Sökning: "a posteriori error analysis"

Visar resultat 1 - 5 av 42 avhandlingar innehållade orden a posteriori error analysis.

  1. 1. A moving boundary problem for capturing the penetration of diffusant concentration into rubbers : Modeling, simulation and analysis

    Författare :Surendra Nepal; Adrian Muntean; Yosief Wondmagegne; Magnus Ögren; Karlstads universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Moving boundary problem; finite element method; a priori error estimate; a posteriori error estimate; order of convergence; diffusion of chemicals into rubber; swelling; Matematik; Mathematics;

    Sammanfattning : We propose a moving-boundary scenario to model the penetration of diffusants into rubbers. Immobilizing the moving boundary by using the well-known Landau transformation transforms the original governing equations into new equations posed in a fixed domain. LÄS MER

  2. 2. Mathematical analysis and approximation of a multiscale elliptic-parabolic system

    Författare :Omar Richardson; Adrian Muntean; Alfred Schmidt; Karlstads universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Two-scale modelling; two-scale Galerkin approximation; inverse Robin estimates; elliptic-parabolic system; a priori analysis; a posteriori error estimators; Matematik; Mathematics;

    Sammanfattning : We study a two-scale coupled system consisting of a macroscopic elliptic equation and a microscopic parabolic equation. This system models the interplay between a gas and liquid close to equilibrium within a porous medium with distributed microstructures. We use formal homogenization arguments to derive the target system. LÄS MER

  3. 3. Parameter identification in constitutive models with a posteriori error control and sensitivity assessment

    Författare :Håkan Johansson; Chalmers University of Technology; []
    Nyckelord :Sensitivity analysis; Goal-oriented error estimate; Calibration; Parameter identification;

    Sammanfattning : In this thesis a framework for the calibration of constitutive models is presented. The framework involves theformulation of an optimization problem which is solved usingstrategies based on, essentially, Newton's method. LÄS MER

  4. 4. On finite element schemes for Vlasov-Maxwell system and Schrödinger equation

    Författare :Christoffer Standar; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Nonlinear Schrödinger equation; Nitsche scheme; Streamline diffusion; Vlasov-Maxwell; a posteriori error analysis; a priori error analysis; hp-scheme; a posteriori error analysis;

    Sammanfattning : This thesis treats finite element schemes for two kind of problems, the Valsov-Maxwellsystem and the nonlinear Schrödinger equation. We study streamline diffusion schemes applied for numerical solution of the one and one-half dimensional relativistic Vlasov-Maxwell system. The study is made both in a priori and a posteriori settings. LÄS MER

  5. 5. Numerical Complexity Analysis of Weak Approximation of Stochastic Differential Equations

    Författare :Raul Tempone Olariaga; KTH; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; 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