with the additional feature of a shift term. An expansion into a smooth term, boundary layers and an inner layer yields a formal solution decomposition, and together with a stabilit
Externí odkaz:
http://arxiv.org/abs/2309.12105
Autor:
Franz, Sebastian
We consider evolutionary systems, i.e. systems of linear partial differential equations arising from the mathematical physics. For these systems there exists a general solution theory in exponentially weighted spaces which can be exploited in the ana
Externí odkaz:
http://arxiv.org/abs/2304.12816
A convection-diffusion problem with a large shift in space is considered. Numerical analysis of high order finite element methods on layer-adapted Duran type meshes, as well as on coarser Duran type meshes in places where weak layers appear, is provi
Externí odkaz:
http://arxiv.org/abs/2304.10937