Einladung zu einem Vortrag von:
Prof. Jay Gopalakrishnan
University of Florida
Mittwoch, 21. Juli 2004
13:45 Uhr, T 1010
New applications of hybridization for the Dirichlet problem
In this talk, we will discuss a new characterization of
the numerical solution given by hybridized mixed methods for the Dirichlet
problem. This result has several applications. It allows us to obtain
simple and explicit formulae for the entries of the matrix equation for
the Lagrange multiplier unknowns arising from hybridization. It leads to
the development of efficient preconditioners. It also helps us uncover a
previously unsuspected relationship between two popular independently
developed hybridizable mixed methods, namely the Raviart-Thomas and the
Brezzi-Douglas-Marini methods. Hybridization allows us to construct
variable degree versions of these methods with ease. We will show that
hybridization has theoretical uses as well by developing a technique of
error analysis by which the error estimates for all variables can be
obtained as corollaries of error estimates for the Lagrange multipliers.
While some of the error estimates obtained this way are known, others are
new.
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