Sökning: "Bengt Fornberg"

Hittade 2 avhandlingar innehållade orden Bengt Fornberg.

  1. 1. Domain Decomposition and Preconditioned Iterative Methods for the Helmholtz Equation

    Författare :Elisabeth Larsson; Kurt Otto; Bengt Fornberg; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Helmholtz equation; domain decomposition; preconditioned iterative method; fast transforms; parallelization; Numerical Analysis; Numerisk analys;

    Sammanfattning : New preconditioned iterative solution methods for the Helmholtz equation are constructed. To evaluate the performance of the methods, two-dimensional problems with a waveguide geometry are used as model problems. Second- and fourth-order accurate finite difference discretizations are used. LÄS MER

  3. 2. Oversampled radial basis function methods for solving partial differential equations

    Författare :Igor Tominec; Elisabeth Larsson; Bengt Fornberg; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; radial basis function; PDE; oversampling; stability; RBF-FD; RBF-PUM; unfitted;

    Sammanfattning : Partial differential equations (PDEs) describe complex real-world phenomena such as weather dynamics,  object deformations, financial trading prices, and fluid-structure interaction.  The solutions of PDEs are commonly used to enhance the understanding of these phenomena and also as leverage to make technological improvements to consumer products. LÄS MER