Sökning: "variational inequality"

Visar resultat 1 - 5 av 13 avhandlingar innehållade orden variational inequality.

1. 1. Adaptive Finite Element Methods for the Reynolds Thin Film Model with Cavitation

   Författare :Bertil Nilsson; Sweden Gothenburg Chalmers University of Technology Department of Applied Mechanics; []
   Nyckelord :tribology; Reynolds equation; cavitation; FEM; adaptivity; variational inequality; penalty formulation; error estimation; residual; duality;

   Sammanfattning : The main purpose of this thesis is to use modern goal-oriented adaptive finite element techniques in order to improve the numerical simulation of tribology. Two novel adaptive finite element methods for the Reynolds thin film model including cavitation are presented and their different strategies are compared. LÄS MER

3. 2. Finite element procedures for virtual tribology

   Författare :Bertil Nilsson; Göteborgs universitet; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; Tribology; Reynolds equation; Stokes equation; cavitation; FEM; adaptivity; variational inequality; penalty formulation; error estima- tion; residual; duality.;

   Sammanfattning : The main purpose of this thesis is to use modern goal-oriented adap- tive finite element techniques in order to improve the numerical simulation of tribology. Two novel adaptive finite element methods for the Reynolds thin film model, and Stokes model including cavitation are presented and their different strategies are compared. LÄS MER

4. 3. 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

5. 4. 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

7. 5. Fixed points, fractals, iterated function systems and generalized support vector machines

   Författare :Xiaomin Qi; Sergei Silvestrov; Anatoliy Malyarenko; Daniel Andren; Viktor Abramov; Mälardalens högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; support vector machine; fixed points; iterated function system; variational inequality; Mathematics Applied Mathematics; matematik tillämpad matematik;

   Sammanfattning : In this thesis, fixed point theory is used to construct a fractal type sets and to solve data classification problem. Fixed point method, which is a beautiful mixture of analysis, topology, and geometry has been revealed as a very powerful and important tool in the study of nonlinear phenomena. LÄS MER