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Showing 1 to 7 of 7 for “"Steklov"”.
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Steklov Eigenvalue Problems on Nearly Spherical and Annular Domains
<p>We consider Steklov eigenvalues on nearly spherical and nearly annular domains in d dimensions where d is any given positive integer. By using the Green-Beltrami identity for spherical harmonic functions, the derivatives of Steklov eigenvalues with respect to the domain perturbation parameter …
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Steklov geometry processing : an extrinsic approach to spectral shape analysis
… justification. Instead, we consider the Steklov eigenvalue problem, computing the spectrum of the Dirichlet-to-Neumann operator of a surface bounding a volume. A remarkable property of this operator is that it completely encodes volumetric geometry. We use the boundary element method …
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The 1-dimensional [lambda]-self shrinkers in R² and the nodal sets of biharmonic Steklov problems
… behavior of the nodal set of biharmonic Steklov problems. Chapter 1 gives the background of mean curvature flow and the importance of self-shrinkers as solitons of the flow equation. We also introduce the background of the [lambda]-hypersurface and explain how this is related to the self …
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EXTERIOR REGULARIZED HARMONIC AND HARMONIC FUNCTIONS
… space, via the sequence of exterior harmonic Steklov eigenvalues and associated eigenfunctions. The new space is strictly larger than the standard Sobolev-Hilbert H-space, as it only needs square integrability of the gradients of the functions involved. Our results generalize exactly certain …
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Minmax topology optimization
… optimality conditions which take the form of a Steklov eigenvalue problem and thus we eliminate the need of an iterative nested optimization. To generate a well-posed topology optimization problem we use relaxation which requires homogenization theory. Examples are provided to demonstrate our …
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Qualitative methods far acoustic scattering inverse problems in wavequides
… una expansión asintótica de los operadores de Steklov-Poincaré involucrados. Por otra parte, si el obstáculo es penetrable, aplicamos un método de análisis asintótico, es decir, hacemos un desarrollo asintótico en dominios con agujeros cuyo tamaño tiende a cero.
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Novel Computational Strategies for the Inverse Source Problem in Electromagnetics
L'abstract è presente nell'allegato / the abstract is in the attachment