Zobrazeno 1 - 10
of 167
pro vyhledávání: '"Knechtges P"'
The numerical simulation and optimization of technical systems described by partial differential equations is expensive, especially in multi-query scenarios in which the underlying equations have to be solved for different parameters. A comparatively
Externí odkaz:
http://arxiv.org/abs/2409.04067
Recent studies have confirmed cardiovascular diseases remain responsible for highest death toll amongst non-communicable diseases. Accurate left ventricular (LV) volume estimation is critical for valid diagnosis and management of various cardiovascul
Externí odkaz:
http://arxiv.org/abs/2312.02167
Publikováno v:
Journal of Non-Newtonian Fluid Mechanics 322 (2023) 105133
The log-conformation formulation, although highly successful, was from the beginning formulated as a partial differential equation that contains an, for PDEs unusual, eigenvalue decomposition of the unknown field. To this day, most numerical implemen
Externí odkaz:
http://arxiv.org/abs/2308.09394
Autor:
Oskar Taubert, Fabrice von der Lehr, Alina Bazarova, Christian Faber, Philipp Knechtges, Marie Weiel, Charlotte Debus, Daniel Coquelin, Achim Basermann, Achim Streit, Stefan Kesselheim, Markus Götz, Alexander Schug
Publikováno v:
Communications Biology, Vol 6, Iss 1, Pp 1-8 (2023)
Abstract On the path to full understanding of the structure-function relationship or even design of RNA, structure prediction would offer an intriguing complement to experimental efforts. Any deep learning on RNA structure, however, is hampered by th
Externí odkaz:
https://doaj.org/article/d536d84aae0f4245a6e3998c83d5238a
Autor:
Götz, Markus, Coquelin, Daniel, Debus, Charlotte, Krajsek, Kai, Comito, Claudia, Knechtges, Philipp, Hagemeier, Björn, Tarnawa, Michael, Hanselmann, Simon, Siggel, Martin, Basermann, Achim, Streit, Achim
To cope with the rapid growth in available data, the efficiency of data analysis and machine learning libraries has recently received increased attention. Although great advancements have been made in traditional array-based computations, most are li
Externí odkaz:
http://arxiv.org/abs/2007.13552
Publikováno v:
Computers & Mathematics with Applications, 72 (2016) 2808-2822
In an effort to increase the versatility of finite element codes, we explore the possibility of automatically creating the Jacobian matrix necessary for the gradient-based solution of nonlinear systems of equations. Particularly, we aim to assess the
Externí odkaz:
http://arxiv.org/abs/1702.06365
Autor:
Keith, Brendan, Knechtges, Philipp, Roberts, Nathan V., Elgeti, Stefanie, Behr, Marek, Demkowicz, Leszek
Publikováno v:
J. Non-Newton. Fluid Mech. 247:107-122 (2017)
We explore a vexing benchmark problem for viscoelastic fluid flows with the discontinuous Petrov-Galerkin (DPG) finite element method of Demkowicz and Gopalakrishnan [1,2]. In our analysis, we develop an intrinsic a posteriori error indicator which w
Externí odkaz:
http://arxiv.org/abs/1612.03124
Autor:
Knechtges, Philipp
Publikováno v:
Journal of Journal of Non-Newtonian Fluid Mechanics 223 (2015) 209-220
The stable and efficient numerical simulation of viscoelastic flows has been a constant struggle due to the High Weissenberg Number Problem. While the stability for macroscopic descriptions could be greatly enhanced by the log-conformation method as
Externí odkaz:
http://arxiv.org/abs/1503.03863
Publikováno v:
Journal of Non-Newtonian Fluid Mechanics 214 (2014) 78-87
Subject of this paper is the derivation of a new constitutive law in terms of the logarithm of the conformation tensor that can be used as a full substitute for the 2D governing equations of the Oldroyd-B, Giesekus and other models. One of the key fe
Externí odkaz:
http://arxiv.org/abs/1406.6988
We consider electroweak symmetry breaking by a certain class of non-local Higgs sectors. Extending previous studies employing the Mandelstam condition, a straight Wilson line is used to make the Higgs action gauge invariant. We show the unitarization
Externí odkaz:
http://arxiv.org/abs/1108.1876