Robust regularization of topology optimization problems with a posteriori error estimators
暂无分享,去创建一个
[1] Yi Min Xie,et al. Evolutionary Structural Optimization , 1997 .
[2] O. Sigmund. Morphology-based black and white filters for topology optimization , 2007 .
[3] R. B. Haber,et al. Perimeter Constrained Topology Optimization of Continuum Structures , 1996 .
[4] S. Yamasaki,et al. Heaviside projection based topology optimization by a PDE-filtered scalar function , 2011 .
[5] Qing Li,et al. Evolutionary topology and shape design for general physical field problems , 2000 .
[6] Ole Sigmund,et al. Design of photonic bandgap fibers by topology optimization , 2010 .
[7] Hejun Du,et al. Convex analysis for topology optimization of compliant mechanisms , 2001 .
[8] David A. Ham,et al. An Algorithm for the Optimization of Finite Element Integration Loops , 2016, ACM Trans. Math. Softw..
[9] G. Buttazzo,et al. An optimal design problem with perimeter penalization , 1993 .
[10] James K. Guest,et al. Achieving minimum length scale in topology optimization using nodal design variables and projection functions , 2004 .
[11] Ole Sigmund,et al. On the Design of Compliant Mechanisms Using Topology Optimization , 1997 .
[12] Shengli Xu,et al. Volume preserving nonlinear density filter based on heaviside functions , 2010 .
[13] Jihong Zhu,et al. Topology optimization of heat conduction problem involving design-dependent heat load effect , 2008 .
[14] B. Bourdin. Filters in topology optimization , 2001 .
[15] K. Bathe,et al. Review: A posteriori error estimation techniques in practical finite element analysis , 2005 .
[16] Ramana V. Grandhi,et al. A survey of structural and multidisciplinary continuum topology optimization: post 2000 , 2014 .
[17] Yi Min Xie,et al. Basic Evolutionary Structural Optimization , 1997 .
[18] Thomas Grätsch,et al. Review: A posteriori error estimation techniques in practical finite element analysis , 2005 .
[19] J. Petersson,et al. Slope constrained topology optimization , 1998 .
[20] Christophe Geuzaine,et al. Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities , 2009 .
[21] J. Petersson,et al. Topology optimization using regularized intermediate density control , 2001 .
[22] James K. Guest,et al. Eliminating beta-continuation from Heaviside projection and density filter algorithms , 2011 .
[23] Jeff Jones,et al. Physarum computing and topology optimisation , 2017, Int. J. Parallel Emergent Distributed Syst..
[24] Frithiof I. Niordson,et al. Optimal design of elastic plates with a constraint on the slope of the thickness function , 1983 .
[25] O. Sigmund,et al. Topology optimization approaches , 2013, Structural and Multidisciplinary Optimization.
[26] Andrew T. T. McRae,et al. Firedrake: automating the finite element method by composing abstractions , 2015, ACM Trans. Math. Softw..
[27] G. Allaire,et al. Structural optimization using sensitivity analysis and a level-set method , 2004 .
[28] Yi Min Xie,et al. Evolutionary structural optimisation (ESO) using a bidirectional algorithm , 1998 .
[29] Ole Sigmund,et al. A 99 line topology optimization code written in Matlab , 2001 .
[30] Y. Xie,et al. A simple evolutionary procedure for structural optimization , 1993 .
[31] Andrew T. T. McRae,et al. Automated Generation and Symbolic Manipulation of Tensor Product Finite Elements , 2014, SIAM J. Sci. Comput..
[32] C. S. Jog,et al. A new approach to variable-topology shape design using a constraint on perimeter , 1996 .
[33] T. E. Bruns,et al. Topology optimization of non-linear elastic structures and compliant mechanisms , 2001 .
[34] M. Bendsøe,et al. Topology optimization of heat conduction problems using the finite volume method , 2006 .
[35] Kongtian Zuo,et al. STRUCTURAL OPTIMAL DESIGN OF HEAT CONDUCTIVE BODY WITH TOPOLOGY OPTIMIZATION METHOD , 2005 .
[36] O. Sigmund,et al. Filters in topology optimization based on Helmholtz‐type differential equations , 2011 .