- The student is familiar with the construction of finite elements for steady-state elliptic problems and their main properties.
- The student is familiar with the mathematical analysis of finite elements concerning stability and error estimates.
- The student is familiar with the finite element approximation of time-dependent problems.
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Partial differential equations (PDEs) describe the laws of nature around us. They appear as mathematical models in a wide variety of physical contexts, from the evolution of heat over time to the fluid dynamics and the propagation of sound waves. In reality, they are too complicated to be solved exactly, and so numerical methods are essential. This course will introduce one of the most popular numerical techniques for solving PDEs: the finite element method. We will combine learning about the mathematical aspects of finite elements, such as stability and accuracy, with their practical implementation.
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Analysis 2 (multivariable calculus), knowledge of Ordinary Differential Equations (ODEs) and Numerical Methods for ODEs.
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Written exam (oral if the number participants is low) and assignments.
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This course will be taught in English.
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