Estimates for the \(L_{2}\)-projection onto continuous finite element spaces in a weighted \(L_{p }\)-norm

DOI10.1007/s10543-006-0062-3zbMath1120.65117OpenAlexW1985544725MaRDI QIDQ2502324

Mats Boman

Publication date: 12 September 2006

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-006-0062-3

zbMATH Keywords

a posteriori error estimatesweighted \(L_{p}\)-norm\(L_{2}\)-projectionlinear finite element space

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)

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Cites Work

• Unnamed Item
• An adaptive mesh-refining algorithm allowing for an \(H^1\) stable \(L^2\) projection onto Courant finite element spaces
• Some Estimates for a Weighted L 2 Projection
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• The Stability in L p and W p 1 of the L 2 -Projection onto Finite Element Function Spaces
• Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $

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