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A fractional‐order trace‐dev‐div inequality

Year: 2025

Type: article

Abstract: The trace‐dev‐div inequality in H^s controls the trace in the norm of H^s by that of the deviatoric part plus the H^{s-1} norm of the divergence of a quadratic tensor field different from the constant unit matrix. This is well known for s=0 and established for orders 0 ≤ s≤ 1 and arbitrary space dimension in this paper. For mixed and least‐squares finite element error analysis in linear elasticity, this inequality allows to establish robustness with respect to the Lamé parameter λ.

Source: edoc Publication server (Humboldt University of Berlin)

Authors: Carstensen, C., Heuer, N.

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7106710063

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