Numerical calculation of extremal Steklov eigenvalues in 3D and 4D

نویسندگان

چکیده

We develop a numerical method for solving shape optimization of functionals involving Steklov eigenvalues and apply it to the problem maximization k-th eigenvalue, under volume constraint. A similar study in planar case was already addressed literature using boundary integral equation method. Here we extend that 3D 4D cases, Method Fundamental Solutions as forward solver.

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ژورنال

عنوان ژورنال: Computers & mathematics with applications

سال: 2021

ISSN: ['0898-1221', '1873-7668']

DOI: https://doi.org/10.1016/j.camwa.2021.11.008