Some remarks on a priori estimates of highly regular solutions for the Poisson equation in polygonal domains
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This paper presents two expressions for \(H^3\) and \(H^4\) semi-norms for the solutions of the Poisson equation in two-dimensional polygonal domains. These equalities enable us to obtain higher order constructive a priori error estimates for finite element approximation of the Poisson equation with validated computing.
KeywordsPoisson equation A priori estimates
Mathematics Subject Classification65G20 47F05
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