Solution Methods in Computational Mechanics (EM-JMBC)

Date: 5th - 6th December 2020

Location: TU/e, Eindhoven, Netherlands

Partial differential equations (PDEs) are ubiquitous in mechanics, describing a wide range of phenomena like stresses in a solid or waves. In this course we will address some numerical methods for PDEs. In particular, we will discuss discretisation methods for PDEs and time integration methods for the resulting ODE systems. The following topics are included:

– Classification of second order PDEs
– Finite difference methods for the Poisson equation (central differences, compact scheme)
– Finite volume methods for generic elliptic PDEs
– Advanced time integration methods for parabolic equations
– Discretisation methods for the wave equation (second and fourth order schemes)
– Riemann solvers for hyperbolic systems

The discretisation and time integration methods will be analysed in terms of accuracy and stability. We like to emphasize that finite element methods are not covered in this course. The course will include a number of computer sessions with MATLAB, in which the participants can put in practice the numerical methods introduced. The required prior knowledge is elementary numerical analysis.
Coordinator: Jan ten Thije Boonkkamp, Martijn Anthonissen (TUE)

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