Essays about: "Dirichlet-Neumann"

Found 2 essays containing the word Dirichlet-Neumann.

1. 1. Convergence Rate of the Dirichlet-Neumann Algorithm for Coupled Poisson Equations

   University essay from Lunds universitet/Matematik LTH

   Author : Morgan Görtz; [2019]
   Keywords : Dirichlet-Neumann; Dirichlet-Neumann algorithm; Poisson equation; convergence rate; finite element method; finite volume method; finite difference method; Mathematics and Statistics;

   Abstract : This thesis presents and tests the convergence rate of the Dirichlet-Neumann algorithm for two Poisson equations coupled by transmission boundary conditions. Three second order discretisation methods are used when analyzing the convergence: standard equidistant finite difference, standard adaptive linear finite element, and standard adaptive finite volume discretisation of Poisson's equation. READ MORE

3. 2. The Dirichlet-Neumann iteration – Three-field case: Methods and analyses

   University essay from Lunds universitet/Matematik LTH

   Author : Ivo Dravins; [2018]
   Keywords : Dirichlet-Neumann; three field; three domains; Laplace equation; Poisson equation; coupled heat equations; steady-state; Mathematics and Statistics;

   Abstract : We construct and analyze Dirichlet-Neumann iterations for the 1D Poisson equation. Specifically, we wish to gain insight into how the convergence depends on material coefficients when solving coupled linear heat equations on three non-overlapping domains. We first consider the two-domain case and then extend the method to three domains. READ MORE