A robust solver for elliptic PDEs in 3D complex geometries (Q2131015)

scientific article; zbMATH DE number 7513809

Language	Label	Description	Also known as
English	A robust solver for elliptic PDEs in 3D complex geometries	scientific article; zbMATH DE number 7513809

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instance of

scholarly article

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title

A robust solver for elliptic PDEs in 3D complex geometries (English)

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Journal of Computational Physics

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publication date

25 April 2022

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full work available at URL

https://arxiv.org/abs/2002.04143

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describes a project that uses

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Extreme Scale FMM-Accelerated Boundary Integral Equation Solver for Wave Scattering

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Error estimation for quadrature by expansion in layer potential evaluation

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Adaptive Quadrature by Expansion for Layer Potential Evaluation in Two Dimensions

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Hybrid Gauss-Trapezoidal Quadrature Rules

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Evaluation of layer potentials close to the boundary for Laplace and Helmholtz problems on analytic planar domains

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Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains

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Adaptive BEM with optimal convergence rates for the Helmholtz equation

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A Grid-Based Boundary Integral Method for Elliptic Problems in Three Dimensions

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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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Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra

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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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A high-order integral solver for scalar problems of diffraction by screens and apertures in three-dimensional space

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A Simple Method for Computing Singular or Nearly Singular Integrals on Closed Surfaces

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Theory and implementation of \(\mathcal{H}\)-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels

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Fast iterative boundary element methods for high-frequency scattering problems in 3D elastodynamics

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Asymptotic analysis for close evaluation of layer potentials

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Stable extrapolation of analytic functions

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On the convergence of local expansions of layer potentials

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Clenshaw–Curtis and Gauss–Legendre Quadrature for Certain Boundary Element Integrals

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A complete error analysis for the evaluation of a two-dimensional nearly singular boundary element integral

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Q4041056

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A high-order algorithm for obstacle scattering in three dimensions

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A fast algorithm for particle simulations

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Solving Laplace Problems with Corner Singularities via Rational Functions

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

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On the evaluation of layer potentials close to their sources

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On the Numerical Solution of Elliptic Partial Differential Equations on Polygonal Domains

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Boundary integral equations

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Robust inside-outside segmentation using generalized winding numbers

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Singularity extraction technique for integral equation methods with higher order basis functions on plane triangles and tetrahedra

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Singularity Subtraction Technique for High-Order Polynomial Vector Basis Functions on Planar Triangles

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Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping

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

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Close evaluation of layer potentials in three dimensions

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High-Order Corrected Trapezoidal Quadrature Rules for Singular Functions

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Linear integral equations.

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Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objects

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PVFMM: A Parallel Kernel Independent FMM for Particle and Volume Potentials

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Taylor states in stellarators: a fast high-order boundary integral solver

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Acoustic and electromagnetic equations. Integral representations for harmonic problems

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Boundary Integral and Singularity Methods for Linearized Viscous Flow

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Q3962538

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Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples

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High-volume fraction simulations of two-dimensional vesicle suspensions

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Ubiquitous evaluation of layer potentials using quadrature by kernel-independent expansion

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

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On the Solution of the Stokes Equation on Regions with Corners

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Foundations of multidimensional and metric data structures.

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Solving Boundary Integral Problems with BEM++

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On the solution of elliptic partial differential equations on regions with corners. II: Detailed analysis

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

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On the solution of the Helmholtz equation on regions with corners

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A local target specific quadrature by expansion method for evaluation of layer potentials in 3D

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Regularized single and double layer integrals in 3D Stokes flow

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Is Gauss Quadrature Better than Clenshaw–Curtis?

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Isogeometric analysis of boundary integral equations: High-order collocation methods for the singular and hyper-singular equations

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Two results on polynomial interpolation in equally spaced points

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A fast algorithm with error bounds for quadrature by expansion

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A fast algorithm for quadrature by expansion in three dimensions

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Optimization of fast algorithms for global quadrature by expansion using target-specific expansions

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Stability of Barycentric Interpolation Formulas for Extrapolation

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Solution of Stokes flow in complex nonsmooth 2D geometries via a linear-scaling high-order adaptive integral equation scheme

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A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions

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A kernel-independent adaptive fast multipole algorithm in two and three dimensions

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

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The isogeometric Nyström method

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCP.2021.110511

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Sitelinks

Mathematics(1 entry)

mardi Publication:2131015