A new cloud-based hp finite element method

Duality-based adaptivity in the hp-finite element method

In this paper a duality-based a posteriori error analysis is developed for the conforming hp Galerkin finite element approximation of second-order elliptic problems. Duality arguments combined with Galerkin orthogonalty yield representations of the error in arbitrary quantities of interest. From these error estimates, criteria are derived for the simultaneous adaptation of the mesh size h and t...

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 ...

A New Stress Based Approach for Nonlinear Finite Element Analysis

This article demonstrates a new approach for nonlinear finite element analysis. The methodology is very suitable and gives very accurate results in linear as well as in nonlinear range of the material behavior. Proposed methodology can be regarded as stress based finite element analysis as it is required to define the stress distribution within the structural body with structural idealization a...

Hp-meshless Cloud Method

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...