Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (11): 1419-1430.doi: https://doi.org/10.1007/s10483-016-2102-6

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Continuous adjoint-based error estimation and its application to adaptive discontinuous Galerkin method

Huiqiang YUE, Tiegang LIU, V. SHAYDUROV   

  1. Key Laboratory of Mathematics, Informatics and Behavioral Semantics, Ministry of Education, School of Mathematics and Systems Science, Beihang University, Beijing 100191, China
  • Received:2016-01-25 Revised:2016-03-16 Online:2016-11-01 Published:2016-11-01
  • Supported by:

    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)

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.

Key words: adaptivity, discontinuous Galerkin(DG), adjoint

2010 MSC Number: 

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