Sökning: "Dirichlet-Neumann algorithm"

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

    Master-uppsats, Lunds universitet/Matematik LTH

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

    Sammanfattning : 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. LÄS MER