Céa's Lemma
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High Quality Content by WIKIPEDIA articles! Céa's lemma is a lemma in mathematics. It is an important tool for proving error estimates for the finite element method applied to elliptic partial differential equations.This result is of a fundamental importance, as it states that the finite element method can be used to approximately calculate the solution of our problem, and that the error in the computed solution decreases proportionately to the partition size h. Céa's lemma can be applied along the same lines to derive error estimates for finite element problems in higher dimensions (here the…mehr

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High Quality Content by WIKIPEDIA articles! Céa's lemma is a lemma in mathematics. It is an important tool for proving error estimates for the finite element method applied to elliptic partial differential equations.This result is of a fundamental importance, as it states that the finite element method can be used to approximately calculate the solution of our problem, and that the error in the computed solution decreases proportionately to the partition size h. Céa's lemma can be applied along the same lines to derive error estimates for finite element problems in higher dimensions (here the domain of u was in one dimension), and while using higher order polynomials for the subspace Vh.