A refined Newton’s mesh independence principle for a class of optimal shape design problems |
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Authors: | Ioannis K Argyros |
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Institution: | (1) Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA |
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Abstract: | Shape optimization is described by finding the geometry of a structure which is optimal in the sense of a minimized cost function
with respect to certain constraints. A Newton’s mesh independence principle was very efficiently used to solve a certain class
of optimal design problems in 6]. Here motivated by optimization considerations we show that under the same computational
cost an even finer mesh independence principle can be given. |
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Keywords: | Mesh independence principle Newton’ s method radius of convergence optimal space design |
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