Finite element method for an eigenvalue optimization problem of the Schrödinger operator
Keyword(s):
<abstract><p>In this paper, we study the optimization algorithm to compute the smallest eigenvalue of the Schrödinger operator with volume constraint. A finite element discretization of this problem is established. We provide the error estimate for the numerical solution. The optimal solution can be approximated by a fixed point iteration scheme. Then a monotonic decreasing algorithm is presented to solve the eigenvalue optimization problem. Numerical simulations demonstrate the efficiency of the method.</p></abstract>
2008 ◽
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pp. 133-159
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2019 ◽
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pp. 1676-1693
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2015 ◽
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pp. 094115
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