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- University of OsloNO39 papers
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4 papers · 2 filters
Adaptive Finite Element Solution of Multiscale PDE-ODE Systems
A. Johansson, J. H. Chaudry, V. Carey +4
We consider adaptive finite element methods for solving a multiscale system consisting of a macroscale model comprising a system of reaction-diffusion partial differential equation…
A Stabilized Cut Finite Element Method for the Three Field Stokes Problem
Erik Burman, Susanne Claus, André Massing
We propose a Nitsche-based fictitious domain method for the three field Stokes problem in which the boundary of the domain is allowed to cross through the elements of a fixed backg…
Minimization of multi-penalty functionals by alternating iterative thresholding and optimal parameter choices
Valeriya Naumova, Steffen Peter
Inspired by several recent developments in regularization theory, optimization, and signal processing, we present and analyze a numerical approach to multi-penalty regularization i…
-error estimates for finite element approximations of boundary fluxes
Mats G. Larson, Andre Massing
We prove quasi-optimal a priori error estimates for finite element approximations of boundary normal fluxes in the -norm. Our results are valid for a variety of different sche…