Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Dr. Kaibo Hu,School of Mathematics, University of Minnesota
Inviter:
张硕 副研究员
Title:
Finite elements for curvature
Time & Venue:
2019.6.10 11:00-12:00 Z301
Abstract:
We review the elasticity (linearized Calabi) complex, and its potential applications in continuum dislocation theory and differential geometry. We construct discrete finite element complexes. In particular, this leads to new finite element discretization for the Riemannian tensor and the linearized curvature operator. Compared with the classical discrete geometric approaches, e.g., the Regge calculus, the new elements are conforming. The construction is based on a Bernstein-Gelfand-Gelfand type diagram chase, or new Poincaré type path integral operators for the elasticity complex, which thus mimics the standard Nédélec and Raviart-Thomas elements for the de Rham complex. This is a joint work with Snorre H. Christiansen.
Appendix:
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