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Smoothed corners and scattered waves (Q2818257)

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scientific article; zbMATH DE number 6624670

Language	Label	Description	Also known as
English	Smoothed corners and scattered waves	scientific article; zbMATH DE number 6624670

Statements

scholarly article

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Charles L. Epstein

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SIAM Journal on Scientific Computing

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publication date

7 September 2016

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full work available at URL

https://arxiv.org/abs/1506.08449

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zbMATH Keywords

corners

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Lipschitz domain

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Helmholtz equation

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smoothing

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surface

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curve

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numerical example

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acoustic scattering

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describes a project that uses

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MaRDI profile type

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Hybrid Gauss-Trapezoidal Quadrature Rules

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Approximate solutions of integral and operator equations

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Norm-Preserving Discretization of Integral Equations for Elliptic PDEs with Internal Layers I: The One-Dimensional Case

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The Numerical Solution of Integral Equations of the Second Kind

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A fast direct solver for the integral equations of scattering theory on planar curves with corners

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On the Nyström discretization of integral equations on planar curves with corners

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A high-order accurate accelerated direct solver for acoustic scattering from surfaces

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A Nyström method for weakly singular integral operators on surfaces

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On the numerical evaluation of the singular integrals of scattering theory

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A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures

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Efficient discretization of Laplace boundary integral equations on polygonal domains

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Universal quadratures for boundary integral equations on two-dimensional domains with corners

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A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains

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On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.

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On the Compression of Low Rank Matrices

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Boundary Integral Operators on Lipschitz Domains: Elementary Results

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Singularities of electromagnetic fields in polyhedral domains

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Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions

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On the stability of time-domain integral equations for acoustic wave propagation

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Potential techniques for boundary value problems on \(C^1\)-domains

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A direct solver with \(O(N)\) complexity for integral equations on one-dimensional domains

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High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane

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The effective conductivity of random checkerboards

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A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curves

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Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems

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An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces

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Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioning

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A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization

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The Neumann problem on Lipschitz domains

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Second kind integral equations for the classical potential theory on open surfaces I: Analytical apparatus.

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Second kind integral equations for the classical potential theory on open surfaces. II.

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Diffraction and reflection of pulses by wedges and corners

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Quadrature by expansion: a new method for the evaluation of layer potentials

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Numerical quadratures for singular and hypersingular integrals

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A Nyström method for boundary integral equations in domains with corners

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A generalized Calderón formula for open-arc diffraction problems: theoretical considerations

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Fast algorithms for quadrature by expansion. I: Globally valid expansions

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GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

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On the solution of elliptic partial differential equations on regions with corners

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Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains

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Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators

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Smoothed corners and scattered waves (English)

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Identifiers

zbMATH Open document ID

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10.1137/15M1028248

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2818257

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