A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation

DOI10.4208/aamm.2015.m1287zbMath1488.65701OpenAlexW2570625950MaRDI QIDQ5155237

Jin Huang, Hu Li

Publication date: 6 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.2015.m1287

zbMATH Keywords

Poisson's equationa posteriori estimatemechanical quadrature methodsplitting extrapolation algorithm

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical integration (65D30) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

The method of particular solutions with polynomial basis functions for solving axisymmetric problems ⋮ High-accuracy quadrature methods for solving nonlinear boundary integral equations of axisymmetric Laplace's equation ⋮ Localized meshless methods based on polynomial basis functions for solving axisymmetric equations ⋮ The MAPS with polynomial basis functions for solving axisymmetric time-fractional equations ⋮ New solution to the pressure transient equation in a two-layer reservoir with crossflow

Cites Work

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• The Collocation Method for First-Kind Boundary Integral Equations on Polygonal Regions
• The Splitting Extrapolation Method
• On Direct Methods for Solving Poisson’s Equations

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