Superconvergence of Some Linear and Quadratic Functionals for Higher-Order Finite Elements

DOI10.1007/978-3-319-20239-6_8zbMath1359.65267OpenAlexW1228586670MaRDI QIDQ2942191

Tianshi Xu, Vladimir Viktorovich Shaydurov

Publication date: 20 August 2015

Published in: Finite Difference Methods,Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-20239-6_8

zbMATH Keywords

finite element methodconvergence orderdual problemsBogner-Fox-Schmit elementHermite finite elementsoutput functionals

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Ein Kriterium für die Quasi-Optimalität des Titzschen Verfahrens
• On the Full C₁-Q_k Finite Element Spaces on Rectangles and Cuboids
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