Numerical Analysis and PDE

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All talks will be online, on Fridays from 11 a.m. to noon, followed by a 30-minutes interaction with the speaker on zoom. The Zoom room will be available from 10:30 a.m., and requires a passcode to access. The passcode will be sent in the weekly seminar announcement. If you are interested, but do not have access to the passcode, please contact Dr. Qiu, jingqiu@udel.edu​​

Want to suggest a speaker? Send email to the organizer, Jingmei Qiu.

Information about the Courtyard Newark - University of Delaware Hotel.​

 

 

Dr. William Taitano, Air Force Research Lab151Dr. William Taitano, Air Force Research Lab2/11/2022 4:00:00 PM2/11/2022 5:00:00 PM
Professor Peter Monk, University of Delaware148Professor Peter Monk, University of Delaware<p>​<span class="wrap-text"><strong>Title:</strong> Development of a coupled Trefftz and finite element method for approximating Maxwell's equations<br><strong>Abstract:</strong> The talk focuses on a discontinuous Galerkin method for the time harmonic Maxwell system. This method is based on the use of a finite element grid, but uses plane wave solutions of Maxwell's equations on each element to approximate the global field. Because each basis function satisfies Maxwell's equations, the problem can be reduced to a coupled linear system on the faces of the grid. Arbitrarily high order of convergence can be achieved by taking more planes waves in suitable directions element by element, although ill-conditioning must be carefully controlled. Unfortunately this method has severe deficiencies when applied to some resonant problems. To remedy this, we have tried to couple polynomial finite element methods with the plane wave scheme. I shall report on the current state of this effort.</span><br></p>2/18/2022 4:00:00 PM2/18/2022 5:00:00 PM
Dr. Hong Zhang, Argonne National Lab152Dr. Hong Zhang, Argonne National Lab4/22/2022 3:00:00 PM4/22/2022 4:00:00 PM

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