Introduction to Finite Elements and Sparse Linear System Solving
The finite element (FE) method is the method of choice for (approximately) solving partial differential equations on complicated domains. In the first third of the lecture, we give an introduction to the method. The rest of the lecture will be devoted to methods for solving the large sparse linear systems of equation that a typical for the FE method. We will consider direct and iterative methods.
Students will know the most important direct and iterative solvers for sparse linear systems. They will be able to determine which solver to choose in particular situations.
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