☆ 4.6 Article

STEKLOV EIGENVALUES OF NEARLY SPHERICAL DOMAINS

SIAM JOURNAL ON CONTROL AND OPTIMIZATION (2022)

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Article Mathematics, Applied

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

Pedro R. S. Antunes

Summary: This study develops a numerical method for solving shape optimization problems related to Steklov eigenvalues, specifically focusing on maximizing the k-th Steklov eigenvalue under a volume constraint. The research extends a similar study in the planar case to 3D and 4D cases, utilizing the Method of Fundamental Solutions as the forward solver.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2021)

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