Hermitian finite element complementing the Bogner-Fox-Schmit rectangle near curvilinear boundary

DOI10.1134/S1995080216050036zbMath1354.65244MaRDI QIDQ345328

Boris S. Dobronets, Vladimir Viktorovich Shaydurov

Publication date: 1 December 2016

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

approximation of curvilinear boundaryBogner-Fox-Schmit rectanglecontinuously differentiable finite elementsHermitian finite element

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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• Plates and FEM. Surprises and pitfalls
• New error estimates of bi-cubic Hermite finite element methods for biharmonic equations
• A family of triangular Hermite finite elements complementing the Bogner-Fox-Schmit rectangle
• On Cubic and Quartic Clough–Tocher Finite Elements
• Piecewise Quadratic Approximations on Triangles
• Convergence of V- and F-cycle multigrid methods for the biharmonic problem using the Hsieh-Clough-Tocher element

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