Sökning: "partition of unity"

Visar resultat 1 - 5 av 10 avhandlingar innehållade orden partition of unity.

  1. 1. Localised Radial Basis Function Methods for Partial Differential Equations

    Författare :Victor Shcherbakov; Elisabeth Larsson; Grady B. Wright; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Radial basis function; Partition of unity; Computational finance; Option pricing; Credit default swap; Glaciology; Fluid dynamics; Non-Newtonian flow; Anisotropic RBF; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Sammanfattning : Radial basis function methods exhibit several very attractive properties such as a high order convergence of the approximated solution and flexibility to the domain geometry. However the method in its classical formulation becomes impractical for problems with relatively large numbers of degrees of freedom due to the ill-conditioning and dense structure of coefficient matrix. LÄS MER

  3. 2. Parallel computational fluid dynamics on overlapping grids

    Författare :Stefan Nilsson; Chalmers tekniska högskola; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; partition of unity; line-implicit time-integration; incompressible flows; suspension feeders; benthic boundary layers; bivalves; computational fluid dunamics; Overlapping grids; parellel computing; grid partitioning;

    Sammanfattning : .... LÄS MER

  4. 3. Boundary Layer Approximate Approximations and Cubature of Potentials in Domains

    Författare :Tjavdar Ivanov; Per Lötstedt; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The goal of this thesis is to develop efficient numerical algorithms for approximation of functions defined on domains and apply these algorithms to obtain accurate semi-analytic cubature formulae for various integral operators. These algorithms are based on the method of "approximate approximations", introduced by V. Maz'ya in 1991. LÄS MER

  5. 4. Integral equations and function extension techniques for numerical solution of PDEs

    Författare :Fredrik Fryklund; Anna-Karin Tornberg; Alex Barnett; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Sammanfattning : Today many phenomena from science and engineering can be simulated accurately thanks to computational methods. Still, many challenges remain, one of them being close interface interactions when simulating e.g. the dynamics of a substance concentration in multiphase flows at the micro level. LÄS MER

  7. 5. High-Performance Finite Element Methods : with Application to Simulation of Diffusion MRI and Vertical Axis Wind Turbines

    Författare :Van-Dang Nguyen; Johan Hoffman; Johan Jansson; Axel Målqvist; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; High performance finite element method; computational diffusion MRI; turbulent flow; vertical axis wind turbine.; Computer Science; Datalogi;

    Sammanfattning : The finite element methods (FEM) have been developed over decades, and together with the growth of computer engineering, they become more and more important in solving large-scale problems in science and industry. The objective of this thesis is to develop high-performance finite element methods (HP-FEM), with two main applications in mind: computational diffusion magnetic resonance imaging (MRI), and simulation of the turbulent flow past a vertical axis wind turbine (VAWT). LÄS MER