摘要: In this article we give an overview of recent developments in error estima- tion and residual-based goal-oriented (adjoint-based) adaptation for Discontinuous Galerkin discretizations sub- supersonic viscous compressible flows. We also outlook on the planned continuation research EU project ADIGMA.
tudelft.nl参考文章(11)
Ralf Hartmann, Adaptive Fe Methods for Conservation Equations Birkhäuser, Basel. pp. 495- 503 ,(2001) , 10.1007/978-3-0348-8372-6_3
Ralf Hartmann, Paul Houston, Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal--Oriented A Posteriori Error Estimation ,(2005)
Paul Houston, Endre Süli, hp-Adaptive Discontinuous Galerkin Finite Element Methods for First-Order Hyperbolic Problems SIAM Journal on Scientific Computing. ,vol. 23, pp. 1226- 1252 ,(2001) , 10.1137/S1064827500378799
Ralf Hartmann, Paul Houston, Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations Journal of Computational Physics. ,vol. 183, pp. 508- 532 ,(2002) , 10.1006/JCPH.2002.7206
R. Hartmann, Adaptive discontinuous Galerkin methods with shock-capturing for the compressible Navier–Stokes equations International Journal for Numerical Methods in Fluids. ,vol. 51, pp. 1131- 1156 ,(2006) , 10.1002/FLD.1134
Ralf Hartmann, Paul Houston, Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws SIAM Journal on Scientific Computing. ,vol. 24, pp. 979- 1004 ,(2003) , 10.1137/S1064827501389084
Roland Becker, Rolf Rannacher, An optimal control approach to a posteriori error estimation in finite element methods Acta Numerica. ,vol. 10, pp. 1- 102 ,(2001) , 10.1017/S0962492901000010
Kenneth Eriksson, Don Estep, Peter Hansbo, Claes Johnson, Introduction to Adaptive Methods for Differential Equations Acta Numerica. ,vol. 4, pp. 105- 158 ,(1995) , 10.1017/S0962492900002531
Ralf Hartmann, Paul Houston, Symmetric Interior Penalty DG Methods for the Compressible Navier--Stokes Equations I: Method Formulation ,(2005)
Ralf Hartmann, Adaptive Finite Element Methods for the Compressible Euler Equations ,(2002) , 10.11588/HEIDOK.00002488