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Showing result 1 - 5 of 35 swedish dissertations matching the above criteria.

  2. 1. On adaptive finite element methods based on a posteriori estimates

    Author : Axel Målqvist; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite element method; Galerkin; duality; a posteriori error estimation; adaptivity; Poisson equation; boundary penalty method; Helmholtz equation; pollution; variational multiscale method; adaptivity;

    Abstract : .... READ MORE

  4. 2. Model Adaptivity in Elasticity

    Author : David Heintz; Göteborgs universitet; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; finite element method; dimension reduction; a posteriori error; model error; model adaptivity; model error;

    Abstract : We consider model adaptivity in elasticity for dimensionally reduced forms, and shall treat different conceptual approaches. The basic idea, however, is to adaptively refine, not only the computational mesh, but also the underlying mathematical formulation. READ MORE

  5. 3. Adaptive Finite Element Methods for Compressible Two-Phase Flow

    Author : Erik Burman; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; adaptive finite element methods; two-phase flow; compressible flow; conservation laws; hyperbolic systems; a posteriori error estimates; streamline diffusion; stability analysis; quantitative error control; adaptive algorithms; quantitative error control;

    Abstract : In this thesis we develop, apply and analyse adaptive finite element methods with error control for compressible flow problems, focusing in particular on two-phase flow. The adaptive algorithms, aiming at quantitative error control with efficient use of computational resources, are based on a posteriori error estimates, where the error is estimated in terms of the computed solution, the local mesh-size and certain stability factors. READ MORE

  6. 4. On A Posteriori Error Estimation in the Maximum Norm

    Author : Mats Boman; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : In this thesis we consider residual-based a posteriori error estimates in the maximum norm for the finite element solution of some partial differential equations. The thesis consists of three papers. The first paper concerns a pointwise a posteriori error estimate for the time dependent obstacle problem. READ MORE

  7. 5. Adaptive Finite Element Methods for Reactive Flow Problems

    Author : Robert Sandboge; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; convection-diffusion-reaction problems; posteriori error estimates; adaptive finite element methods; ; adaptive finite element methods;

    Abstract : We present and analyze adaptive finite element methods with reliable and efficient error control for a variety of convection-diffusion-reaction problems. The adaptive methods are based on a posteriori error estimates, where the error is estimated in terms of the residual of the computed solution, the mesh size and multiplicative factors measuring certain stability properties of an associated linearized dual problem. READ MORE