A finite element method scheme for one-dimensional elliptic equations with high superconvergence at the nodes

DOI10.1007/BF01389494zbMath0548.65067OpenAlexW1987101895MaRDI QIDQ799353

Jean-François Ciavaldini, Michel Crouzeix

Publication date: 1985

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133004

zbMATH Keywords

error estimatesfinite element methodsuperconvergenceone-dimensional elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (2)

Superconvergence of the gradient of Galerkin approximations for elliptic problems ⋮ Superconvergence of the gradient of Galerkin approximations for elliptic problems

Cites Work

• On the rotating beam: Some theoretical and numerical results
• Discrete variational Green's function
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