Course Details

Solution methods of sparse symmetric algebraic systems of equations resulting from the application of the finite element method in structural mechanics problems. Algorithmic description of the Gauss direct solution method and its variations. Iterative solution methods. Steepest descent and conjugate gradient methods. Preconditioning techniques based on SSOR and incomplete Choleski methods. Methods of direct integration of dynamic equations of motion. Explicit and implicit methods. Newmark and Wilson-θ methods for elliptic problems, α-method for parabolic problems. Solution methods of the partial eigenvalue problem. Subspace iteration and Lanczos methods. Domain decomposition methods. Global, primal (Schur complement), dual domain decomposition methods. Parallel programming paradigms. Implementation in parallel and distributed computing environments.