Dual finite element analysis for an inequality of the 2nd order

Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations

The paper is devoted to the construction of finite element methods for 2nd order elliptic equations based on a primal hybrid variational principle. Optimal error bounds are proved. As a corollary, we obtain a general analysis of nonconforming finite element methods.

An Algorithm for Finite Element Analysis of Tunnel Supports Based on the Winkler’s Theory

An Algorithm for Finite Element Analysis of Tunnel Supports Based on the Winkler’s Theory

The Performance of an Hexahedron C* Element in Finite Element Analysis

The performance of an 8-noded hexahedron C1* element in elasticity is investigated. Three translational displacements and their derivatives as strain in each direction are considered as degrees of freedom (d.o.f.’s) at each node. The geometric mapping is enforced using a C0 element with no derivative as nodal d.o.f.’s . The stiffness matrix of the element is also computed using a transformation...

Spectrally formulated finite element for vibration analysis of an Euler-Bernoulli beam on Pasternak foundation

  In this article, vibration analysis of an Euler-Bernoulli beam resting on a Pasternak-type foundation is studied. The governing equation is solved by using a spectral finite element model (SFEM). The solution involves calculating wave and time responses of the beam. The Fast Fourier Transform function is used for temporal discretization of the governing partial differential equation into a se...