Search for dissertations about: "Multiscale Methods"

Showing result 1 - 5 of 54 swedish dissertations containing the words Multiscale Methods.

  1. 1. Multiscale Methods and Uncertainty Quantification

    University dissertation from Uppsala : Acta Universitatis Upsaliensis

    Author : Daniel Elfverson; Uppsala universitet.; Uppsala universitet.; [2015]
    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

  2. 2. Adaptive variational multiscale methods

    University dissertation from Göteborg : Chalmers University of Technology

    Author : Axel Målqvist; Göteborgs universitet.; Gothenburg University.; [2005]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite element method; Galerkin; duality; a posteriori error estimation; adaptivity; variational multiscale method; mixed formulation; multi-physics; oil reservoir simulation;

    Abstract : In this thesis we present a new adaptive multiscale method for solving elliptic partial differential equations. The method is based on numerical solution of decoupled local fine scale problems on patches. READ MORE

  3. 3. Analysis and Applications of the Heterogeneous Multiscale Methods for Multiscale Elliptic and Hyperbolic Partial Differential Equations

    University dissertation from Stockholm : KTH Royal Institute of Technology

    Author : Doghonay Arjmand; KTH.; [2013]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Multiscale Methods; HMM; Multiscale Wave Equation; Multiscale Elliptic Equation; Long Time Wave Propagation; SRA - E-Science SeRC ; SRA - E-vetenskap SeRC ;

    Abstract : This thesis concerns the applications and analysis of the Heterogeneous Multiscale methods (HMM) for Multiscale Elliptic and Hyperbolic Partial Differential Equations. We have gathered the main contributions in two papers. READ MORE

  4. 4. Finite element methods for multiscale/multiphysics problems

    University dissertation from Umeå : Department of Mathematics and Mathematical Statistics, Umeå University

    Author : Robert Söderlund; Umeå universitet.; [2011]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite element methods; variational multiscale methods; Galerkin; convergence analysis; multiphysics; a posteriori error estimation; duality; adaptivity; MATHEMATICS Applied mathematics Mathematical statistics; MATEMATIK Tillämpad matematik Matematisk statistik; Mathematical Statistics; matematisk statistik;

    Abstract : In this thesis we focus on multiscale and multiphysics problems. We derive a posteriori error estimates for a one way coupled multiphysics problem, using the dual weighted residual method. READ MORE

  5. 5. Multiscale methods for simulation of paper making

    University dissertation from Gothenburg : Chalmers tekniska högskola

    Author : Gustav Kettil; [2019]
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Paper making; Numerical upscaling; Lay down simulations; Virtual paper sheets; Fiber network model; Forming fabric flow; Fiber suspension flow; Fiber-fiber interaction; Multiscale methods; Fluid structure interaction;

    Abstract : In this work, multiscale methods for simulation of paper making are developed. The emphasis is on simulation of the paper forming process and simulation of the mechanical properties of paper sheets. To simulate paper forming, a novel fiber-fiber interaction method is proposed. READ MORE