A computational approach to an optimal partition problem on surfaces

DOI10.4171/IFB/346zbMath1329.49085arXiv1408.2355WikidataQ61834734 ScholiaQ61834734MaRDI QIDQ899696

Thomas Ranner, Charles M. Elliot

Publication date: 30 December 2015

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2355

zbMATH Keywords

Schrödinger equationcomputational methodssurfacesinfinite well potentialHardy potentialsoptimal partition problemDirichlet Laplace-Beltrami operatoreigenvaules

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Optimization of shapes other than minimal surfaces (49Q10) Discrete approximations in optimal control (49M25) Variational methods for eigenvalues of operators (49R05) PDEs on manifolds (35R01)

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