Analysis of Boundary-Domain Integral Equations for Variable-Coefficient Neumann BVP in 2D

DOI10.1007/978-3-319-59384-5_3zbMath1408.45008OpenAlexW2338202762MaRDI QIDQ4562837

Tsegaye G. Ayele, Tamirat T. Dufera, Sergey E. Mikhailov

Publication date: 18 December 2018

Published in: Integral Methods in Science and Engineering, Volume 1 (Search for Journal in Brave)

Full work available at URL: http://bura.brunel.ac.uk/handle/2438/15957

zbMATH Keywords

boundary-domain integral equationsecond-order Neumann boundary value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral operators (45P05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

Two‐operator boundary‐domain integral equation systems for variable‐coefficient mixed Boundary Value Problem in 2D ⋮ On United Boundary-Domain Integro-Differential Equations for Variable Coefficient Dirichlet Problem with General Right-Hand Side ⋮ On the existence of solution of the boundary-domain integral equation system derived from the 2D Dirichlet problem for the diffusion equation with variable coefficient using a novel parametrix

Cites Work

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• Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. I: Equivalence and invertibility
• Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains
• Finite-dimensional perturbations of linear operators and some applications to boundary integral equations
• Localized boundary-domain integral formulations for problems with variable coefficients
• Analysis of Boundary–Domain Integral Equations for Variable-Coefficient Dirichlet BVP in 2D
• ANALYSIS OF DIRECT SEGREGATED BOUNDARY-DOMAIN INTEGRAL EQUATIONS FOR VARIABLE-COEFFICIENT MIXED BVPs IN EXTERIOR DOMAINS
• Numerical Approximation Methods for Elliptic Boundary Value Problems
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• Analysis of united boundary-domain integro-differential and integral equations for a mixed BVP with variable coefficient

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