Solving Maxwell's equations in time: from Yee splitting to Krylov exponential methods

Mike Botchev, PhD, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow

2 Aug 2018, 10:00–11:30; Location: S2|17-103

Solving Maxwell's equations in time domain efficiently is a nontrivial task and represents a fascinating research area. This talk will consist of two parts. In the first part a brief introduction to time integration methods for Maxwell's equations will be given. In particular, we will discuss

(1) why the celebrated Yee scheme (often used in Finite Difference Time Domain (FDTD) computations) is successful and how it can be generalized to higher order methods, to finite element discretizations in space and to treat damping terms;

(2) why fully implicit methods are often not efficient for Maxwell's equations;

(3) why exponential time integration methods (unlike implicit methods) can be made competitive for these problems.

In the second part of the talk speaker's recent work on solving a particular photonics problem with multiple source terms by Krylov exponential methods will be discussed. For this application Krylov exponential methods allowed a significant speed up in computing times. This part is speaker's joint work with Abel Hanse and Ravitej Uppu.

Category: CE Seminar


Technische Universität Darmstadt

Graduate School CE
Dolivostraße 15
D-64293 Darmstadt

Phone+49 6151/16-24401    or
Fax+49 6151/16-24404

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