This spring school focuses on the numerical approximation of complex wave propagation phenomena in heterogeneous and high-frequency contexts. Application examples range from classical scattering problems to wave propagation in metamaterials. These types of problems present significant challenges to standard discretization methods, as they often necessitate extremely fine meshes to produce meaningful approximations. The school will present strategies for reliable simulations at a feasible computational cost using problem-specific discretization techniques.
Topics include:
• FEM for the high-frequency Helmholtz equation: from the pollution effect to non-uniform ray-adapted meshes (Martin Averseng, Euan Spence)
• Multiscale methods with applications in wave propagation (Barbara Verfürth)
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