Trigonometric Collocation Methods with Product Integration for Boundary Integral Equations on Closed Curves

DOI10.1137/S0036142994266273zbMath0855.65119OpenAlexW1987071199MaRDI QIDQ4891726

Jukka Saranen, Gennadi Vainikko

Publication date: 11 February 1997

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

Full work available at URL: https://doi.org/10.1137/s0036142994266273

zbMATH Keywords

stabilityconvergenceconsistencynumerical experimentsproduct integrationelliptic equationsboundary integral equationsbiharmonic problemtrigonometric collocation methods

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) Boundary value problems for higher-order elliptic equations (35J40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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