Essays about: "Ivo Dravins"

Found 2 essays containing the words Ivo Dravins.

1. 1. 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

3. 2. Numerical Implementations of the Generalized Minimal Residual Method (GMRES)

   University essay from Lunds universitet/Matematik LTH

   Author : Ivo Dravins; [2015]
   Keywords : Generalized Minimal Residual Method; Jacobian-free; GMRES; Householder; Givens rotations; Gram-Schmidt; Mathematics and Statistics;

   Abstract : The generalized minimal residual method (GMRES) is an iterative method used to find numerical solutions to non-symmetric linear systems of equations. The method relies on constructing an orthonormal basis of the Krylov space and is thus vulnerable to an imperfect basis caused by computational errors. READ MORE