Computer Solutions of Continuum Physics Problems - NMOD041
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The goal of the course is to introduce students to modern methods for numerical solution of systems of partial differential equations obtained by mathematical modeling of continuum mechanics problems (heat transfer, fluid flow, elastic deformation, etc.). The course includes overview of the basic commercial software for numerical computation (Matlab, Femlab) and its application to solution of PDEs. Further overview and practical use of the basic numerical libraries (Blas, Lapack, Petsc, etc. ), finite element libraries (Feat, Featflow) and libraries for paralel computation (MPI, OpenMP).
Last update: T_MUUK (24.05.2006)
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Solving a partial differential equation using Femlab
Overview of the basic components for finite element solution of partial differential equations: domain description and discretization, basis function implementation (parametric, non-parametric finite elements), boundary condition implementation, efficient linear system assembly, solution of large, sparse linear systems (direct, preconditioned iterative, multigrid methods)
Nonlinear problems, fixed point method, Newton method.
Example applications: the heat transfer equation, the Navier--Stokes equation, the elastic deformation equation
Advanced models (fluid-structure interaction) Last update: T_MUUK (24.05.2006)
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