Strategies for adaptive optimization with aggregation constraints using interior-point methods

[1]  T. Rutherford,et al.  Nonlinear Programming , 2021, Mathematical Programming Methods for Geographers and Planners.

[2]  Stephen J. Wright,et al.  Numerical Optimization , 2018, Fundamental Statistical Inference.

[3]  Graeme J. Kennedy,et al.  Improved constraint-aggregation methods , 2015 .

[4]  Joaquim R. R. A. Martins,et al.  A parallel aerostructural optimization framework for aircraft design studies , 2014 .

[5]  Joaquim R. R. A. Martins,et al.  A parallel finite-element framework for large-scale gradient-based design optimization of high-performance structures , 2014 .

[6]  Jason E. Hicken.  Inexact Hessian-vector products in reduced-space differential-equation constrained optimization , 2014, Optimization and Engineering.

[7]  Erik Holmberg,et al.  Stress constrained topology optimization , 2013, Structural and Multidisciplinary Optimization.

[8]  Beckett Yx Zhou,et al.  Airfoil Optimization Using Practical Aerodynamic Design Requirements , 2010 .

[9]  Julián A. Norato,et al.  Stress-based topology optimization for continua , 2010 .

[10]  Joaquim R. R. A. Martins,et al.  Structural topology optimization for multiple load cases using a dynamic aggregation technique , 2009 .

[11]  F. Navarrina,et al.  Topology optimization of continuum structures with local and global stress constraints , 2009 .

[12]  Jorge Nocedal,et al.  Adaptive Barrier Update Strategies for Nonlinear Interior Methods , 2008, SIAM J. Optim..

[13]  Joaquim R. R. A. Martins,et al.  An adaptive approach to constraint aggregation using adjoint sensitivity analysis , 2007 .

[14]  Lorenz T. Biegler,et al.  On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming , 2006, Math. Program..

[15]  Jan Vlcek,et al.  Interior point methods for large-scale nonlinear programming , 2005, Optim. Methods Softw..

[16]  J. Alonso,et al.  A Coupled-Adjoint Sensitivity Analysis Method for High-Fidelity Aero-Structural Design , 2005 .

[17]  Joaquim R. R. A. Martins,et al.  The complex-step derivative approximation , 2003, TOMS.

[18]  Joaquim R. R. A. Martins,et al.  High-Fidelity Aerostructural Design Optimization of a Supersonic Business Jet , 2002 .

[19]  T. E. Bruns,et al.  Topology optimization of non-linear elastic structures and compliant mechanisms , 2001 .

[20]  Lorenz T. Biegler,et al.  New strategies for flexibility analysis and design under uncertainty , 2000 .

[21]  Stephen J. Wright,et al.  Numerical Optimization (Springer Series in Operations Research and Financial Engineering) , 2000 .

[22]  Jorge Nocedal,et al.  An Interior Point Algorithm for Large-Scale Nonlinear Programming , 1999, SIAM J. Optim..

[23]  Lorenz T. Biegler,et al.  Dynamic Process Optimization through Adjoint Formulations and Constraint Aggregation , 1999 .

[24]  George Trapp,et al.  Using Complex Variables to Estimate Derivatives of Real Functions , 1998, SIAM Rev..

[25]  Ren-Jye Yang,et al.  Stress-based topology optimization , 1996 .

[26]  D. T. Nguyen,et al.  Generalized exponential penalty function for nonlinear programming , 1994 .

[27]  Jorge Nocedal,et al.  Representations of quasi-Newton matrices and their use in limited memory methods , 1994, Math. Program..

[28]  M. L. Bucalém,et al.  Higher‐order MITC general shell elements , 1993 .

[29]  Zhi Wang,et al.  The second order adjoint analysis: Theory and applications , 1992 .

[30]  K. Svanberg.  The method of moving asymptotes—a new method for structural optimization , 1987 .

[31]  J. Nocedal.  Updating Quasi-Newton Matrices With Limited Storage , 1980 .

[32]  G. Kreisselmeier,et al.  SYSTEMATIC CONTROL DESIGN BY OPTIMIZING A VECTOR PERFORMANCE INDEX , 1979 .

[33]  Erik Kaestner,et al.  Finite Element Method Linear Static And Dynamic Finite Element Analysis , 2016 .

[34]  Thomas J. R. Hughes,et al.  Isogeometric shell analysis: The Reissner-Mindlin shell , 2010 .

[35]  J. L. Walsh,et al.  Efficient structural optimization for multiple load cases using adjoint sensitivities , 2001 .

[36]  Jorge Nocedal,et al.  A trust region method based on interior point techniques for nonlinear programming , 2000, Math. Program..

[37]  D. Bertsekas.  Nonlinear Programming , 1995 .

[38]  Gregory A. Wrenn,et al.  An indirect method for numerical optimization using the Kreisselmeir-Steinhauser function , 1989 .