Note: Different Date and Location
Abstract:
In this talk we will discuss some recent developments in nonconforming finite
element methods and their applications.
In 1973 the linear nonconforming finite elements for triangles or tetrahedrons
and a cubic nonconforming element for triangles by Crouzeix and Raviart.
Such nonconforming elements have been proved very effectively applicable
to fluid mechanics and elasticity.
Corresponding quadrilateral elements have been proposed by
Han (1985), and Rannacher and Turek (1992), and later
the DSSY nonconforming element introduced by Douglas et al. in 1999,
which has been applied to solving Maxwell and Helmholtz equations.
Later, Park and Sheen (2002) developed 
-nonconforming quadrilateral
nonconforming elements, which has only 3 degrees of freedom for quadrilaterals
instead of 4 degrees of freedom.
Morley elements in higher dimension has been developed by Ming and Xu (2006) for
fourth-order problems.
while a quadratic nonconforming element on rectangle has been proposed recently
by Lee and Sheen (2006).
Several comparative aspects of the nonconforming elements and their applications to
topology optimization and Maxwell's equations in two or three dimension will be discussed.
This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.