ADAPTIVE P-VERSION FINITE ELEMENT METHOD FOR TRANSIENT FLOW PROBLEMS WITH MOVING BOUNDARIES.
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We present in this paper a review of some preliminary results on the development of self-adaptive finite element methods for use in the study of transient two-dimensional flow problems in domains with moving boundaries. This study focuses on the so-called p-version of the finite element method, in which the degree p of the local polynomial shape functions is increased to enrich the quality of the appproximation while the mesh size is kept fixed.