2D wave scattering from an obstacle |
My goal is for you to learn the theory and
practice of boundary-based numerical methods for partial
differential equations. I expect to focus on Helmholtz's equation,
which describes linear waves (acoustics, electromagnetics, optics,
etc) in the frequency domain, and is incredibly useful in
engineering/physics. Boundary
methods are easier to code than Finite Elements,
and are very efficient especially at short wavelengths.
The course will split roughly into wave scattering (first part) and
eigenmodes of the Laplacian (second part).
You will use tools you build to explore
some wave asymptotics such as WKB, ray methods, and quantum
chaos, or spectral geometry.
Jump to... Schedule, Resources, or Flyer, tentative Syllabus, Class Homework/Projects |
Assessment: (Note you may work in groups of 2-3)
intro.m
.
figure1.ps
is a file in the
same directory, for instance a figure file printed to file from Matlab.