A level-set method for computing the eigenvalues of elliptic operators defined on compact hypersurfaces

DOI10.1007/s10915-008-9210-zzbMath1203.65235OpenAlexW2074912298WikidataQ125933485 ScholiaQ125933485MaRDI QIDQ618420

Jeremy Brandman

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-008-9210-z

zbMATH Keywords

finite element methodeigenvalueselliptic operatorlevel-set methodsemi-classical analysis of the Schrödinger equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (6)

A new intrinsic numerical method for PDE on surfaces ⋮ Computing Harmonic Maps and Conformal Maps on Point Clouds ⋮ Solving Partial Differential Equations on Manifolds From Incomplete Interpoint Distance ⋮ Solving eigenvalue problems on curved surfaces using the closest point method ⋮ An Eulerian approach for computing the finite time Lyapunov exponent ⋮ Variational piecewise constant level set methods for shape optimization of a two-density drum

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