Multilevel augmentation methods for nonlinear boundary integral equations II: Accelerated quadratures and Newton iterations

DOI10.1216/JIE-2012-24-4-545zbMath1271.65145OpenAlexW2061486861MaRDI QIDQ1942919

Yuesheng Xu, Bin Wu, Zhongying Chen, Xiangling Chen

Publication date: 14 March 2013

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1362669521

zbMATH Keywords

numerical experimentssingular integralscomputational efficiencynonlinear boundary integral equationsintegration schemesoptimal convergence ordermultilevel augmentation methodmodified Newton iterations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Complexity and performance of numerical algorithms (65Y20) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

Multilevel anti-derivative wavelets with augmentation for nonlinear boundary value problems ⋮ Fast Fourier-Galerkin methods for nonlinear boundary integral equations

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