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New DG methods for electromagnetism

Program in Applied Mathematics Colloquium

New DG methods for electromagnetism
Series: Program in Applied Mathematics Colloquium
Location: Hybrid: MATH 501/Online
Presenter: Bernardo Cockburn, Department of Mathematics, University of Minnesota

 

We introduce the first DG methods with time-operators in their numerical traces. The time-operators are devised in such a way that the resulting semi discrete methods conserve the energy. Taking advantage of the Hamiltonian structure of Maxwell’s equations, a time-marching symplectic method is applied which renders the resulting fully discrete method energy-conserving, or with an energy which does not drift. 

This is joint work with Shukai Du and Manuel Sanchez.

 

Place: Hybrid: Math 501 and
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