Zobrazeno 1 - 10
of 159
pro vyhledávání: '"Roos, Hans‐Görg"'
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
Autor:
Roos, Hans-Görg, Schopf, Martin
We consider a system of weakly coupled singularly perturbed convection-diffusion equations with multiple scales. Based on sharp estimates for first order derivatives, Linß [T. Linß, Computing 79 (2007) 23–32.] analyzed the upwind finite-differenc
Externí odkaz:
https://tud.qucosa.de/id/qucosa%3A39046
https://tud.qucosa.de/api/qucosa%3A39046/attachment/ATT-0/
https://tud.qucosa.de/api/qucosa%3A39046/attachment/ATT-0/
Autor:
Roos, Hans-Görg
Almost nothing is known about the layer structure of solutions to singularly perturbed Caputo fractional boundary value problems. We discuss simple convection-diffusion and reaction-diffusion problems.
Externí odkaz:
http://arxiv.org/abs/2209.02993
Autor:
Roos, Hans-Görg
The second edition of the book "Roos, Stynes, Tobiska -- Robust Numerical Methods for Singularly Perturbed Differential Equations" appeared many years ago and was for many years a reliable guide into the world of numerical methods for singularly pert
Externí odkaz:
http://arxiv.org/abs/2209.02994
We consider a singularly perturbed convection-diffusion problem that has in addition a shift term. We show a solution decomposition using asymptotic expansions and a stability result. Based upon this we provide a numerical analysis of high order fini
Externí odkaz:
http://arxiv.org/abs/2207.09218
Autor:
Roos, Hans-Goerg
We propose a new class of layer-adapted meshes for weak boundary layers. Especially for fourth-order problems these meshes are extremely useful.
Externí odkaz:
http://arxiv.org/abs/2204.06188
We consider a singularly perturbed time-dependent problem with a shift term in space. On appropriately defined layer adapted meshes of Dur\'{a}n- and S-type we derive a-priori error estimates for the stationary problem. Using a discontinuous Galerkin
Externí odkaz:
http://arxiv.org/abs/2202.01601