Numerical optimisation of Dirac eigenvalues

Cites Work

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On the choice of source points in the method of fundamental solutions
Self-adjointness of two-dimensional Dirac operators on domains
Optimization of spectral functions of Dirichlet-Laplacian eigenvalues
Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains
Über Minimaleigenschaften der Kugel in drei und mehr Dimensionen.
Über eine von Rayleigh formulierte Minimaleigenschaft des Kreises.
Beweis, daß unter allen homogenen Membranen von gleicher Fläche und gleicher Spannung die kreisförmige den tiefsten Grundton gibt.
Beweis des Satzes, daß\ von allen homogenen Membranen gegebenen Umfanges und gegebener Spannung die kreisförmige den tiefsten Grundton besitzt.
Spectral gaps of Dirac operators describing graphene quantum dots
Self-adjointness of Dirac operators with infinite mass boundary conditions in sectors
A variational formulation for Dirac operators in bounded domains. Applications to spectral geometric inequalities
Spectral properties of relativistic quantum waveguides
Optimization of sums and quotients of Dirichlet-Laplacian eigenvalues
On the MIT bag model in the non-relativistic limit
A sharp upper bound on the spectral gap for graphene quantum dots
Resolvent convergence to Dirac operators on planar domains
The MIT bag model as an infinite mass limit
Eigenvalue curves for generalized MIT bag models
The method of fundamental solutions applied to some inverse eigenproblems
On the inverse spectral problem for Euclidean triangles
Fundamental Solutions Method for Elliptic Boundary Value Problems
Proof of the Payne-Pólya-Weinberger conjecture
Range of the First Three Eigenvalues of the Planar Dirichlet Laplacian
Spectral optimization of Dirac rectangles
The Robin Laplacian—Spectral conjectures, rectangular theorems
The Isoperimetric Problem
Reviving the Method of Particular Solutions
A Simplex Method for Function Minimization
Isoperimetric Inequalities in Mathematical Physics. (AM-27)
On the polygonal Faber-Krahn inequality
Reverse isoperimetric inequality for the lowest Robin eigenvalue of a triangle
Local spectral optimisation for Robin problems with negative boundary parameter on quadrilaterals
On the first eigenvalue of the Laplacian for polygons

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