Sökning: "Weak formulation"

Visar resultat 1 - 5 av 40 avhandlingar innehållade orden Weak formulation.

  1. 1. 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

  3. 2. Modelling of compact resonators

    Författare :Pierre-Luc Regaud; KTH; []
    Nyckelord :Acoustic; Resonator compact; Fold; End correction; Spiral; Helical; Higher order modes; 2-port; Side-branch; Mode matching; Collocation; Weak formulation; Harmonic;

    Sammanfattning : .... LÄS MER

  4. 3. A weak space-time formulation for the linear stochastic heat equation

    Författare :Matteo Molteni; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Inf-sup theory; Stochastic heat equation; Petrov-Galerkin; Finite element; Crank-Nicolson; Quasi-optimality; Finite element;

    Sammanfattning : The topic covered in this thesis is the introduction of a new formulation for the linear stochastic heat equation driven by additive noise, based on the space-time variational formulation for its deterministic counterpart. Having a variational formulation allows the use of the so called inf-sup theory in order to obtain results of existence and uniqueness in a relatively simple way. LÄS MER

  5. 4. A pseudoparabolic reaction-diffusion-mechanics system : Modeling, analysis and simulation

    Författare :Arthur Vromans; Adrian Muntean; Martin Lind; Mohammad Asadzadeh; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; reaction-diffusion-mechanics model; parameter delimitation; parabolic-pseudoparabolic equations; weak solvability; Rothe method; periodic homogenization; Matematik; Mathematics;

    Sammanfattning : In this thesis, parabolic-pseudoparabolic equations are derived coupling chemical reactions, diffusion, flow and mechanics in a heterogeneous medium using the framework of mixture theory. The weak solvability in 1-D of the obtained models is studied. LÄS MER

  7. 5. Finite Element Procedures for Fluid-structure Interaction

    Författare :Joakim Hermansson; Chalmers tekniska högskola; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Nitsche s method; stabilized Crouzeix-Raviart; Winslow s method; Raviart-Thomas; space-time FE; stretched elements; FSI; FEM; weak coupling; mesh smoothing; acoustic FSI; ALE;

    Sammanfattning : This thesis concerns finite element (FE) methods for solving fluid-structure interaction (FSI) problems. Two types of fluid-structure interaction are considered. A finite element method for solving the interaction between a flowing incompressible fluid and a linear elastic structure is proposed. The flow is assumed to be laminar. LÄS MER