Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Fleurianne Bertrand"'
Autor:
Fleurianne Bertrand, Katrin Mang
Publikováno v:
Examples and Counterexamples, Vol 3, Iss , Pp 100098- (2023)
Externí odkaz:
https://doaj.org/article/54f2f2d971614b5da34fba97fc936457
Publikováno v:
Examples and Counterexamples, Vol 2, Iss , Pp 100087- (2022)
Finite element approximations of poroelastic materials are nowadays used within multiple applications. Due to wide variation of possible material parameters, robustness of the considered discretization is important. Within this contribution robust of
Externí odkaz:
https://doaj.org/article/a9d7d37bc6d747158b53d68c237f71ab
Publikováno v:
Examples and Counterexamples, Vol 2, Iss , Pp 100076- (2022)
We continue the investigation on the spectrum of operators arising from the discretization of partial differential equations. In this paper we consider a three field formulation recently introduced for the finite element least-squares approximation o
Externí odkaz:
https://doaj.org/article/8d73a5c6240145d2a154ade76a670ab5
Autor:
Fleurianne Bertrand, Emilie Pirch
Publikováno v:
Computation, Vol 9, Iss 2, p 18 (2021)
This paper investigates numerical properties of a flux-based finite element method for the discretization of a SEIQRD (susceptible-exposed-infected-quarantined-recovered-deceased) model for the spread of COVID-19. The model is largely based on the SE
Externí odkaz:
https://doaj.org/article/73e572bd3b82422d9bcb37f87d5c3c9e
Publikováno v:
PAMM. 23
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::704b04b265d58088346ca7e6fddd6d27
https://doi.org/10.1002/pamm.202200240
https://doi.org/10.1002/pamm.202200240
Publikováno v:
Computational Methods in Applied Mathematics, 23(1), 1-17. De Gruyter
In this paper, the discontinuous Petrov–Galerkin approximation of the Laplace eigenvalue problem is discussed. We consider in particular the primal and ultraweak formulations of the problem and prove the convergence together with a priori error est
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59c69c751135239548ba42617b1a74aa
https://doi.org/10.1515/cmam-2022-0069
https://doi.org/10.1515/cmam-2022-0069
Publikováno v:
Computational Methods in Applied Mathematics, 22(3), 511-528. De Gruyter
In this paper we provide some more details on the numerical analysis and we present some enlightening numerical results related to the spectrum of a finite element least-squares approximation of the linear elasticity formulation introduced recently.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e097dedbb787758463590d004aedd31f
https://doi.org/10.1515/cmam-2022-0044
https://doi.org/10.1515/cmam-2022-0044
Publikováno v:
Oberwolfach Reports. 18:895-929
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e078da3ccd41a6bdc1f9fdeb6a2f3252
https://doi.org/10.4171/owr/2021/16
https://doi.org/10.4171/owr/2021/16
Autor:
Fleurianne Bertrand, Henrik Schneider
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis.
Existing a priori convergence results of the discontinuous Petrov-Galerkin method to solve the problem of linear elasticity are improved. Using duality arguments, we show that higher convergence rates for the displacement can be obtained. Post-proces
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6bcfc9d93a2ac0743e3db9304287bfee
https://doi.org/10.1051/m2an/2022071
https://doi.org/10.1051/m2an/2022071
Autor:
Fleurianne Bertrand, Daniele Boffi
Publikováno v:
Computers and mathematics with applications, 95, 19-27. Elsevier
The first author gratefully acknowledges support by the Deutsche Forschungsgemeinschaft, Germany in the Priority Program SPP 1748 Reliable simulation techniques in solid mechanics, Development of non standard discretization methods, mechanical and ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e46770efc322e7dd357a8aca9297678d
https://doi.org/10.1016/j.camwa.2020.12.013
https://doi.org/10.1016/j.camwa.2020.12.013