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Keywords:
stable eigenfunction computation; clustered eigenvalues; finite element method; shape derivative; difference quotient of eigenvalues
stable eigenfunction computation; clustered eigenvalues; finite element method; shape derivative; difference quotient of eigenvalues
Summary:
The accurate computation of eigenfunctions corresponding to tightly clustered Laplacian eigenvalues remains an extremely difficult problem. Using the shape difference quotient of eigenvalues, we propose a stable computation method for the eigenfunctions of clustered eigenvalues caused by domain perturbation.
References:
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