Poincaré–Steklov operator

Known as: Dirichlet to Neumann mapping, Poincare Steklov operator, Poincaré-Steklov operator 
In mathematics, a Poincaré–Steklov operator (after Henri Poincaré and Vladimir Steklov) maps the values of one boundary condition of the solution of… (More)
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Related topics

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2 relations

Broader (1)

Domain decomposition methods
Schur complement method

Papers overview

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2018
2018
A Reduced Order representation of the Poincaré-Steklov operator : an application to coupled multi-physics problems
This work investigates a model reduction method applied to coupled multi-physics systems. The case in which a system of interest… (More)
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2016
2016
A direct solver for elliptic PDEs in three dimensions based on hierarchical merging of Poincaré-Steklov operators
A numerical method for variable coefficient elliptic PDEs on three dimensional domains is described. The method is designed for… (More)
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2015
2015
A Calderón multiplicative preconditioner for the electromagnetic Poincaré-Steklov operator of a heterogeneous domain with scattering applications
In the context of hybrid formulations, the Poincaré-Steklov operator acting on traces of solutions to the vector Helmholtz… (More)
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2013
2013
Rigorous Analysis of Internal Resonances in 3-D Hybrid FE-BIE Formulations by Means of the Poincaré–Steklov Operator
3-D hybrid finite-element (FE) boundary integral equation (BIE) formulations are widely used because of their ability to simulate… (More)
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2011
2011
The Poincaré–Steklov Operator in Hybrid Finite Element-Boundary Integral Equation Formulations
The Poincaré-Steklov operator provides a direct relation between the tangential electric and magnetic field at the boundary of a… (More)
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2008
2008
ON THE COMPLEX SYMMETRY OF THE POINCARÉ-STEKLOV OPERATOR
Employing Lorentz reciprocity and the Stratton-Chu formalism it is shown that the Poincaré-Steklov or admittance operator can be… (More)
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2007
2007
Analysis of a Spectral-Galerkin Approximation to the Helmholtz Equation in Exterior Domains
An error analysis is presented for the spectral-Galerkin method to the Helmholtz equation in 2-D and 3-D exterior domains. The… (More)
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2002
2002
Lyapunov Spectral Intervals: Theory and Computation
Different definitions of spectra have been proposed over the years to characterize the asymptotic behavior of nonautonomous… (More)
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1997
1997
Preconditioning the Poincaré-Steklov operator by using Green's function
This paper is concerned with the Poincaré-Steklov operator that is widely used in domain decomposition methods. It is proved that… (More)
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Highly Cited
1995
Highly Cited
1995
Branes within Branes
We discuss a set of universal couplings between superstring Ramond-Ramond gauge fields and the gauge fields internal to D-branes… (More)
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