Mater.Phys.Mech.(MPM)
No 3, Vol. 32, 2017, pages 370-382

COMPARISON OF ADAPTIVE ALGORITHMS FOR SOLVING PLANE
PROBLEMS OF CLASSICAL AND COSSERAT ELASTICITY

M.A. Churilova, M.E. Frolov

Abstract

Paper continues developments and numerical testing of functional approach [1-3] to a posteriori error control for 2D problems of classical [2] and Cosserat elasticity [4,5]. The approach yields reliable error bounds (majorants) that are valid for all conforming solutions of problems regardless of methods used for a numerical implementation of a solution process. Efficiency of the above technique is shown on a set of numerical examples including consequent mesh adaptations with MATLAB tools as it was done [6].

Keywords: computational mechanics; a posteriori error estimates; finite element method.

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