Search for dissertations about: "jelena popovic"

Found 2 swedish dissertations containing the words jelena popovic.

  1. 1. A Fast Method for Solving the Helmholtz Equation Based on Wave Splitting

    Author : Jelena Popovic; Olof Runborg; Elisabeth Larsson; KTH; []
    Keywords : Helmholtz equation; high fequency waves;

    Abstract : In this thesis, we propose and analyze a fast method for computing the solution of the Helmholtz equation in a bounded domain with a variable wave speed function. The method is based on wave splitting. The Helmholtz equation is first split into one--way wave equations which are then solved iteratively for a given tolerance. READ MORE

  2. 2. Fast Adaptive Numerical Methods for High Frequency Waves and Interface Tracking

    Author : Jelena Popovic; Olof Runborg; Hongkai Zhao; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; high frequency waves; Helmholtz equation; interface tracking; time-space adaptivity; multiresolution; Hamilton-Jacobi;

    Abstract : The main focus of this thesis is on fast numerical methods, where adaptivity is an important mechanism to lowering the methods' complexity. The application of the methods are in the areas of wireless communication, antenna design, radar signature computation, noise prediction, medical ultrasonography, crystal growth, flame propagation, wave propagation, seismology, geometrical optics and image processing. READ MORE