Using Composite Finite Elements for Shape Optimization with a Stochastic Objective Functional

2019 ◽  
pp. 515-520
Author(s):  
Matthias Bolten ◽  
Camilla Hahn
Keyword(s):  
Finite Elements ◽  
Shape Optimization ◽  
Composite Finite Elements ◽  
Objective Functional

scholarly journals On the Second-Order Shape Derivative of the Kohn-Vogelius Objective Functional Using the Velocity Method

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Jerico B. Bacani ◽  
Julius Fergy T. Rabago
Keyword(s):  
Free Boundary ◽  
Shape Optimization ◽  
Optimization Technique ◽  
Velocity Fields ◽  
Second Order ◽  
Shape Derivative ◽  
State Variables ◽  
Derivatives Of ◽  
Objective Functional ◽  
Perturbation Of Identity

The exterior Bernoulli free boundary problem was studied via shape optimization technique. The problem was reformulated into the minimization of the so-called Kohn-Vogelius objective functional, where two state variables involved satisfy two boundary value problems, separately. The paper focused on solving the second-order shape derivative of the objective functional using the velocity method with nonautonomous velocity fields. This work confirms the classical results of Delfour and Zolésio in relating shape derivatives of functionals using velocity method and perturbation of identity technique.

Statistical osteoporosis models using composite finite elements: A parameter study

2009 ◽  
Vol 42 (13) ◽  
pp. 2205-2209 ◽  
Author(s):  
Uwe Wolfram ◽  
Lars Ole Schwen ◽  
Ulrich Simon ◽  
Martin Rumpf ◽  
Hans-Joachim Wilke
Keyword(s):  
Finite Elements ◽  
Parameter Study ◽  
Composite Finite Elements

Triangular composite finite elements

2000 ◽  
Vol 47 (1-3) ◽  
pp. 287-316 ◽  
Author(s):  
Yong Guo ◽  
Michael Ortiz ◽  
Ted Belytschko ◽  
Eduardo A. Repetto
Keyword(s):  
Finite Elements ◽  
Composite Finite Elements

Tetrahedral composite finite elements

2001 ◽  
Vol 53 (6) ◽  
pp. 1337-1351 ◽  
Author(s):  
P. Thoutireddy ◽  
J. F. Molinari ◽  
E. A. Repetto ◽  
M. Ortiz
Keyword(s):  
Finite Elements ◽  
Composite Finite Elements

Polytopal composite finite elements

2019 ◽  
Vol 355 ◽  
pp. 405-437 ◽  
Author(s):  
H. Nguyen-Xuan ◽  
Khanh N. Chau ◽  
Khai N. Chau
Keyword(s):  
Finite Elements ◽  
Composite Finite Elements
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