Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Michael Růžička"'
Autor:
Luigi C. Berselli, Michael Růžička
Publikováno v:
Opuscula Mathematica, Vol 40, Iss 1, Pp 49-69 (2020)
In this paper we consider the time evolutionary \(p\)-Stokes problem in a smooth and bounded domain. This system models the unsteady motion or certain non-Newtonian incompressible fluids in the regime of slow motions, when the convective term is negl
Externí odkaz:
https://doaj.org/article/521f9296727b418d83c06c1a4c6db9bb
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 31:2297-2343
In this paper, we consider fully discrete approximations of abstract evolution equations, by means of a quasi non-conforming spatial approximation and finite differences in time (Rothe–Galerkin method). The main result is the convergence of the dis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2c04d73eed0d83be96a69a4c88a83b5
https://doi.org/10.1142/s0218202521500494
https://doi.org/10.1142/s0218202521500494
Autor:
Alex Kaltenbach, Michael Růžička
In this paper, we investigate a Local Discontinuous Galerkin (LDG) approximation for systems with balanced Orlicz-structure. We propose a new numerical flux, which yields optimal convergence rates for linear ansatz functions. In particular, our appro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4f44a04a3bd1365c8929618af2e88bf
http://arxiv.org/abs/2204.09984
http://arxiv.org/abs/2204.09984
Autor:
Michael Růžička, Luigi C. Berselli
Publikováno v:
IMA Journal of Numerical Analysis. 42:260-299
In this paper we consider nonlinear parabolic systems with elliptic part, depending only on the symmetric gradient, which can be also degenerate. We prove optimal error estimates for solutions with natural regularity. The main novelty, with respect t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19ba01fe11eb71e38456488d6734eb33
https://doi.org/10.1093/imanum/draa079
https://doi.org/10.1093/imanum/draa079
Autor:
Michael Růžička, Sören Bartels
Publikováno v:
SIAM Journal on Numerical Analysis. 58:811-833
The article addresses the convergence of implicit and semi-implicit, fully discrete approximations of a class of nonlinear parabolic evolution problems. Such schemes are popular in the numerical so...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::708d9f6ff85e347ca57ed7eccba93192
https://doi.org/10.1137/19m126551x
https://doi.org/10.1137/19m126551x
Autor:
Luigi C. Berselli, Michael Růžička
Publikováno v:
Recent Advances in Mechanics and Fluid-Structure Interaction with Applications ISBN: 9783031143236
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::de1c2f7cb4b4dfc0fd1dae266cd7f131
https://doi.org/10.1007/978-3-031-14324-3_1
https://doi.org/10.1007/978-3-031-14324-3_1
Autor:
Alex Kaltenbach, Michael Růžička
In this paper, we study the existence of weak solutions to a steady system that describes the motion of a micropolar electrorheological fluid. The constitutive relations for the stress tensors belong to the class of generalized Newtonian fluids. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6182e16656df85ed99d45189966606a
http://arxiv.org/abs/2112.08026
http://arxiv.org/abs/2112.08026
Autor:
Luigi C. Berselli, Michael Růžička
Publikováno v:
Partial Differential Equations and Applications. 2
In this paper we prove optimal error estimates for {solutions with natural regularity} of the equations describing the unsteady motion of incompressible shear-thinning fluids. We consider a full space-time semi-implicit scheme for the discretization.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cdcd601b753c81c280c4f9742a0793ad
https://doi.org/10.1007/s42985-021-00082-y
https://doi.org/10.1007/s42985-021-00082-y
Autor:
Michael Růžička, Martin Křepela
Publikováno v:
Journal of Mathematical Sciences. 247:957-959
We show existence of a solenoidal vector field u belonging to $$ {W}^{2,q}\left(\Omega \right)\cap {W}_0^{1,s}\left(\Omega \right), $$ s ∈ (1,∞), q ∈ (1, n), such that (δ+|Du|)p−2, p ∈ (1, 2)∪(2,∞), δ ∈ [0, 1], does not belong to th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2872a99fb39b9b76fa317486acd891e7
https://doi.org/10.1007/s10958-020-04849-3
https://doi.org/10.1007/s10958-020-04849-3
Autor:
Michael Růžička
Publikováno v:
Nichtlineare Funktionalanalysis ISBN: 9783662621905
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac508505d32a8a9782080ad3385706db
https://doi.org/10.1007/978-3-662-62191-2_2
https://doi.org/10.1007/978-3-662-62191-2_2