Sökning: "a posteriori error analysis"

Visar resultat 16 - 20 av 43 avhandlingar innehållade orden a posteriori error analysis.

1. 16. Computational Modeling of Complex Flows

   Författare :Johan Hoffman; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; computational fluid dynamics; adaptive finite element method; a posteriori error estimate; subgrid modeling; transition to turbulence; multiresolution analysis; object-oriented software; computational fluid dynamics;

   Sammanfattning : In this thesis we consider the following aspects of computational modeling of complex flows: (i) subgrid modeling, (ii) stability, (iii) a posteriori error estimation, and (iv) computational platform. We develop a framework for adaptivity and error control for multiscale problems, in particular for turbulent flow, based on a posteriori error estimates. LÄS MER

3. 17. 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

4. 18. Finite element approximation of the deterministic and the stochastic Cahn-Hilliard equation

   Författare :Ali Mesforush; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; finite element; a priori error estimate; stochastic integral; mild solution; dual weighted residuals; a posteriori error estimate; additive noise; Wiener process; Cahn-Hilliard equation; existence; regularity; Lya- punov functional; stochastic convolution; Lya- punov functional;

   Sammanfattning : This thesis consists of three papers on numerical approximation of the Cahn-Hilliard equation. The main part of the work is concerned with the Cahn-Hilliard equation perturbed by noise, also known as the Cahn-Hilliard-Cook equation. LÄS MER

5. 19. The Finite Element Method for Fractional Order Viscoelasticity and the Stochastic Wave Equation

   Författare :Fardin Saedpanah; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; finite element method; continuous Galerkin method; linear viscoelasticity; fractional calculus; fractional order viscoelasticity; weakly singular kernel; stability; a priori error estimate; a posteriori error estimate; stochastic wave equation; additive noise; Wiener process; strong convergence.; linear viscoelasticity;

   Sammanfattning : This thesis can be considered as two parts. In the first part a hyperbolic type integro-differential equation with weakly singular kernel is considered, which is a model for dynamic fractional order viscoelasticity. In the second part, the finite element approximation of the linear stochastic wave equation is studied. LÄS MER

7. 20. Adaptive Algorithms and High Order Stabilization for Finite Element Computation of Turbulent Compressible Flow

   Författare :Murtazo Nazarov; Johan Hoffman; Timothy J. Barth; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Compressible flow; adaptivity; finite element method; a posteriori error estimates; Implicit LES; Applied mathematics; Tillämpad matematik; Numerical analysis; Numerisk analys;

   Sammanfattning : This work develops finite element methods with high order stabilization, and robust and efficient adaptive algorithms for Large Eddy Simulation of turbulent compressible flows. The equations are approximated by continuous piecewise linear functions in space, and the time discretization is done in implicit/explicit fashion: the second order Crank-Nicholson method and third/fourth order explicit Runge-Kutta methods. LÄS MER