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

Continuous adjoint-based error estimation and its application to adaptive discontinuous Galerkin method
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摘要 An adaptive mesh refinement algorithm based on a continuous adjoint ap- proach 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. Abstract An adaptive mesh refinement algorithm based on a continuous adjoint ap- proach 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2016年第11期1419-1430,共12页 应用数学和力学(英文版)
基金 Project supported by the National Natural Science Foundation of China(No.91530325) the International Cooperation Project(No.2010DFR00700) the Fundamental Research of Civil Aircraft(No.MJ-F-2012-04)
关键词 adaptivity discontinuous Galerkin (DG) ADJOINT adaptivity, discontinuous Galerkin (DG), adjoint
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