A Clough-Tocher Type Element Useful for Fourth Order Problems Over Nonpolygonal Domains

DOI10.2307/2006262zbMath0382.65060OpenAlexW4234760891MaRDI QIDQ4160350

Lois Mansfield

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2006262

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (7)

\(\mathcal C^ 1\)-curved finite elements and applications to plate and shell problems ⋮ Interpolated boundary conditions in plate bending problems using \(C^1\)-curved finite elements ⋮ Optimal Lagrange and Hermite finite elements for Dirichlet problems in curved domains with straight‐edged triangles ⋮ A stable and \(H^1\)-conforming divergence-free finite element pair for the Stokes problem using isoparametric mappings ⋮ Isoparametric \(C ^{0}\) interior penalty methods for plate bending problems on smooth domains ⋮ \({\mathcal C}^ 1\)-curved finite elements with numerical integration for thin plate and thin shell problems. I: Construction and interpolation properties of curved \({\mathcal C}^ 1\) finite elements ⋮ Internal finite element approximation in the dual variational method for the biharmonic problem

Cites Work

• Unnamed Item
• Lectures on the finite element method. Notes by S. Kesavan, Akhil Ranjan, M. Vanninathan
• Compatible triangular finite-elements
• Approximation of the Boundary in the Finite Element Solution of Fourth Order Problems
• Curved Elements in the Finite Element Method. I
• Tricubic Polynomial Interpolation

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