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Browsing Department of Mathematics by Document Types "Chapter"

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    • A Continuous Max-Flow Approach to Minimal Partitions with Label Cost Prior 

      Yuan, Jing; Bae, Egil; Boykov, Yuri; Tai, Xue-Cheng (Chapter; Peer reviewed, 2011)
      This paper investigates a convex relaxation approach for minimum description length (MDL) based image partitioning or labeling, which proposes an energy functional regularized by the spatial smoothness prior joint with a ...
    • Cyclic homology in a special world 

      Dundas, Bjørn Ian (Chapter, 2020)
      In work of Connes and Consani, Γ-spaces have taken a new importance. Segal introduced Γ-spaces in order to study stable homotopy theory, but the new perspective makes it apparent that also information about the unstable ...
    • Effective permeability of deformation bands in fault damage zones – Can deformation bands reduce the risk of fault leakage? 

      Berge, Runar Lie; Gasda, Sarah Eileen; Keilegavlen, Eirik; Sandve, Tor Harald (SINTEF Proceedings;7, Chapter, 2021)
      Faults are major geological structures that can dominate the flow paths in subsurface reservoirs by, e.g., connecting otherwise unconnected layers. In CO2 storage sites where the faults act as the main structural trap, the ...
    • A Finite-Volume-Based Module for Unsaturated Poroelasticity 

      Varela, Jhabriel; Gasda, Sarah Eileen; Keilegavlen, Eirik; Nordbotten, Jan Martin (Chapter, 2021)
      In this chapter, we present fv-unsat, a multipoint finite-volume–based solver for unsaturated flow in deformable and nondeformable porous media. The latter is described using the mixed form of Richards’ equation, whereas ...
    • Mass Conservative Domain Decomposition for Porous Media Flow 

      Nordbotten, Jan Martin; Keilegavlen, Eirik; Sandvin, Andreas (Chapter, 2012-03-28)
    • Mathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatments 

      Hanson, Erik Andreas; Hodneland, Erlend; Lorentzen, Rolf Johan; Nævdal, Geir; Nordbotten, Jan Martin; Sævareid, Ove; Zanna, Antonella (Lecture Notes in Computational Science and Engineering, Chapter; Peer reviewed; Journal article, 2019)
      Starting with the discovery of X-rays by Röntgen in 1895, the progress in medical imaging has been extraordinary and immensely beneficial to diagnosis and therapy. Parallel to the increase of imaging accuracy, there is the ...
    • Reactivation of fractures in subsurface reservoirs - A numerical approach using a static-dynamic friction model 

      Berge, Runar Lie; Berre, Inga; Keilegavlen, Eirik (Chapter; Peer reviewed; Journal article, 2019)
      Fluid-induced slip of fractures is characterized by strong multiphysics couplings. Three physical processes are considered: Flow, rock deformation and fracture deformation. The fractures are represented as lower-dimensional ...
    • A Study on Continuous Max-Flow and Min-Cut Approaches 

      Yuan, Jing; Bae, Egil; Tai, Xue-Cheng (Chapter; Peer reviewed, 2010)
      We propose and investigate novel max-flow models in the spatially continuous setting, with or without supervised constraints, under a comparative study of graph based max-flow / min-cut. We show that the continuous max-flow ...

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