Search for dissertations about: "Daniel Elfverson"

Found 2 swedish dissertations containing the words Daniel Elfverson.

  1. 1. On discontinuous Galerkin multiscale methods

    Author : Daniel Elfverson; Axel Målqvist; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : In this thesis a new multiscale method, the discontinuous Galerkin multiscale method, is proposed. The method uses localized fine scale computations to correct a global coarse scale equation and thereby takes the fine scale features into account. READ MORE

  2. 2. Multiscale Methods and Uncertainty Quantification

    Author : Daniel Elfverson; Axel Målqvist; Frédéric Legoll; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; multiscale methods; finite element method; discontinuous Galerkin; Petrov-Galerkin; a priori; a posteriori; complex geometry; uncertainty quantification; multilevel Monte Carlo; failure probability; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : In this thesis we consider two great challenges in computer simulations of partial differential equations: multiscale data, varying over multiple scales in space and time, and data uncertainty, due to lack of or inexact measurements.We develop a multiscale method based on a coarse scale correction, using localized fine scale computations. READ MORE