Dual-mixed variational formulation and hp finite element method for axisymmetric shell problems in elastodynamics

A reduced constraint hp finite element method for shell problems

We propose and analyze an hp finite element method for the Nagdhi shell model, based on rectangular elements. We show that for the bending-dominated case, assuming sufficient smoothness on the solution, the method is locking free in terms of both h and p, as the thickness of the shell tends to zero. Our results are established under the assumption that the geometrical coefficients appearing in ...

THE hp FINITE ELEMENT METHOD FOR SINGULARLYPERTURBED PROBLEMS IN SMOOTH

We consider the numerical approximation of singularly perturbed elliptic problems in smooth domains. The solution to such problems can be decomposed into a smooth part and a boundary layer part. We present guidelines for the eeective resolution of boundary layers in the context of the hp nite element method and we construct tensor product spaces that approximate these layers uniformly at a near...

Hp Finite Element Method for Convection-diiusion Problems

Mixed finite element formulation enriched by Adomian method for vibration analysis of horizontally curved beams

Abstract: The vibration analysis of horizontally curved beams is generally led to higher order shape functions using direct finite element method, resulting in more time-consuming computation process. In this paper, the weak-form mixed finite element method was used to reduce the order of shape functions. The shape functions were first considered linear which did not provide adequate accuracy....

Axisymmetric Scaled Boundary Finite Element Formulation for Wave Propagation in Unbounded Layered Media

Wave propagation in unbounded layered media with a new formulation of Axisymmetric Scaled Boundary Finite Element Method (AXI-SBFEM) is derived. Dividing the general three-dimensional unbounded domain into a number of independent two-dimensional ones, the problem could be solved by a significant reduction in required storage and computational time. The equations of the corresponding Axisymmetri...