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Advanced FEM techniques

This is an advanced monographic course on the numerical analysis of PDEs using state-of-the-art nonconforming and discontinuous finite element methods. This will include very recent research on the development of methods on extremely general meshes, such as virtual elements and discontinuous Galerkin methods. 

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Numerical Solution of PDEs

This course provides a high level overview on the numerical solution of partial differential equations. All major classes of numerical methods will be analysed within a rigorous mathematical setting. Key aspects, such as consistency and stability, will be thoroughly investigated, providing the guidelines for the correct choice and implementation of numerical methods for a range of problems.

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