Search for dissertations about: "dual-weighted residual method"

Showing result 1 - 5 of 8 swedish dissertations containing the words dual-weighted residual method.

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

   Author : Karin Kraft; Göteborgs universitet; []
   Keywords : 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;

   Abstract : 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. READ MORE

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

   Author : Karin Kraft; Göteborgs universitet; []
   Keywords : 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.;

   Abstract : 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. READ MORE

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

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

   Abstract : 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. READ MORE

6. 4. 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

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

   Author : Pär Ingelström; Chalmers tekniska högskola; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY;

   Abstract : 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. READ MORE