Locally-corrected spectral methods and overdetermined elliptic systems

DOI10.1016/j.jcp.2006.11.017zbMath1120.65340OpenAlexW2016418404MaRDI QIDQ886101

John Strain

Publication date: 14 June 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.11.017

zbMATH Keywords

convergencenumerical examplesboundary integral methodFourier serieselliptic systemsspectral methodsEwald summationmoving interface problemssingle layer potentialslocal correction

Mathematics Subject Classification ID

Related Items (6)

A geometric nonuniform fast Fourier transform ⋮ Spectrally accurate fast summation for periodic Stokes potentials ⋮ Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces ⋮ Higher order numerical discretizations for exterior and biharmonic type PDEs ⋮ Piecewise-polynomial discretization and Krylov-accelerated multigrid for elliptic interface problems ⋮ Fast Fourier transforms of piecewise polynomials

Uses Software

• Expokit

Cites Work

• First-order system least squares (FOSLS) for coupled fluid-elastic problems
• A geometric nonuniform fast Fourier transform
• A method for the numerical solution of a class of boundary value problems governed by second order elliptic systems
• Improved spectral multigrid methods for periodic elliptic problems
• On the definition of ellipticity for systems of partial differential equations
• Fast potential theory. II: Layer potentials and discrete sums
• Properties of overdetermined first order elliptic systems
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• A fast 3D Poisson solver of arbitrary order accuracy
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• Generalized inverses. Theory and applications.
• Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces
• Overdetermined elliptic systems
• A Method for Computing Nearly Singular Integrals
• On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
• Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
• A smooth particle-mesh Ewald algorithm for Stokes suspension simulations: The sedimentation of fibers
• Energy Partition in the Reflection and Refraction of Plane Waves
• Expokit
• Fast Spectrally-Accurate Solution of Variable-Coefficient Elliptic Problems
• Crack Singularities for General Elliptic Systems
• Locally Corrected Multidimensional Quadrature Rules for Singular Functions
• A Practical Guide to Pseudospectral Methods
• A fast semi-Lagrangian contouring method for moving interfaces
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
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