Abstract
In this paper, we consider the adaptive finite element method for sound wave propagation problems in two kinds of media, which are the linear anisotropic acoustic materials (the cloak metamaterials and penetrable media) and the nonlinear acoustic materials. A posteriori error estimator based on the new flux recovery technique and a residual type posteriori error estimator are proposed. Based on our a posteriori error estimators, the adaptive finite element algorithm is given for numerical simulations of the Helmholtz equations in different media. Extensive numerical results demonstrate the effectiveness of the adaptive algorithm.
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Schedule a callMore From: Computers & mathematics with applications (Oxford, England : 1987)
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