Some error estimates on the large jump asymptotic approach for the interface problem

DOI10.1016/J.AMC.2015.04.044zbMath1410.35009OpenAlexW240434724MaRDI QIDQ1663577

Cunyun Nie, Haiyuan Yu

Publication date: 21 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.044

zbMATH Keywords

error estimatesinterface problemlinear finite elementasymptotic expansion approach

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theoretical approximation in context of PDEs (35A35)

Cites Work

• Unnamed Item
• A numerical method for solving variable coefficient elliptic equation with interfaces
• A large jump asymptotic framework for solving elliptic and parabolic equations with interfaces and strong coefficient discontinuities
• Optimal convergence analysis of an immersed interface finite element method
• Asymptotic expansions and \(L^{\infty}\)-error estimates for mixed finite element methods for second order elliptic problems
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• The Immersed Interface Method for Nonlinear Differential Equations with Discontinuous Coefficients and Singular Sources
• The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions

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