Institut für Angewandte Mathematik
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Lecture in winter term 2023/2024 |
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Numerical Mathematics 4 | ||
Content | ||
More detailed analysis and application of finite element methods in particular mixed methods. Mixed methods denote a class of finite element methods which have more than one approximation space. Typical examples are saddle point problems with Lagrangian multipliers to satisfy constraints. The unique solvability of these problems follows from coercivity and the inf-sup condition. However, not all choices of finite element spaces lead to convergent approximations. In particular, the discrete inf-sup condition, also known as BBL condition, must be satisfied. This can be guaranteed by an appropriate, problem depending choice of the finite element spaces. Examples arise in electromagnetics, elasticity, and fluid mechanics. In addition, these methods play an important role in the coupling of different discretization methods, different ansatz spaces (non-matching grids), and different fields. | ||
Previous knowledge expected | ||
Computational Mathematics 3, Partial Differential Equations | ||
Scheduled dates | ||
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Exam | ||
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Exercise course | ||
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Selected References | ||
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Contact | ||
contact and office hours |