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Multigrid and multiscale solution methods

Course Code :2001WETMMO
Study domain:Mathematics
Academic year:2019-2020
Semester:1st semester
Contact hours:45
Credits:6
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:Dutch
Exam period:exam in the 1st semester
Lecturer(s)Siegfried Cools

3. Course contents *

This course discusses the numerical solution methods that make use of the different length scales present in the problem.

The Poisson problem, for example, can be solved very efficiently with the help of a hierarchy of discretizations.  Each discretisation looks at the problem from a different length scale and removes the error on that scale.

The course starts with an analysis of the convergence of  Jacobi and Gauss-Seidel iterations. Next, the hierarchy and the interpolations and restriction operators are introduced. In the following chapters the inner workings of the multigrid algorithm is analyzed.