Applied Mathematics and Mechanics >
Continuous adjoint-based error estimation and its application to adaptive discontinuous Galerkin method
Received date: 2016-01-25
Revised date: 2016-03-16
Online 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)
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
Huiqiang YUE, Tiegang LIU, V. SHAYDUROV . Continuous adjoint-based error estimation and its application to adaptive discontinuous Galerkin method[J]. Applied Mathematics and Mechanics, 2016 , 37(11) : 1419 -1430 . DOI: 10.1007/s10483-016-2102-6
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