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

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 tes...

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Veröffentlicht in:Applied mathematics and mechanics 2016-11, Vol.37 (11), p.1419-1430
Hauptverfasser: Yue, Huiqiang, Liu, Tiegang, Shaydurov, V.
Format: Artikel
Sprache:eng
Schlagworte:
Adaptive algorithms
Algorithms
Applications of Mathematics
Classical Mechanics
Compressibility
Euler equations
Fluid- and Aerodynamics
Galerkin method
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Partial Differential Equations
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Zusammenfassung: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.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-016-2102-6