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Benjamin Kehlet
Researcher at Simula Research Laboratory
Publications - 12
Citations - 1937
Benjamin Kehlet is an academic researcher from Simula Research Laboratory. The author has contributed to research in topics: Lorenz system & Discretization. The author has an hindex of 7, co-authored 12 publications receiving 1403 citations. Previous affiliations of Benjamin Kehlet include University of Oslo.
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The FEniCS Project Version 1.5
Martin Sandve Alnæs,Jan Blechta,Johan Hake,August Johansson,Benjamin Kehlet,Anders Logg,Chris N. Richardson,Johannes Ring,Marie E. Rognes,Garth N. Wells +9 more
TL;DR: The FEniCS Project is a collaborative project for the development of innovative concepts and tools for automated scientific computing, with a particular focus on the solution of differential equations by finite element methods.
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Interstitial solute transport in 3D reconstructed neuropil occurs by diffusion rather than bulk flow.
Karl Erik Holter,Karl Erik Holter,Benjamin Kehlet,Benjamin Kehlet,Anna Devor,Anna Devor,Terrence J. Sejnowski,Terrence J. Sejnowski,Anders M. Dale,Stig W. Omholt,Ole Petter Ottersen,Erlend A. Nagelhus,Kent-Andre Mardal,Kent-Andre Mardal,Klas H. Pettersen +14 more
TL;DR: The permeability is one to two orders of magnitude lower than values typically seen in the literature, arguing against bulk flow as the dominant transport mechanism, and it is concluded that clearance of waste products from the brain is largely based on diffusion of solutes through the interstitial space.
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Multimesh finite element methods: Solving PDEs on multiple intersecting meshes
TL;DR: In this article, a new framework for expressing finite element methods on multiple intersecting meshes is presented, which enables the use of separate meshes to discretize the finite element method.
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A posteriori error analysis of round-off errors in the numerical solution of ordinary differential equations
TL;DR: In this article, it was shown that the accumulated round-off error is inversely proportional to the square root of the step size, and that the numerical precision eventually sets the limit for the pointwise computability of accurate solutions of any ODE.
Posted Content
MultiMesh Finite Element Methods I: Solving PDEs on Multiple Intersecting Meshes
TL;DR: In this article, a multimesh finite element method for the Poisson equation is proposed, which is particularly well suited to problems in which the computational domain undergoes large deformations as a result of the relative motion of the separate components of a multi-body system.