Higher order compatible triangular finite elements

DOI10.1007/BF01436723zbMath0265.65011OpenAlexW2037999448MaRDI QIDQ2561954

Lois Mansfield

Publication date: 1974

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

Full work available at URL: https://eudml.org/doc/132255

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items

Dyadic Hermite interpolants on a triangulation, OVERHAUSER TRIANGULAR ELEMENTS FOR THREE-DIMENSIONAL POTENTIAL PROBLEMS USING BOUNDARY ELEMENT METHODS, Surfaces Generated by Moving Least Squares Methods, Compatible smooth interpolation in triangles, Interpolation to boundary data in tetrahedra with applications to compatible finite elements, \(C^r\) rational splines over a triangulation, Finite element subspaces with optimal rates of convergence for the stationary Stokes problem, A hierarchic family of conforming finite elements for the solution of plate bending problems, Composite finite elements of class \(C^ k\)

Cites Work

• Construction of basic functions for numerical utilisation of Ritz's method
• Smooth interpolation in triangles
• Compatible triangular finite-elements
• Error bounds for smooth interpolation in triangles
• Interpolation polynomials on the triangle
• Approximation in the finite element method
• Interpolation to boundary data in triangles
• Triangular Elements in the Finite Element Method
• Tricubic Polynomial Interpolation
• Finite element with high degree of regularity