Search for dissertations about: "Quadrature rule"

Showing result 1 - 5 of 6 swedish dissertations containing the words Quadrature rule.

  2. 1. Boundary integral methods for Stokes flow : Quadrature techniques and fast Ewald methods

    Author : Oana Marin; Anna-Karin Tornberg; Anita Layton; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; boundary integral; Stokes flow; quadrature rule; Ewald decomposition;

    Abstract : Fluid phenomena dominated by viscous effects can, in many cases, be modeled by the Stokes equations. The boundary integral form of the Stokes equations reduces the number of degrees of freedom in a numerical discretization by reformulating the three-dimensional problem to two-dimensional integral equations to be discretized over the boundaries of the domain. READ MORE

  4. 2. Convergence analysis of some numerical methods for neutron transport and Vlasov equations

    Author : Mohammad Asadzadeh; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Convergence analysis; Neutron transport equation; Vlasov-Poisson equation; Finite element methods; Quadrature rule; Streamline-Diffusion method; Discontinuous Galerkin method; Neutron transport equation;

    Abstract : .... READ MORE

  5. 3. Quadrature rules for boundary integral methods applied to Stokes flow

    Author : Oana Marin; Anna-Karin Tornberg; Fritz Bark; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Computer science; Datavetenskap;

    Abstract :   Fluid phenomena dominated by viscous effects can, in many cases, be modeled by the Stokes equations. The boundary integral form of the Stokes equations reduces the number of degrees of freedom in a numerical discretization by reformulating the threedimensional problem to two-dimensional integral equations to be discretized over the boundaries of the domain. READ MORE

  6. 4. High order trapezoidal rule-based quadratures for boundary integral methods on non-parametrized surfaces

    Author : Federico Izzo; Olof Runborg; Robert Krasny; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Abstract : This thesis is concerned with computational methods for solving boundary integral equations (BIE) on surfaces defined without explicit parametrization, called Implicit Boundary Integral Methods (IBIM). Using implicit methods for describing surfaces, such as the level-set method, can be advantageous for complex geometries and problems where the surface evolves over time. READ MORE

  7. 5. Error analysis of summation-by-parts formulations : Dispersion, transmission and accuracy

    Author : Viktor Linders; Jan Nordström; Marco Kupiainen; Mark Carpenter; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY;

    Abstract : In this thesis we consider errors arising from finite difference operators on summation-by-parts (SBP) form, used in the discretisation of partial differential equations. The SBP operators are augmented with simultaneous-approximation-terms (SATs) to weakly impose boundary conditions. READ MORE