Sökning: "a posteriori error estimates"

Visar resultat 16 - 20 av 35 avhandlingar innehållade orden a posteriori error estimates.

  1. 16. Adaptive finite element methods for parameter estimation problems in partial differential equations

    Författare :Tao Feng; Mittuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; parameter estimation; ¯nite element approximation; adaptive ¯nite element methods; a posteriori error estimates; least squares.; MATHEMATICS; MATEMATIK;

    Sammanfattning : Physical and chemical phenomena are often described by a system of partial di®erential equations. These equations usually involve unknown parameters, which cannot be measured directly but which can be adjusted to make the model predictions match the observed data. LÄS MER

  3. 17. Numerical Complexity Analysis of Weak Approximation of Stochastic Differential Equations

    Författare :Raul Tempone Olariaga; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Adaptive methods; a posteriori error estimates; stochastic differential equations; weak approximation; Monte Carlo methods; Malliavin Calculus; HJM model; option price; bond market; stochastic elliptic equation; Karhunen-Loeve expansion; numerical co; Numerical analysis; Numerisk analys;

    Sammanfattning : The thesis consists of four papers on numerical complexityanalysis of weak approximation of ordinary and partialstochastic differential equations, including illustrativenumerical examples. Here by numerical complexity we mean thecomputational work needed by a numerical method to solve aproblem with a given accuracy. LÄS MER

  4. 18. 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

  5. 19. Weak approximation of ItÔ stochastic differential equations and related adaptive algorithms

    Författare :Raúl Tempone Olariaga; KTH; []
    Nyckelord :Adaptive methods; A posteriori error estimates; Stochastic differential equations; Monte Carlo methods; HJM model; Option price; Bond market; TECHNOLOGY; TEKNIKVETENSKAP;

    Sammanfattning : .... LÄS MER

  7. 20. Adaptive variational multiscale methods

    Författare :Axel Målqvist; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; finite element method; Galerkin; duality; a posteriori error estimation; adaptivity; variational multiscale method; mixed formulation; multi-physics; oil reservoir simulation; finite element method;

    Sammanfattning : In this thesis we present a new adaptive multiscale method for solving elliptic partial differential equations. The method is based on numerical solution of decoupled local fine scale problems on patches. LÄS MER