Solutions of partial differential equations: application to the wave propagation problem
This training course aims to foster a better understanding of software based on the finite element method which is often used as a black box, aiming to avoid errors while taking a critical look at the obtained solutions. It looks at how to find a solution to partial differential equations in space and time. Particular attention will be paid to the equations of the waves propagation. The variational formulation as well as the existence and the uniqueness of the solution will be analyzed.
| Target participants:
This training session is for engineers, physicists, computer scientists and numerical analysts who wish to develop or use applications based on the finite element method. Prerequisites: Basic knowledge of linear algebra and numerical analysis. Scientific contact: Florence MILLOT Fee: - Public: 600 € - CERFACS shareholders/CNRS/INRIA: 300 € - Students: 100 € |
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| Program |
| (Every day from 9h to 17h30) |
| Day 1 |
| • The objectives of the first day are to explain the scientific bases of the method (variational formulation, principle of Lax-Milgram, the adequate spaces). Then, will be analyzed the spatial discretization as well as the assembly method. |
| Day 2 |
| • The second day of this lecture course is more dedicated to the new methods such as the Discontinuous Galerkin techniques. |
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