Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	胡凯博博士，University of Oxford
Inviter:	张硕副研究员
Title:	Bounded Poincaré maps for BGG complexes
Time & Venue:	2022.11.14 19:30-20:30 腾讯会议：637-458-241
Abstract:	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 ?ap.