University of Cambridge > Talks.cam > Applied and Computational Analysis > Numerical analysis of high frequency wave scattering via semiclassical analysis: a case study with non-uniform meshes

  Browse A-Z

Log in

Googledetails Microsoftdetails

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Numerical analysis of high frequency wave scattering via semiclassical analysis: a case study with non-uniform meshes

Download to your calendar using vCal

If you have a question about this talk, please contact Matthew Colbrook .

In recent years, semiclassical analysis has significantly advanced our understanding of numerical algorithms for high-frequency wave scattering. This talk will begin with an overview of how semiclassical methods have influenced the theory of numerical methods for frequency-domain wave problems. As a case study, we will then focus on the finite element method (FEM), a classical approach for approximating solutions to high-frequency scattering problems. In FEM , the solution is typically approximated using piecewise polynomials of degree p on a mesh of width h. A fundamental question is then: how should h be chosen (as a function of the frequency, k) so that the error in the numerical solution is small? It has been known since the seminal work of Babuska and Ihlenberg that the natural conjecture hk<

This talk is part of the Applied and Computational Analysis series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Room 132, CRI Faculty of Education, 184 Hills Road, Cambridge, CB2 8PQ, Room GS4 The Courtyard, William Gates Building

Other talks

Title to be confirmed Welcome Reception and Poster Session Novel neuroimaging methods in Lewy body dementia Title TBC Title tbc Tea and Coffee Break
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity