On improved P1-interpolation error estimates in W1,p (0, 1): application to the finite element method

Joel Chaskalovic; Franck Assous

doi:10.3846/mma.2026.22775

On improved P₁-interpolation error estimates in W^1,p (0, 1): application to the finite element method

Joel Chaskalovic
, Franck Assous

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Based on a new Taylor-like formula, we derived an improved interpolation error estimate in W^1,p . We compare it with the classical error estimates based on the standard Taylor formula, and also with the corresponding interpolation error estimate, derived from the mean value theorem. We then assess the improvement in accuracy we can get from this formula, leading to a significant reduction in finite element computation costs.

Original language	English
Pages (from-to)	96-115
Number of pages	20
Journal	Mathematical Modelling and Analysis
Volume	31
Issue number	1
DOIs	https://doi.org/10.3846/mma.2026.22775
State	Published - 19 Jan 2026

Keywords

Taylor-like formula
approximation error
error estimate
finite elements
interpolation error

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10.3846/mma.2026.22775

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KW - approximation error

KW - error estimate

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On improved P₁-interpolation error estimates in W^1,p (0, 1): application to the finite element method

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Keywords

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