TY - JOUR
T1 - Shape optimization and optimal control for transient heat conduction problems using an isogeometric approach
AU - Wang, Z.
AU - Turteltaub, Sergio
AU - Abdalla, Mostafa
PY - 2017/6/1
Y1 - 2017/6/1
N2 - This work is concerned with the development of a framework to solve shape optimization problems for transient heat conduction problems within the context of isogeometric analysis (IGA). A general objective functional is used to accommodate both shape optimization and passive control problems under transient conditions. An adjoint sensitivity analysis, which accounts for possible discontinuities in the objective functional, is performed analytically and subsequently discretized within the context of IGA. The gradient of the objective functional is used in a descent algorithm to solve optimization problems. Numerical examples are presented to validate and demonstrate the capacity to manage thermal fields under transient conditions.
AB - This work is concerned with the development of a framework to solve shape optimization problems for transient heat conduction problems within the context of isogeometric analysis (IGA). A general objective functional is used to accommodate both shape optimization and passive control problems under transient conditions. An adjoint sensitivity analysis, which accounts for possible discontinuities in the objective functional, is performed analytically and subsequently discretized within the context of IGA. The gradient of the objective functional is used in a descent algorithm to solve optimization problems. Numerical examples are presented to validate and demonstrate the capacity to manage thermal fields under transient conditions.
KW - Adjoint method
KW - Isogeometric analysis
KW - Passive optimal control
KW - Shape optimization
KW - Transient heat conduction
UR - http://www.scopus.com/inward/record.url?scp=85015041714&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2017.02.004
DO - 10.1016/j.compstruc.2017.02.004
M3 - Article
AN - SCOPUS:85015041714
SN - 0045-7949
VL - 185
SP - 59
EP - 74
JO - Computers & Structures
JF - Computers & Structures
ER -