On the optimality of the pointwise accuracy of the finite element solution

DOI10.1002/nme.1620150311zbMath0423.73057OpenAlexW2133259200MaRDI QIDQ3857816

Isaac Fried

Publication date: 1980

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620150311

zbMATH Keywords

closed form finite element solutionsoptimality of pointwise accuracyuniformly loaded membrane

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15)

Related Items (9)

Maximum-norm stability of the finite element Ritz projection under mixed boundary conditions ⋮ Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh ⋮ Regularity estimates and optimal finite element methods in \(W_p^1\) on polygonal domains ⋮ The sharpness of a pointwise error bound in connection with linear finite elements ⋮ Some optimal error estimates of biharmonic problem using conforming finite element ⋮ Finite Element Pointwise Results on Convex Polyhedral Domains ⋮ The $W^1_p$ stability of the Ritz projection on graded meshes ⋮ A remark on the \(L^{\infty}\) bounds of the Ritz operator associated with a finite element approximation ⋮ Optimal maximum norm error estimates for some finite element methods for treating the Dirichlet problem

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