TY - JOUR
T1 - Optimal design of nonlinear parabolic systems. Part I
T2 - Fixed spatial domain with applications to process optimization
AU - Tortorelli, Daniel A.
AU - Tiller, Michael M.
AU - Dantzig, Jonathan A.
N1 - Funding Information:
The authors wish to express their appreciation for the financial support provided by NASA Lewis Research Center under Grant NAG 3-1286 and for the software development tools provided by the Free Software Foundation. One of the authors (JAD) also wishes to thank the National Center for Supercomputing Applications for their support during a sabbatical year during which this work was initiated.
PY - 1994/3
Y1 - 1994/3
N2 - A general framework is presented for the optimal design of nonlinear parabolic systems which govern a variety of processes including solidification. In this paper, the spatial domain is fixed during the optimization. In Part II the domain is allowed to vary. The general method is then specialized to treat nonlinear transient conduction systems, and exemplified for the optimal manufacture of crystals.
AB - A general framework is presented for the optimal design of nonlinear parabolic systems which govern a variety of processes including solidification. In this paper, the spatial domain is fixed during the optimization. In Part II the domain is allowed to vary. The general method is then specialized to treat nonlinear transient conduction systems, and exemplified for the optimal manufacture of crystals.
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U2 - 10.1016/0045-7825(94)90215-1
DO - 10.1016/0045-7825(94)90215-1
M3 - Article
AN - SCOPUS:0028384557
SN - 0045-7825
VL - 113
SP - 141
EP - 155
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 1-2
ER -