APPLICATION OF COLLOCATION BEM FOR AXISYMMETRIC TRANSMISSION PROBLEMS IN ELECTRO- AND MAGNETOSTATICS

DOI10.3846/13926292.2016.1128488zbMath1488.65700OpenAlexW2292652886MaRDI QIDQ5011604

Olga Lavrova, Viktor Polevikov

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2016.1128488

zbMATH Keywords

boundary element methodLaplace equationtransmission problemweakly singular integral equationpolygonal boundaryaxisymmetric collocation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Electro- and magnetostatics (78A30)

Uses Software

• Maple
• BEAN

Cites Work

• The convergence of spline collocation for strongly elliptic equations on curves
• An optimal order collocation method for first kind boundary integral equations on polygons
• Integral equations. Theory and numerical treatment
• Fast Boundary Element Methods for Industrial Applications in Magnetostatics
• Symmetric Galerkin Boundary Element Method
• On the Convergence of Collocation Methods for Boundary Integral Equations on Polygons
• Pointwise convergence of some boundary element methods. Part II
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