Reconsideration of rectangular Lagrange families with hierarchy-ranking bases

DOI10.1016/0045-7825(80)90016-XzbMath0442.73071MaRDI QIDQ1143876

Yoshiaki Yamada, Masayuki Okabe, Isoharu Nishiguchi

Publication date: 1980

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

arbitrarily placed nodesfamily-organizing lawshierarchy-ranking expressionsinterpolation basesnative Lagrange familyrectangular finite elements

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05)

Related Items (12)

Explicit interpolation formulas for the Bell triangle ⋮ Fundamental theory of the semi-radial singularity mapping with applications to fracture mechanics ⋮ Singularity and positioning constants in Poisson's equation with a point source of unit intensity ⋮ Some general Lagrange interpolations over simplex finite elements with reference to derivative singularities ⋮ Complete Lagrange family for the cube in finite element interpolations ⋮ Analytical integral formulae related to convex quadrilateral finite elements ⋮ A boundary integral approach in the geoelectrical cavity prospecting ⋮ Analytical solutions of some steady-state electrical problems in the rectangular domain ⋮ Semi-radial singularity mapping theory for line singularities in fracture mechanics ⋮ Generalized Lagrange family for the cube with special reference to infinite-domain interpolations ⋮ Gauss-Jacobi quadrature rules for n-simplex with applications to finite element methods ⋮ Full-explicit interpolation formulas for the Argyris triangle

Cites Work

• Basis transformation of trial function space in Lagrange interpolation
• Self-adaptive finite elements in fracture mechanics
• High-order polynomial triangular finite elements for potential problems
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• p-convergent finite element approximations in fracture mechanics
• Adaptive approximations in finite element structural analysis
• Families of consistent conforming elements with singular derivative fields
• Reconsiderations on singularity or crack tip elements
• On completeness of shape functions for finite element analysis
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