Dr. Kaibo Hu, University of Oxford

Shuo Zhang, Associate Professor

Bounded Poincaré maps for BGG complexes

19:30-20:30 November 14(Monday), Tencent Meeting ID: 637-458-241

Poincaré integral operators give explicit potential and provide an inverse of differential operators in the sense of null-homotopy. These operators play a key role in the mathematical and numerical analysis of fluid and electromagnetic problems. Consequences include the well-posedness of the Stokes problem and p-robustness of high order finite element methods. In this talk, we derive such operators for the Bernstein-Gelfand-Gelfand (BGG) complexes with potential applications in elasticity and relativity. The idea is to carry over the results for the de-Rham complex by Costabel and McIntosh to these cases by homological algebra. This is a joint work with Andreas Čap.