In the introductory part of the talk, we explain the notion of a micropolar fluid and present several new theoretical results in this field.
Then we develop and/or analyse robust block preconditioners for nonsymmetric saddle point problems. We show that block diagonal and block triangular preconditioners are optimal in the sense that the convergence speed of an iterative solver is independent of the problem size. We present applications of this theory to Oseen, Navier-Stokes and micropolar equations, together with results of numerical experiments.
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