TL;DR
This paper presents a broad superapproximation theorem that enhances the understanding of local and interior error estimates in finite element methods, aiding in more precise numerical analysis.
Contribution
It introduces a general superapproximation result that advances the theoretical framework for finite element error analysis.
Findings
Provides a new superapproximation theorem applicable to finite element methods
Improves accuracy of local and interior error estimates
Enhances theoretical understanding of finite element error behavior
Abstract
A general superapproximation result is derived in this paper which is useful for the local/interior error analysis of finite element methods.
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