The Finite Element Method, the Basis
By Robert Taylor. 2000
629 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/86af251a7cdec702ebf13a4edf5ad15c3ffba84d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- Robert Taylor
- Eugenio Oñate
- Marc Oxborrow
- Michael H. Scott
- Giuseppe Allegra
- Thomas J. R. Hughes
- Ferdinando Auricchio
- J. Rojek
Citations in the corpus
- Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis (2014, methodology): “However, for standard triangles and tetrahedra, the required degree is only 2(p − m), since they typically employ complete polynomials instead of tensor products as basis functions [27, 39].”
- Plastic Hinge Integration Methods for Force-Based Beam¿Column Elements (2006, methodology): “Displacement-based beam–column elements follow the standard finite element approach, in which the element displacement field is expressed as a function of the nodal displacements Hughes 1987; Zienkiewicz and Taylor 2000 .”
- Traceable 2-D Finite-Element Simulation of the Whispering-Gallery Modes of Axisymmetric Electromagnetic Resonators (2006, methodology): “Though alternatives abound [1], [2], [3], the latter often use the finite-element method (FEM) [4], [5].”
- A residual correction method based on finite calculus (2003, methodology): “The results for the T1P1 element where both displacements and pressure are defined using continuous linear interpolation on each triangle are in fact identical to many other forms (Zienkiewicz and Taylor, 2000b) and occur as the first solution in the iterative split form.”
- A mixed finite element method for beam and frame problems (2003, methodology): “Considering the functional form given by Eq. (19) we can show that the conditions of approximation for stress and strain for this case must satisfy the mixed patch test count conditions [ 9 ]”
- CHARMS: a simple framework for adaptive simulation (2002, methodology): “Our material model is an isotropic elastic continuum [Zienkiewicz and Taylor 2000]; as the deformations are small we adopted linearized equations of equilibrium.”