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Control in the coefficients with variational crimes

Authors
Publisher
Elsevier BV
Publication Date
Keywords
  • Application To Topology Optimization Of Kirchhoff Plates
  • We Study Convergence Of Discontinuous Galerkin-Type Discretizations Of The Problems Of Control In Th
  • As A Model Problem We Use That Of The Optimal Design Of Thin (Kirchhoff) Plates
  • Where The Governing Equations Are Of The Fourth Order
  • Methods Which Do Not Require Approximation Subspaces To Conform To The Smoothness Requirements Dicta
  • However
  • Variational Formulations Of Such Methods Normally Contain Boundary Integrals Whose Dependence On The
  • With Respect To “Volumetric” Lebesgue Norm
  • Changes Of The Coefficients Is Generally Speaking Not Continuous
  • We Utilize The Lifting Formulation Of The Discontinuous Galerkin Method To Deal With This Issue
  • Our Main Result Is That Limit Points Of Sequences Of Designs Verifying Discrete Versions Of Stationa
  • We Illustrate The Practical Behaviour Of Our Discretization Strategy On Some Benchmark-Type Examples
Disciplines
  • Mathematics

Abstract

Control in the coefficients with variational crimes - DTU Orbit (19/06/14) Control in the coefficients with variational crimes - DTU Orbit (19/06/14) Evgrafov, Anton and Kun Saptohartyadi Marhadi. "Control in the coefficients with variational crimes: Application to topology optimization of Kirchhoff plates". Computer Methods in Applied Mechanics and Engineering. 2012, 237-240. 27- 38. Available: 10.1016/j.cma.2012.03.003

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