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
candidate for singularly perturbed problems like
diffusion, compressible gas dynamics, nearly incompressible