Boundary-domain integral equations for the diffusion equation in inhomogeneous media based on a new family of parametrices

DOI10.1080/17476933.2019.1591382zbMath1436.35122arXiv1801.03854OpenAlexW2937313658MaRDI QIDQ4960382

Carlos Fresneda-Portillo

Publication date: 15 April 2020

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.03854

zbMATH Keywords

mixed boundary value problemsystem of boundary-domain integral equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integro-partial differential equations (45K05) Linear integral equations (45A05)

Related Items (4)

On the well-posedness of two boundary-domain integral equation systems equivalent to the Dirichlet problem for the Stokes system with variable viscosity ⋮ On the analysis and numerics of united and segregated boundary-domain integral equation systems in 2D ⋮ A new family of boundary-domain integral equations for the diffusion equation with variable coefficient in unbounded domains ⋮ On a boundary-domain integral equation system for the Robin problem for the diffusion equation in non-homogeneous media

Cites Work

• Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D
• 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
• Boundary integral equations
• Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. II: Solution regularity and asymptotics
• An improved boundary element Galerkin method for three-dimensional crack problems
• Localized boundary-domain integral formulations for problems with variable coefficients
• Analysis of segregated boundary-domain integral equations for BVPs with non-smooth coefficients on Lipschitz domains
• Local integro-differential equations with domain elements for the numerical solution of partial differential equations with variable coefficients
• Mesh-based numerical implementation of the localized boundary-domain integral-equation method to a variable-coefficient Neumann problem
• Analysis of Boundary–Domain Integral Equations for Variable-Coefficient Dirichlet BVP in 2D
• BDIE System in the Mixed BVP for the Stokes Equations with Variable Viscosity
• ANALYSIS OF DIRECT SEGREGATED BOUNDARY-DOMAIN INTEGRAL EQUATIONS FOR VARIABLE-COEFFICIENT MIXED BVPs IN EXTERIOR DOMAINS
• 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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