Search Results - "Funke, Simon W"

Apparent diffusion coefficient estimates based on 24 hours tracer movement support glymphatic transport in human cerebral cortex by 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…”
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Hybrid FEM-NN models: Combining artificial neural networks with the finite element method by Mitusch, Sebastian K., Funke, Simon W., Kuchta, Miroslav

“…•An approach for training neural networks combined with partial differential equations.•Combines a finite element framework with a machine learning…”
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Designing large arrays of tidal turbines: A synthesis and review by Vennell, Ross, Funke, Simon W., Draper, Scott, Stevens, Craig, Divett, Tim

“…Much of the global tidal current energy resource lies in the accelerated flows along narrow channels. These channels have the potential to produce 10–1000s of…”
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A multimesh finite element method for the Navier–Stokes equations based on projection methods by Dokken, Jørgen S., Johansson, August, Massing, André, Funke, Simon W.

“…The multimesh finite element method is a technique for solving partial differential equations on multiple non-matching meshes by enforcing interface conditions…”
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Toward Personalized Computer Simulation of Breast Cancer Treatment: A Multiscale Pharmacokinetic and Pharmacodynamic Model Informed by Multitype Patient Data by Lai, Xiaoran, Geier, Oliver M, Fleischer, Thomas, Garred, Øystein, Borgen, Elin, Funke, Simon W, Kumar, Surendra, Rognes, Marie E, Seierstad, Therese, Børresen-Dale, Anne-Lise, Kristensen, Vessela N, Engebraaten, Olav, Köhn-Luque, Alvaro, Frigessi, Arnoldo

“…The usefulness of mechanistic models to disentangle complex multiscale cancer processes, such as treatment response, has been widely acknowledged. However, a…”
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A scalable solver for a stochastic, hybrid cellular automaton model of personalized breast cancer therapy by 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…”
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Application of the adjoint approach to optimise the initial conditions of a turbidity current with the AdjointTurbidity 1.0 model by Parkinson, Samuel D, Funke, Simon W, Hill, Jon, Piggott, Matthew D, Allison, Peter A

“…Turbidity currents are one of the main drivers of sediment transport from the continental shelf to the deep ocean. The resulting sediment deposits can reach…”
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Hybrid genetic deflated Newton method for global optimisation by Noack, Marcus M., Funke, Simon W.

“…Optimisation is a basic principle of nature and has a vast variety of applications in research and industry. There is a plurality of different optimisation…”
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cbcbeat: an adjoint-enabled framework for computational cardiac electrophysiology by E. Rognes, Marie, E. Farrell, Patrick, W. Funke, Simon, E. Hake, Johan, M. C. Maleckar, Molly

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Hybrid FEM-NN models: Combining artificial neural networks with the finite element method by Mitusch, Sebastian K, Funke, Simon W, Kuchta, Miroslav

“…Journal of Computational Physics 446 (2021) 110651 We present a methodology combining neural networks with physical principle constraints in the form of…”
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Automatic shape derivatives for transient PDEs in FEniCS and Firedrake by Dokken, Jørgen S, Mitusch, Sebastian K, Funke, Simon W

“…In industry, shape optimization problems are of utter importance when designing structures such as aircraft, automobiles and turbines. For many of these…”
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A multimesh finite element method for the Navier-Stokes equations based on projection methods by Dokken, Jørgen S, Johansson, August, Massing, André, Funke, Simon W

“…The multimesh finite element method is a technique for solving partial differential equations on multiple non-matching meshes by enforcing interface conditions…”
Get full text

A scalable solver for a stochastic, hybrid cellular automaton model of personalized breast cancer therapy by 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…”
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Shape Optimization using the Finite Element Method on Multiple Meshes by Dokken, Jorgen S, Funke, Simon W, Johansson, August, Schmidt, Stephan

“…An important step in shape optimization with partial differential equation constraints is to adapt the geometry during each optimization iteration. Common…”
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An iteration count estimate for a mesh-dependent steepest descent method based on finite elements and Riesz inner product representation by Schwedes, Tobias, Funke, Simon W, Ham, David A

“…Existing implementations of gradient-based optimisation methods typically assume that the problem is posed in Euclidean space. When solving optimality problems…”
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High-level python abstractions for optimal checkpointing in inversion problems by 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…”
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Can diffusion alone explain brain-wide distribution of a CSF tracer within 24 hours? by 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…”
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Automated adjoints of coupled PDE-ODE systems by Farrell, Patrick E, Hake, Johan E, Funke, Simon W, Rognes, Marie E

“…Mathematical models that couple partial differential equations (PDEs) and spatially distributed ordinary differential equations (ODEs) arise in biology,…”
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Design optimisation and resource assessment for tidal-stream renewable energy farms using a new continuous turbine approach by Funke, Simon W, Kramer, Stephan C, Piggott, Matthew D

“…Renewable Energy, 2016 This paper presents a new approach for optimising the design of tidal stream turbine farms. In this approach, the turbine farm is…”
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Deflation techniques for finding distinct solutions of nonlinear partial differential equations by Farrell, Patrick E, Birkisson, Ásgeir, Funke, Simon W

“…Nonlinear systems of partial differential equations (PDEs) may permit several distinct solutions. The typical current approach to finding distinct solutions is…”
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