Analysis of the Fictitious Domain Method with anL2-Penalty for Elliptic Problems

DOI10.1080/01630563.2015.1013554zbMath1320.65192OpenAlexW2151340598MaRDI QIDQ5264010

Guanyu Zhou, Norikazu Saito

Publication date: 20 July 2015

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2015.1013554

zbMATH Keywords

finite element methodfinite volume methoderror estimatepenaltyfictitous domain method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite volume methods for boundary value problems involving PDEs (65N08) Fictitious domain methods for boundary value problems involving PDEs (65N85)

Related Items (7)

Fractional centered difference scheme for high-dimensional integral fractional Laplacian ⋮ Penalization method for the Navier–Stokes–Fourier system ⋮ The fictitious domain method for the Stokes problem with Neumann/free-traction boundary condition ⋮ The fictitious domain method with \(H^1\)-penalty for the Stokes problem with Dirichlet boundary condition ⋮ A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains ⋮ The fictitious domain method with penalty for the parabolic problem in moving-boundary domain: the error estimate of penalty and the finite element approximation ⋮ An augmented interface approach in fictitious domain methods

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