Numerical Minimization of Dirichlet Laplacian Eigenvalues of Four-Dimensional Geometries | Zendy

Pedro R. S. Antunes | Zendy; Èdouard Oudet | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Numerical Minimization of Dirichlet Laplacian Eigenvalues of Four-Dimensional Geometries

Author(s) -

Pedro R. S. Antunes,

Èdouard Oudet

Publication year - 2017

Publication title -

siam journal on scientific computing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.674

H-Index - 147

eISSN - 1095-7197

pISSN - 1064-8275

DOI - 10.1137/16m1083773

Subject(s) - eigenvalues and eigenvectors , mathematics , laplace operator , dirichlet distribution , context (archaeology) , extension (predicate logic) , numerical analysis , laplacian matrix , homogeneous space , minification , dirichlet problem , mathematical analysis , computer science , mathematical optimization , geometry , physics , geology , boundary value problem , paleontology , quantum mechanics , programming language

We develop the first numerical study in four dimensions of optimal eigenmodes associated with the Dirichlet Laplacian. We describe an extension of the method of fundamental solutions adapted to the four-dimensional context. Based on our numerical simulation and a postprocessing adapted to the identification of relevant symmetries, we provide and discuss the numerical description of the eighth first optimal domains.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research