Finite Element Approximation of an Elliptic Boundary Value Problem with Interface

DOI10.1007/978-3-642-00464-3_6zbMath1233.65090OpenAlexW1532952579MaRDI QIDQ3615642

Boško S. Jovanović, Lubin G. Vulkov

Publication date: 24 March 2009

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-00464-3_6

zbMATH Keywords

finite element approximationelliptic boundary value problemSobolev like spaces

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Uses Software

• IIMPACK

Cites Work

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• A finite element method for interface problems in domains with smooth boundaries and interfaces
• Some new a priori estimates for second-order elliptic and parabolic interface problems
• The immersed interface method using a finite element formulation
• Finite element methods and their convergence for elliptic and parabolic interface problems
• New Cartesian grid methods for interface problems using the finite element formulation
• An overview of the immersed interface method and its applications
• The finite element method for elliptic equations with discontinuous coefficients
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• Least-Squares Finite Element Approximations to Solutions of Interface Problems
• On the Convergence of Difference Schemes for Hyperbolic Problems with Concentrated Data
• The Immersed Interface Method
• Numerical Analysis and Its Applications
• On the convergence of finite difference schemes for the heat equation with concentrated capacity

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