Sökning: "dual weighted residual"

Visar resultat 1 - 5 av 8 avhandlingar innehållade orden dual weighted residual.

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

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

    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

  3. 2. Adaptive Finite Element Methods for Optimal Control Problems

    Författare :Karin Kraft; Göteborgs universitet; []
    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 system of differential equations, the state equations, which are governed by a control variable. The goal is to determine the states and controls which minimize a given cost functional. LÄS MER

  4. 3. Duality-based adaptive finite element methods with application to time-dependent problems

    Författare :August Johansson; Mats G. Larson; Paul Houston; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; finite element methods; dual-weighted residual method; multiphysics; a posteriori error estimation; adaptive algorithms; discontinuous Galerkin; MATHEMATICS; MATEMATIK; Mathematics; matematik;

    Sammanfattning : To simulate real world problems modeled by differential equations, it is often not sufficient to  consider and tackle a single equation. Rather, complex phenomena are modeled by several partial dierential equations that are coupled to each other. LÄS MER

  5. 4. Higher Order Finite Elements and Adaptivity in Computational Electromagnetics

    Författare :Pär Ingelström; Chalmers tekniska högskola; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY;

    Sammanfattning : This thesis is concerned with efficient and accurate numerical methods for the solution of Maxwell's equations. In particular, the finite element method with higher order elements and adaptive mesh-refinement is considered. LÄS MER

  7. 5. Finite element methods for multiscale/multiphysics problems

    Författare :Robert Söderlund; Mats Larson; Victor Ginting; Umeå universitet; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER