Mr. Tong Sun Department of Mathematics, Texas A&M University
Title:
Locking-free Mixed Finite Element Methods for Naghdi
Shells
Time:
4:00pm, Wednesday, November 6, 1996
Place:
503 Blocker
Abstract:
In this talk a locking-free method, using mixed finite elements, is
introduced to approximate the soluton of Naghdi shell problems with
small parameter t, the thickness of the shell. The approach
of Arnold and Brezzi is employed with some important changes.
Instead of proving the discrete Inf-Sup condition for arbitrary
geometric coefficients, which does not seem possible, we prove a
weaker stability condition for smooth enough geometry coefficients,
which is sufficient for deducing the optimal error estimate while
h*h is less than t. For extremely small t, we
can either use a larger bubble space or stabilize the problem by
replacing t with t+h*h, so that an optimal error
estimate still holds.