Spline Galerkin Methods for the Sherman--Lauricella Equation on Contours with Corners

DOI10.1137/140997968zbMath1330.65197arXiv1501.00280OpenAlexW2105020887MaRDI QIDQ3462233

A. M. Vu, Tao Tang, Viktor D. Didenko

Publication date: 5 January 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00280

zbMATH Keywords

stabilityconvergencecomparison of methodsnumerical experimentcritical anglesNyström methodSherman-Lauricella integral equationspline Galerkin method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Cites Work

• A practical guide to splines
• On stability of approximation methods for the Muskhelishvili equation
• Exact solutions for the viscous sintering of multiply-connected fluid domains
• Integral equation methods for Stokes flow and isotropic elasticity in the plane
• On the Stability of the Nyström Method for the Muskhelishvili Equation on Contours with Corners
• A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curves
• Stability of the Nyström Method for the Sherman–Lauricella Equation
• Approximation methods for the Muskhelishvili equation on smooth curves
• Viscous Flow
• A Fast Fourier--Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation
• Features of the Nyström Method for the Sherman-Lauricella Equation on Piecewise Smooth Contours
• Ideals of Vector-Valued Functions
• An efficient numerical method for studying interfacial motion in two-dimensional creeping flows
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