Hilbert Complexes: Analysis, Applications, and Discretizations

  • Ana Alonso Rodriguez

    Università degli Studi di Trento, Italy
  • Douglas N. Arnold

    University of Minnesota, Minneapolis, USA
  • Dirk Pauly

    Technische Universität Dresden, Germany
  • Francesca Rapetti

    Université de Nice Sophia-Antipolis, France

Abstract

In this workshop 70 (43 at MFO, 27 online) leading mathematicians from Europe, United States, China, and Australia met at the MFO to discuss and present new developments in the mathematical and numerical analysis including discretizations of Hilbert complexes related to systems of partial differential equations, in particular the well known de Rham complex and the complexes of elasticity and the biharmonic equations. The report at hand offers the extended abstracts of their talks.

Cite this article

Ana Alonso Rodriguez, Douglas N. Arnold, Dirk Pauly, Francesca Rapetti, Hilbert Complexes: Analysis, Applications, and Discretizations. Oberwolfach Rep. 19 (2022), no. 2, pp. 1603–1659

DOI 10.4171/OWR/2022/29