Sökning: "Discontinuous Galerkin method"

Visar resultat 1 - 5 av 23 avhandlingar innehållade orden Discontinuous Galerkin method.

  1. 1. Finite Difference and Discontinuous Galerkin Methods for Wave Equations

    Detta är en avhandling från Uppsala : Acta Universitatis Upsaliensis

    Författare :Siyang Wang; Uppsala universitet.; Uppsala universitet.; [2017]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Wave propagation; Finite difference method; Discontinuous Galerkin method; Stability; Accuracy; Summation by parts; Normal mode analysis; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Sammanfattning : Wave propagation problems can be modeled by partial differential equations. In this thesis, we study wave propagation in fluids and in solids, modeled by the acoustic wave equation and the elastic wave equation, respectively. LÄS MER

  2. 2. Spectral/hp Discontinuous Galerkin Methods for Computational Hydraulics

    Detta är en avhandling från Uppsala : Acta Universitatis Upsaliensis

    Författare :Claes Eskilsson; [2005]
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; spectral hp elements; surface gravity waves; Boussinesq-type equations; shallow water equations; discontinuous Galerkin method;

    Sammanfattning : We present the concept of spectral/hp element methods, i.e. finite element methods of arbitrarily (high) polynomial order, and apply the methods to computational hydraulics. LÄS MER

  3. 3. On discontinuous Galerkin multiscale methods

    Detta är en avhandling från Uppsala University

    Författare :Daniel Elfverson; Uppsala universitet.; Uppsala universitet.; [2013]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Sammanfattning : 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. LÄS MER

  4. 4. Adaptive Finite Element Methods for Optimal Control Problems

    Detta är en avhandling från Göteborg : Chalmers University of Technology

    Författare :Karin Kraft; Göteborgs universitet.; Gothenburg University.; [2011]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; finite element method; discontinuous Galerkin method; optimal control; a posteriori error estimate; dual weighted residual; adaptive; multilevel algorithm; Newton method; control constraint; variational inequality; vehicle dynamics.;

    Sammanfattning : In this thesis we study the numerical solution of optimal control problems. The problems considered consist of a systemof differential equations, the state equations, which are governed bya control variable. The goal is to determine the states and controls which minimize a given cost functional. LÄS MER

  5. 5. Multiscale Methods and Uncertainty Quantification

    Detta är en avhandling från Uppsala : Acta Universitatis Upsaliensis

    Författare :Daniel Elfverson; Uppsala universitet.; Uppsala universitet.; [2015]
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER