Analytic continuation of Dirichlet-Neumann operators
From MaRDI portal
Publication:1402153
DOI10.1007/s002110200399zbMath1030.65109OpenAlexW2058038018MaRDI QIDQ1402153
Fernando Reitich, David P. Nicholls
Publication date: 19 August 2003
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002110200399
numerical resultsperturbationsanalytic continuationDirichlet-Neumann operatorsfield expansionoperator expansiontransform field expansion
Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items
A high-order spectral algorithm for the numerical simulation of layered media with uniaxial hyperbolic materials ⋮ A high-order perturbation of surfaces (HOPS) approach to Fokas integral equations: vector electromagnetic scattering by periodic crossed gratings ⋮ Spectral data for travelling water waves: singularities and stability ⋮ A high-order spectral method for nonlinear water waves in the presence of a linear shear current ⋮ Error analysis of an enhanced DtN-FE method for exterior scattering problems ⋮ Stable, high-order computation of impedance–impedance operators for three-dimensional layered medium simulations ⋮ An operator expansions method for computing Dirichlet-Neumann operators in linear elastodynamics ⋮ Fokas integral equations for three dimensional layered-media scattering ⋮ A spectral element method with transparent boundary condition for periodic layered media scattering ⋮ Stable computation of the functional variation of the Dirichlet-Neumann operator ⋮ Well-posedness and analyticity of solutions to a water wave problem with viscosity ⋮ A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering ⋮ Three-dimensional acoustic scattering by layered media: a novel surface formulation with operator expansions implementation ⋮ Reconstructing small perturbations of an obstacle for acoustic waves from boundary measurements on the perturbed shape itself ⋮ Joint Geometry/Frequency Analyticity of Fields Scattered by Periodic Layered Media ⋮ A stable high-order perturbation of surfaces method for numerical simulation of diffraction problems in triply layered media ⋮ High-order perturbation of surfaces algorithms for the simulation of localized surface plasmon resonances in graphene nanotubes ⋮ Numerical Solution of Diffraction Problems: A High-Order Perturbation of Surfaces and Asymptotic Waveform Evaluation Method ⋮ Analyticity of Steklov eigenvalues of nearly hyperspherical domains in \(\mathbb{R}^{d+1}\) ⋮ Asymptotic expansion for solution of Maxwell equation in domain with highly oscillating boundary ⋮ An efficient and stable spectral method for electromagnetic scattering from a layered periodic structure ⋮ Numerical Simulation of Grating Structures Incorporating Two-Dimensional Materials: A High-Order Perturbation of Surfaces Framework ⋮ On the construction of traveling water waves with constant vorticity and infinite boundary ⋮ Reconstructing small perturbations of scatterers from electric or acoustic far‐field measurements ⋮ Highly accurate pseudospectral approximations of the prolate spheroidal wave equation for any bandwidth parameter and zonal wavenumber ⋮ On stability of generalized short-crested water waves ⋮ Exact non-reflecting boundary conditions on general domains. ⋮ Efficient enforcement of far-field boundary conditions in the transformed field expansions method ⋮ Operator expansions and constrained quadratic optimization for interface reconstruction: impenetrable periodic acoustic media ⋮ A method of variation of boundaries for waveguide grating couplers ⋮ A high-order perturbation of envelopes (HOPE) method for scattering by periodic inhomogeneous media ⋮ Wave scattering from a rough surface: solution by an iterative method ⋮ On the accuracy and applicability of a new implicit Taylor method and the high-order spectral method on steady nonlinear waves ⋮ High-Order Spectral Simulation of Graphene Ribbons ⋮ On weakly nonlinear gravity-capillary solitary waves ⋮ A high-order perturbation of surfaces method for vector electromagnetic scattering by doubly layered periodic crossed gratings ⋮ On analyticity of travelling water waves ⋮ Numerical simulation of solitary waves on plane slopes ⋮ Boundary Perturbation Methods for Water Waves ⋮ On analyticity of linear waves scattered by a layered medium ⋮ A Fourier-Boussinesq method for nonlinear water waves ⋮ Stable, high-order computation of traveling water waves in three dimensions ⋮ High-order perturbation of surfaces algorithms for the simulation of localized surface plasmon resonances in two dimensions ⋮ A high–order perturbation of surfaces (HOPS) approach to Fokas integral equations: Three–dimensional layered–media scattering ⋮ Model equations for three-dimensional nonlinear water waves under tangential electric field ⋮ A rapid boundary perturbation algorithm for scattering by families of rough surfaces ⋮ A nonlinear least squares framework for periodic grating identification with a high-order perturbation of surfaces implementation ⋮ Simulation of Localized Surface Plasmon Resonances in Two Dimensions via Impedance-Impedance Operators ⋮ Traveling gravity water waves in two and three dimensions.