Sökning: "Finite element method nonlinear"

Visar resultat 1 - 5 av 88 avhandlingar innehållade orden Finite element method nonlinear.

  1. 1. Finite Element Modelling of Fluid-Structure Interaction

    Författare :Göran Sandberg; Byggnadsmekanik; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Finite Element Method; Coupled problem; fluid-structure interaction; Transient; Acoustics; Caviation; Time Stepping; Symmetric; Nonlinear acoustics; Submerged structures; finite element method; Coupled problem; Fluid-structure interaction; Transient; Acoustics; Cavitation; Time Stepping; Symmetric; Nonlinear acoustics; Submerged structures;

    Sammanfattning : The dynamic interaction between non-viscid, compressible fluid and an elastic structure is studied. Finte element formulations, using the weighted residual method, are derived. Different primary variables in the fluid domain are used and different source functions are considered. LÄS MER

  3. 2. 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

  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. Multigrid Preconditioners for the Discontinuous Galerkin Spectral Element Method : Construction and Analysis

    Författare :Lea Miko Versbach; Numerisk analys; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Discontinuous Galerkin Method; Finite Volume Method; Implicit Schemes; Local Fourier Analysis; Multigrid Method; Preconditioner; Space-Time Discretization; Spectral Element Method;

    Sammanfattning : Discontinuous Galerkin (DG) methods offer a great potential for simulations of turbulent and wall bounded flows with complex geometries since these high-order schemes offer a great potential in handling eddies. Recently, space-time DG methods have become more popular. LÄS MER

  7. 5. Efficient Solvers for Space-Time Discontinuous Galerkin Spectral Element Methods

    Författare :Lea Miko Versbach; Numerisk analys; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Discontinuous Galerkin Method; Spectral Element Method; Finite Volume Method; Implicit Schemes; Preconditioner; Multigrid Method; Space-Time; Lobatto IIIC Method; Local Fourier Analysis;

    Sammanfattning : In this thesis we study efficient solvers for space-time discontinuous Galerkin spectral element methods (DG-SEM). These discretizations result in fully implicit schemes of variable order in both spatial and temporal directions. LÄS MER