Search for dissertations about: "Galerkin methods"

Showing result 1 - 5 of 53 swedish dissertations containing the words Galerkin methods.

  2. 1. 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

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

    Author : Robert Söderlund; Mats Larson; Victor Ginting; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite element methods; variational multiscale methods; Galerkin; convergence analysis; multiphysics; a posteriori error estimation; duality; adaptivity; Mathematical statistics; 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. 3. Adaptive variational multiscale methods

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

    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

  6. 4. 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

  7. 5. Uncertainty Quantification and Numerical Methods for Conservation Laws

    Author : Per Pettersson; Jan Nordström; Gianluca Iaccarino; Gunilla Kreiss; Rémi Abgrall; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; uncertainty quantification; polynomial chaos; stochastic Galerkin methods; conservation laws; hyperbolic problems; finite difference methods; finite volume methods; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : Conservation laws with uncertain initial and boundary conditions are approximated using a generalized polynomial chaos expansion approach where the solution is represented as a generalized Fourier series of stochastic basis functions, e.g. orthogonal polynomials or wavelets. READ MORE