Strong and Weak Norm Refinement Indicators Based on the Finite Element Residual for Compressible Flow Computation : I. The Steady Case

Abstract We present an adaptive strategy to be used in the computation of compressible fluid flow with finite-volume methods. The refinement indicators used are based on the finite element residual. Heuristic arguments are given to motivate the use of ideas from linear problems. Two-dimensional examples are presented.