MathLab seminar announcement

[Emanuele Tuillier Illingworth]

MATHLAB SEMINAR ANNOUNCEMENT
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Date: Wednesday, 16 December, 2015 - 15:30

Speaker: Pablo Antolin Sanchez (Dipartimento di Matematica, Università 
degli studi di Pavia)

Room: SISSA - Santorio A - room 133

Abstract:
  Some of the very well-known locking issues that were studied for many 
years by the finite element community arise again for recently 
introduced isogeometric discretizations. These discretizations present 
some characteristics that prevent old recipes for locking problems to be 
applied: they do not solve the problem, are far from optimal or present 
stability issues. We present here new developments for dealing with some 
locking difficulties present in continuum mechanics problems. For 
nearly-incompressible elasticity problems, we propose a new method based 
on the projection of volumetric stresses onto new discontinuous spaces 
built upon coarser grids. With the proper choice of the projection 
spaces, this approach is able to tackle the locking problem, guarantees 
the optimal convergence of the method and its stability. Moreover, the 
locality of the projector allows to preserve the sparsity of the 
stiffness matrix, that is, efficiency. In a similar way, solid shell 
locking problems are alleviated also by the proper projection of the 
involved strain components onto local spaces.

-- 
Dr. Emanuele Tuillier Illingworth
Secretary of the Mathematics Area
Building A, II floor, room 214
phone (+39) 040 37 87 598
fax (+39) 040 37 87 466
SISSA
Via Bonomea 265
34136
Trieste, ITALY
emanuele.tuillier at sissa.it