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The isogeometric Nyström method (Q2308592)

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Language	Label	Description	Also known as
English	The isogeometric Nyström method	scientific article

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scholarly article

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The isogeometric Nyström method (English)

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Jürgen Zechner

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Benjamin Marussig

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Thomas-Peter Fries

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Computer Methods in Applied Mechanics and Engineering

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publication date

3 April 2020

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full work available at URL

https://arxiv.org/abs/1506.03914

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zbMATH Keywords

isogeometric analysis

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boundary integral equation

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local refinement

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collocation

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MaRDI profile type

MaRDI publication profile

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Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

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Comparison of fast boundary element methods on parametric surfaces

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Nonsingular isogeometric boundary element method for Stokes flows in 3D

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Isogeometric boundary element analysis using unstructured T-splines

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Fast isogeometric boundary element method based on independent field approximation

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Acoustic isogeometric boundary element analysis

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Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations

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ISOGEOMETRIC COLLOCATION METHODS

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Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations

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The Numerical Solution of Integral Equations of the Second Kind

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Locally corrected Nyström method for EM scattering by bodies of revolution

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Numerical solution of the Helmholtz equation in 2D and 3D using a high-order Nyström discretization

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A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications

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On Stable, Complete, and Singularity-Free Boundary Integral Formulations of Exterior Stokes Flow

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A Nyström scheme with rational quadrature applied to edge crack problems

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Nyström method for elastic wave scattering by three-dimensional obstacles

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Nyström discretization of parabolic boundary integral equations

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Singularity subtraction in the numerical solution of integral equations

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Analysis of general quadrature methods for integral equations of the second kind

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

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Linear integral equations.

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Locally Corrected Multidimensional Quadrature Rules for Singular Functions

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Convergence and conditioning of a Nyström method for Stokes flow in exterior three-dimensional domains

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A convergence theorem for a class of Nyström methods for weakly singular integral equations on surfaces in $\mathbb {R}^3$

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A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains

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A Nyström method for boundary integral equations in domains with corners

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

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

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Efficient discretization of Laplace boundary integral equations on polygonal domains

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A simplified technique for the efficient and highly accurate discretization of boundary integral equations in 2D on domains with corners

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Nyström’s Method and Iterative Solvers for the Solution of the Double-Layer Potential Equation over Polyhedral Boundaries

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A Nyström method for weakly singular integral operators on surfaces

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Integral equation methods for elliptic problems with boundary conditions of mixed type

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Boundary Element Methods

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Numerical Approximation Methods for Elliptic Boundary Value Problems

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A new formula for the \(C\)-matrix in the Somigliana identity

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A fast elasto-plastic formulation with hierarchical matrices and the boundary element method

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A practical guide to splines.

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A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures

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Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics

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Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex

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A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method

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Fully automatic \(hp\)-adaptivity in three dimensions

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Rapid solution of integral equations of classical potential theory

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A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices

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Identifiers

zbMATH Open document ID

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10.1016/j.cma.2016.03.043

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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:2308592

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