Blar i SINTEF Open på forfatter "Johansson, August"

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    • A Multimesh Finite Element Method for the Stokes Problem 

      Johansson, August; Larson, Mats; Logg, Anders (Peer reviewed; Journal article, 2020)
      The multimesh finite element method enables the solution of partial dif- ferential equations on a computational mesh composed by multiple arbitrarily over- lapping meshes. The discretization is based on a continuous–discontinuous ...

    • MultiMesh Finite Element Methods: Solving PDEs on Multiple Intersecting Meshes 

      Johansson, August; Kehlet, Benjamin; Larson, Mats; Logg, Anders (Journal article; Peer reviewed, 2018)
      We present a new framework for expressing finite element methods on multiple intersecting meshes: multimesh finite element methods. The framework enables the use of separate meshes to discretize parts of a computational ...

    • Multimesh finite elements with flexible mesh sizes 

      Johansson, August; Larson, Mats; Logg, Anders (Peer reviewed; Journal article, 2020)
      We analyze a new framework for expressing finite element methods on arbitrarily many intersecting meshes: multimesh finite element methods. The multimesh finite element method, first presented in Johansson et al. (2019), ...

    • Shape Optimization Using the Finite Element Method on Multiple Meshes with Nitsche Coupling 

      Dokken, Jørgen; Funke, Simon Wolfgang; Johansson, August; Schmidt, Stephan (Journal article; Peer reviewed, 2019)
      An important step in shape optimization with partial differential equation constraints is to adapt the geometry during each optimization iteration. Common strategies are to employ mesh deformation or remeshing, where one ...