Fachbereich Mathematik
Babuska's paradox in linear and nonlinear bending theories
Mathematisches Kolloquium im Sommersemester 2024
Wann?
19. Juni 2024, 17:15-19:00
Wo?
Hörsaal der Kernphysik
S2|14 24
Schlossgartenstr. 9
64289 Darmstadt
Veranstalter
FB Mathematik
Kontakt
Prof. Dr. Sören Bartels, Albert-Ludwigs-Universität Freiburg
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.
Tags
Mathematisches Kolloquium, Mathematik, Numerik