Metody hraničních prvků vyšších řádů

Abstract

In this master thesis we will be concerned with a variant of boundary element method (BEM), which is using not only piecewise constant basis functions, but also piecewise polynomial ones. The text begins with a brief introduction and some fundamental terms. The third section is dedicated to Gaussian quadratures and their special variant, Gauss-log quadrature. Then, boundary integral formulation of boundary value problem for Laplace equation in 2D is discussed, including its numerical solution via BEM. In the last section, p-BEM is discussed and its comparison with classical BEM is provided.