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

Author

Yue, Huiqiang, Liu, Tiegang, and Shaydurov, V.

Subjects
*GALERKIN methods, *ERROR analysis in mathematics, *DISCONTINUOUS functions, *EULER equations, *COMPRESSIBLE flow
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. [ABSTRACT FROM AUTHOR]

Published
2016
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