PDE-constrained optimization with error estimation and control
暂无分享,去创建一个
[1] D. Venditti,et al. Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows , 2003 .
[2] Michael B. Giles,et al. Adjoint and defect error bounding and correction for functional estimates , 2003 .
[3] George Trapp,et al. Using Complex Variables to Estimate Derivatives of Real Functions , 1998, SIAM Rev..
[4] Jason E. Hicken,et al. Induced-Drag Minimization of Nonplanar Geometries Based on the Euler Equations , 2010 .
[5] D. Quagliarella,et al. Airfoil and wing design through hybrid optimization strategies , 1998 .
[6] O. Pironneau. On optimum design in fluid mechanics , 1974 .
[7] James Lu,et al. An a posteriori Error Control Framework for Adaptive Precision Optimization using Discontinuous Galerkin Finite Element Method , 2005 .
[8] Mohamed Gad-el-Hak,et al. New Approach to Constrained Shape Optimization Using Genetic Algorithms , 1998 .
[9] D. Gottlieb,et al. A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations , 1988 .
[10] T. Pulliam,et al. Multipoint and Multi-Objective Aerodynamic Shape Optimization , 2002 .
[11] Jason E. Hicken,et al. Superconvergent Functional Estimates from Summation-By-Parts Finite-Difference Discretizations , 2011, SIAM J. Sci. Comput..
[12] Antony Jameson,et al. Aerodynamic design via control theory , 1988, J. Sci. Comput..
[13] David E. Keyes,et al. Aerodynamic applications of Newton- Krylov-Schwarz solvers , 1995 .
[14] D. Venditti,et al. Adjoint error estimation and grid adaptation for functional outputs: application to quasi-one-dimensional flow , 2000 .
[15] Rolf Rannacher,et al. An optimal control approach to a posteriori error estimation in finite element methods , 2001, Acta Numerica.
[16] M. Giles,et al. Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality , 2002, Acta Numerica.
[17] W. K. Anderson,et al. Airfoil Design on Unstructured Grids for Turbulent Flows , 1999 .
[18] Jorge Nocedal,et al. On the limited memory BFGS method for large scale optimization , 1989, Math. Program..
[19] Ralf Hartmann,et al. Adjoint Consistency Analysis of Discontinuous Galerkin Discretizations , 2007, SIAM J. Numer. Anal..
[20] David W. Zingg,et al. Numerical aerodynamic optimization incorporating laminar-turbulent transition prediction , 2007 .
[21] C. Allen,et al. Domain-Element Method for Aerodynamic Shape Optimization Applied to a Modern Transport Wing , 2009 .
[22] Y. Saad,et al. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .
[23] Kazuhiro Nakahashi,et al. Inverse design optimization of transonic wings based on multi-objective genetic algorithms , 1999 .
[24] R. M. Hicks,et al. Wing Design by Numerical Optimization , 1977 .
[25] Michael B. Giles,et al. Adjoint Recovery of Superconvergent Functionals from PDE Approximations , 2000, SIAM Rev..
[26] D. Gottlieb,et al. Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: methodology and application to high-order compact schemes , 1994 .
[27] Oktay Baysal,et al. Three-dimensional aerodynamic shape optimization using discrete sensitivity analysis , 1996 .
[28] D. Darmofal,et al. Review of Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics , 2011 .