Mathematisches Kolloquium: Babuska's paradox in linear and nonlinear bending theories

Wann
Donnerstag, 12. Dezember 2024
17 bis 0 Uhr

Wo
G201

Veranstaltet von

Vortragende Person/Vortragende Personen:
Soeren Bartels, University of Freiburg, Germany

Abstract: The plate bending or Babuska paradox refers to the failure of convergence when a linear bending problem with simple support boundary conditions is approximated using polygonal domain approximations. We provide an explanation based on a variational viewpoint and identify sufficient conditions that avoid the paradox and which show that boundary conditions have to be suitably modified. We show that the paradox also matters in nonlinear thin-sheet folding problems and devise approximations that correctly converge to the original problem.