Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Endtmayer, Bernhard"'
Publikováno v:
Comptes Rendus. Mécanique, Vol , Iss , Pp 1-23 (2023)
In this work, we develop a posteriori error control for a generalized Boussinesq model in which thermal conductivity and viscosity are temperature-dependent. Therein, the stationary Navier–Stokes equations are coupled with a stationary heat equatio
Externí odkaz:
https://doaj.org/article/eaa56f1b50f6469b8a9bf9da262a593b
Autor:
Endtmayer, Bernhard
In this work, we apply multi-goal oriented error estimation to the finite element method. In particular, we use the dual weighted residual method and apply it to a model problem. This model problem consist of locally different coercive partial differ
Externí odkaz:
http://arxiv.org/abs/2405.18567
In this work, we develop adaptive schemes using goal-oriented error control for a highly nonlinear flow temperature model with temperature dependent density. The dual-weighted residual method for computing error indicators to steer mesh refinement an
Externí odkaz:
http://arxiv.org/abs/2404.01823
Publikováno v:
Advances in Applied Mechanics, volume 59, chapter 2, 2024
This work reviews goal-oriented a posteriori error control, adaptivity and solver control for finite element approximations to boundary and initial-boundary value problems for stationary and non-stationary partial differential equations, respectively
Externí odkaz:
http://arxiv.org/abs/2404.01738
We consider goal-oriented adaptive space-time finite-element discretizations of the parabolic heat equation on completely unstructured simplicial space-time meshes. In some applications, we are interested in an accurate computation of some possibly n
Externí odkaz:
http://arxiv.org/abs/2401.17237
We derive efficient and reliable goal-oriented error estimations, and devise adaptive mesh procedures for the finite element method that are based on the localization of a posteriori estimates. In our previous work [SIAM J. Sci. Comput., 42(1), A371-
Externí odkaz:
http://arxiv.org/abs/2003.08999
In this work, we consider an optimal control problem subject to a nonlinear PDE constraint and apply it to the regularized $p$-Laplace equation. To this end, a reduced unconstrained optimization problem in terms of the control variable is formulated.
Externí odkaz:
http://arxiv.org/abs/1903.02799
In this work, we derive two-sided a posteriori error estimates for the dual-weighted residual (DWR) method. We consider both single and multiple goal functionals. Using a saturation assumption, we derive lower bounds yielding the efficiency of the er
Externí odkaz:
http://arxiv.org/abs/1811.07586
Publikováno v:
In Advances in Applied Mechanics 2024 59:19-108
Autor:
Endtmayer, Bernhard, Demircan, Ayhan, Perevoznik, Dmitrii, Morgner, Uwe, Beuchler, Sven, Wick, Thomas
Publikováno v:
PAMM: Proceedings in Applied Mathematics & Mechanics; May2023, Vol. 23 Issue 1, p1-6, 6p