Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with a variable coefficient

DOI10.1080/00207160.2012.679733zbMath1255.65220OpenAlexW2132713634MaRDI QIDQ4903504

Nurul Akmal Mohamed, Sergey E. Mikhailov

Publication date: 22 January 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.679733

zbMATH Keywords

eigenvaluesspectrumiterative methodsnumerical solutionboundary-domain integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Eigenvalue problems for integral equations (45C05) Linear integral equations (45A05)

Related Items (5)

Analysis of segregated boundary-domain integral equations for BVPs with non-smooth coefficients on Lipschitz domains ⋮ Fast boundary-domain integral method with the \(\mathcal{H}^2\)-matrix formulation for large scale numerical investigations ⋮ On the analysis and numerics of united and segregated boundary-domain integral equation systems in 2D ⋮ Analysis of boundary-domain integral equations to the mixed BVP for a compressible Stokes system with variable viscosity ⋮ Analysis of boundary-domain integral equations based on a new parametrix for the mixed diffusion BVP with variable coefficient in an interior Lipschitz domain

Cites Work

• Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. I: Equivalence and invertibility
• Finite-dimensional perturbations of linear operators and some applications to boundary integral equations
• Localized boundary-domain integral formulations for problems with variable coefficients
• Localized direct boundary-domain integro-differential formulations for scalar nonlinear boundary-value problems with variable coefficients
• Mesh-based numerical implementation of the localized boundary-domain integral-equation method to a variable-coefficient Neumann problem
• Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks
• Analysis of united boundary-domain integro-differential and integral equations for a mixed BVP with variable coefficient
• On C. Neumann's method for second-order elliptic systems in domains with non-smooth boundaries
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