Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Funke, Simon W."'
Autor:
Lai, Xiaoran, Taskén, Håkon A., Mo, Torgeir, Funke, Simon W., Frigessi, Arnoldo, Rognes, Marie E., Köhn-Luque, Alvaro
Mathematical modeling and simulation is a promising approach to personalized cancer medicine. Yet, the complexity, heterogeneity and multi-scale nature of cancer pose significant computational challenges. Coupling discrete cell-based models with cont
Externí odkaz:
http://arxiv.org/abs/2105.00448
Publikováno v:
Journal of Computational Physics 446 (2021) 110651
We present a methodology combining neural networks with physical principle constraints in the form of partial differential equations (PDEs). The approach allows to train neural networks while respecting the PDEs as a strong constraint in the optimisa
Externí odkaz:
http://arxiv.org/abs/2101.00962
In industry, shape optimization problems are of utter importance when designing structures such as aircraft, automobiles and turbines. For many of these applications, the structure changes over time, with a prescribed or non-prescribed movement. Ther
Externí odkaz:
http://arxiv.org/abs/2001.10058
The multimesh finite element method is a technique for solving partial differential equations on multiple non-matching meshes by enforcing interface conditions using Nitsche's method. Since the non-matching meshes can result in arbitrarily cut cells,
Externí odkaz:
http://arxiv.org/abs/1912.06392
Autor:
Valnes, Lars Magnus, Mitusch, Sebastian K., Ringstad, Geir, Eide, Per Kristian, Funke, Simon W., Mardal, Kent-Andre
The recently proposed glymphatic system suggests that bulk flow is important for clearing waste from the brain, and as such may underlie the development of e.g. Alzheimer's disease. The glymphatic hypothesis is still controversial and several biomech
Externí odkaz:
http://arxiv.org/abs/1811.04699
An important step in shape optimization with partial differential equation constraints is to adapt the geometry during each optimization iteration. Common strategies are to employ mesh-deformation or re-meshing, where one or the other typically lacks
Externí odkaz:
http://arxiv.org/abs/1806.09821
Autor:
Kukreja, Navjot, Hückelheim, Jan, Lange, Michael, Louboutin, Mathias, Walther, Andrea, Funke, Simon W., Gorman, Gerard
Inversion and PDE-constrained optimization problems often rely on solving the adjoint problem to calculate the gradient of the objec- tive function. This requires storing large amounts of intermediate data, setting a limit to the largest problem that
Externí odkaz:
http://arxiv.org/abs/1802.02474
Mathematical models that couple partial differential equations (PDEs) and spatially distributed ordinary differential equations (ODEs) arise in biology, medicine, chemistry and many other fields. In this paper we discuss an extension to the FEniCS fi
Externí odkaz:
http://arxiv.org/abs/1708.07648
Existing implementations of gradient-based optimisation methods typically assume that the problem is posed in Euclidean space. When solving optimality problems on function spaces, the functional derivative is then inaccurately represented with respec
Externí odkaz:
http://arxiv.org/abs/1606.08069
Extracting the optimal amount of power from an array of tidal turbines requires an intricate understanding of tidal dynamics and the effects of turbine placement on the local and regional scale flow. Numerical models have contributed significantly to
Externí odkaz:
http://arxiv.org/abs/1601.08091