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Interpolation estimate for a finite-element space with embedded discontinuities

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Publication:2882361
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DOI10.1093/imanum/drq045zbMath1253.65174OpenAlexW2080493032MaRDI QIDQ2882361

Gustavo C. Buscaglia, Abdellatif Agouzal

Publication date: 4 May 2012

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a0b5e392653d079c391b9a968f64579d4548f629


zbMATH Keywords

finite elementinterfacesurface tensionelliptic problemsdiscontinuous pressureinterpolation error estimatecracked domain


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) PDEs with low regular coefficients and/or low regular data (35R05)


Related Items

An improved finite element space for discontinuous pressures ⋮ Numerical assessment of stability of interface discontinuous finite element pressure spaces ⋮ Approximation of the multi-dimensional Stokes system with embedded pressure discontinuities ⋮ Stabilized extended finite elements for the approximation of saddle point problems with unfitted interfaces



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