Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Andreas Unterreiter"'
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 18:1829-1844
The stationary, isothermal rotational spinning process of fibers is considered. The investigations are concerned with the case of large Reynolds (δ = 3/ Re ≪ 1) and small Rossby numbers (ε ≪ 1). Modelling the fibers as a Newtonian fluid and app
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::22823acab44626d6c023ec5f7b5825bb
https://doi.org/10.1142/s0218202508003200
https://doi.org/10.1142/s0218202508003200
Autor:
Stefan Volkwein, Andreas Unterreiter
Publikováno v:
Commun. Math. Sci. 5, iss. 1 (2007), 85-111
In this work an optimal control problem for a stationary quantum drift diffusion (QDD) model is analyzed. This QDD model contains four space-dependent observables: The non-negative particle density of electrons, the electrostatic potential, the quant
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b3d83e0cf6fb9fd2162c80bed50ad41
https://doi.org/10.4310/cms.2007.v5.n1.a4
https://doi.org/10.4310/cms.2007.v5.n1.a4
Autor:
Ansgar Jüngel, Andreas Unterreiter
Publikováno v:
Numerische Mathematik. 99:485-508
Uniform lower and upper bounds for positive finite-element approximations to semilinear elliptic equations in several space dimensions subject to mixed Dirichlet-Neumann boundary conditions are derived. The main feature is that the non-linearity may
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2b0704da600f51cee540d9c1051b76ec
https://doi.org/10.1007/s00211-004-0554-5
https://doi.org/10.1007/s00211-004-0554-5
Autor:
Andreas Unterreiter, Anton Arnold
Publikováno v:
Computers & Mathematics with Applications. 46(10-11):1683-1690
In this paper, we study the large time behavior of a fully implicit semidiscretization (in time) of parabolic Fokker-Planck type equations. Using logarithmic Sobolev inequalities exponential decay of the relative entropy (w.r.t. the steady state) is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2aa9e61a819a22fef3a827f4564c1ba9
Publikováno v:
European Journal of Applied Mathematics. 14:181-200
We present an exact residual based error formula in natural norms for a class of transport equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73828104dfe2311bc35a61ca46b8a110
https://doi.org/10.1017/s0956792502004941
https://doi.org/10.1017/s0956792502004941
Publikováno v:
European Journal of Applied Mathematics. 14:165-179
We consider heat transfer processes where radiation in a large number of frequency bands plays a dominant role.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ca4d4df49086fa9570a37d4ef704947
https://doi.org/10.1017/s095679250200493x
https://doi.org/10.1017/s095679250200493x
Autor:
Axel Klar, Andreas Unterreiter
Publikováno v:
SIAM Journal on Numerical Analysis. 40:891-913
An asymptotic preserving numerical scheme (with respect to diffusion scalings) for a linear transport equation is investigated. The scheme is adopted from a class of schemes developed in [S. Jin, L. Pareschi, and G. Toscani, SIAM J. Numer. Anal., 38
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e8b05b9400c4f2064492cfa4489352f
https://doi.org/10.1137/s0036142900375700
https://doi.org/10.1137/s0036142900375700
Publikováno v:
Monatshefte f�r Mathematik. 133:1-82
We analyse the large-time asymptotics of quasilinear (possibly) degenerate parabolic systems in three cases: 1) scalar problems with confinement by a uniformly convex potential, 2) unconfined scalar equations and 3) unconfined systems. In particular
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33f363fc7cb963ca615b870fd5f4cca4
https://doi.org/10.1007/s006050170032
https://doi.org/10.1007/s006050170032
Autor:
Andreas Unterreiter, Jens Struckmeier
Publikováno v:
Applied Mathematics Letters. 14:217-222
The asymptotic behavior of a singular-perturbed two-phase Stefan problem due to slow diffusion in one of the two phases is investigated. In the limit, the model equations reduce to a one-phase Stefan problem. A boundary layer at the moving interface
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e40ef198044eb91be5ba45aca4279d83
https://doi.org/10.1016/s0893-9659(00)00139-7
https://doi.org/10.1016/s0893-9659(00)00139-7
Publikováno v:
Scopus-Elsevier
It is well known that the analysis of the large-time asymptotics of Fokker-Planck type equations by the entropy method is closely related to proving the validity of convex Sobolev inequalities. Here we highlight this connection from an applied PDE po
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb31a52576f2c0ae52c585078f1ba20d
https://doi.org/10.1081/pde-100002246
https://doi.org/10.1081/pde-100002246