Corner singularities for elliptic problems: special basis functions versus ?brute force?

DOI<37::AID-CNM307>3.0.CO;2-1 10.1002/(SICI)1099-0887(200001)16:1<37::AID-CNM307>3.0.CO;2-1zbMath0947.65126OpenAlexW2130997637MaRDI QIDQ4949928

Johan Helsing

Publication date: 7 May 2000

Full work available at URL: https://doi.org/10.1002/(sici)1099-0887(200001)16:1<37::aid-cnm307>3.0.co;2-1

zbMATH Keywords

numerical examplesingularityintegral equation methodelliptic boundary value problemselectrostatic equationNyström discretizationdomains with cornersintegral equation of Fredholm type

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38) Electro- and magnetostatics (78A30)

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Cites Work

• Finite element analysis of wave scattering from singularities
• A high-order accurate algorithm for electrostatics of overlapping disks
• Thin bridges in isotropic electrostatics
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Effective conductivity of periodic composites composed of two very unequal conductors
• A finite element method for domains with corners
• The DtN finite element method for elastic domains with cracks and re-entrant corners
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