Finite elemet methods

Tuesday, November 2, 2010 - 3:45pm - 4:30pm
Leszek Demkowicz (The University of Texas at Austin)
Joint work with Jay Golapalakrishnan, U. Florida.

Adaptive finite elements vary element size h or/and
polynomial order p to deliver approximation properties superior
to standard discretization methods. The best approximation
may converge even exponentially fast to zero as a function of
problem size (CPU time, memory). The adaptive methods are thus
a natural
candidate for singularly perturbed problems like
diffusion, compressible gas dynamics, nearly incompressible
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