K
Kjetil Johannessen
Researcher at Norwegian University of Science and Technology
Publications - 24
Citations - 611
Kjetil Johannessen is an academic researcher from Norwegian University of Science and Technology. The author has contributed to research in topics: Isogeometric analysis & Fiber optic sensor. The author has an hindex of 11, co-authored 20 publications receiving 519 citations. Previous affiliations of Kjetil Johannessen include SINTEF.
Papers
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Isogeometric analysis using LR B-splines
TL;DR: This paper proposes local refinement strategies for adaptive isogeometric analysis using LR B-splines and investigates its performance by doing numerical tests on well known benchmark cases.
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Optimal quadrature for univariate and tensor product splines
TL;DR: An algorithm to generalize on generalized Gauss rules for numerical integration, which is optimal in the sense that it will integrate a space of dimension n, using no more than n + 1 2 quadrature points.
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On the similarities and differences between Classical Hierarchical, Truncated Hierarchical and LR B-splines
TL;DR: It is shown that the basis functions in general do not span the same space, and that conditioning numbers are comparable, while the weighting needed by the Classical Hierarchical basis to maintain partition of unity has significant implications on the conditioning numbers.
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Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis
TL;DR: This article explores a feature common for Isogeometric analysis (IGA), namely the use of structured tensorial meshes that facilitates superconvergence behavior of the gradient in the Galerkin discretization and develops a posteriori error estimator where the improved gradient obtained from the proposed recovery procedures is used.
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Divergence-conforming discretization for Stokes problem on locally refined meshes using LR B-splines
TL;DR: This paper extends the div-compatible spline spaces with local refinement capability using Locally Refined (LR) B-splines over rectangular domains with argument that the splines generated on locally refined meshes will satisfy compatibility provided they span the entire function spaces as governed by Mourrain (2014) dimension formula.