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Course Queries Syllabus Queries 2 years ago
Posted on 16 Aug 2022, this text provides information on Syllabus Queries related to Course Queries. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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If I wanted to figure out how to do a simulation with the Helmholtz equation, how would I do it? Or, what kinds of techniques would I have to learn in order to figure it out?
Background: 1st year Aero Engineering student (this isn't on our syllabus, just general interest)
Thanks!
One way to solve the Helmholtz equation rather directly in free space (i.e. the wave speed is constant) is to use a double or single layer potential. So we have
For example, given a smooth boundary ∂D⊂R3∂D⊂R3 and a function ϕ∈L2(∂D)ϕ∈L2(∂D), let
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