Abstract
An adaptive mesh refinement algorithm based on a continuous adjoint approach is developed. Both the primal equation and the adjoint equation are approximated with the discontinuous Galerkin (DG) method. The proposed adaptive algorithm is used in compressible Euler equations. Numerical tests are made to show the superiority of the proposed adaptive algorithm.
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Project supported by the National Natural Science Foundation of China (No. 91530325), the International Cooperation Project (No. 2010DFR00700), and the Fundamental Research of Civil Aircraft (No. MJ-F-2012-04)
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Yue, H., Liu, T. & Shaydurov, V. Continuous adjoint-based error estimation and its application to adaptive discontinuous Galerkin method. Appl. Math. Mech.-Engl. Ed. 37, 1419–1430 (2016). https://doi.org/10.1007/s10483-016-2102-6
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DOI: https://doi.org/10.1007/s10483-016-2102-6