Finite difference approximations for some interface problems with variable coefficients

DOI10.1016/J.APNUM.2008.03.020zbMath1158.65059OpenAlexW2128963482MaRDI QIDQ999082

Boško S. Jovanović, Lubin G. Vulkov

Publication date: 30 January 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.03.020

zbMATH Keywords

stabilityconvergenceSobolev spaceweak solutionfinite difference methodselliptic and parabolic interface problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Initial value problems for second-order parabolic equations (35K15)

Related Items (5)

Fractional order convergence rate estimate of finite-difference method for the heat equation with concentrated capacity ⋮ Finite difference approximation for the 2D heat equation with concentrated capacity ⋮ Convergence of a finite difference method for solving 2D parabolic interface problems ⋮ Numerical approximation of a two-dimensional parabolic time-dependent problem containing a delta function ⋮ Numerical approximation of a 2D parabolic transmission problem in disjoint domains

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