A Weak Galerkin Method for the Reissner–Mindlin Plate in Primary Form

A Discontinuous Galerkin Method for the Plate Equation

We present a discontinuous Galerkin method for the plate problem. The method employs a discontinuous approximation space allowing, non matching grids and diierent types of approximation spaces. Continuity is enforced weakly through the vari-ational form. Discrete approximations of the normal and twisting moments and the transversal force, which satisfy the equilibrium condition on an element le...

A Comparative Study of Least-Squares and the Weak-Form Galerkin Finite Element Models for the Nonlinear Analysis of Timoshenko Beams

In this paper, a comparison of weak-form Galerkin and least-squares finite element models of Timoshenko beam theory with the von Kármán strains is presented. Computational characteristics of the two models and the influence of the polynomial orders used on the relative accuracies of the two models are discussed. The degree of approximation functions used varied from linear to the 5th order. In ...

A Weak Galerkin Mixed Finite Element Method for Biharmonic Equations

This article introduces and analyzes a weak Galerkin mixed finite element method for solving the biharmonic equation. The weak Galerkin method, first introduced by two of the authors (J. Wang and X. Ye) in [52] for second order elliptic problems, is based on the concept of discrete weak gradients. The method uses completely discrete finite element functions and, using certain discrete spaces an...

Weak Galerkin Finite Element Method for Second Order Parabolic Equations

We apply in this paper the weak Galerkin method to the second order parabolic differential equations based on a discrete weak gradient operator. We establish both the continuous time and the discrete time weak Galerkin finite element schemes, which allow using the totally discrete functions in approximation space and the finite element partitions of arbitrary polygons with certain shape regular...

Weak-Form Efficiency In The German Stock Market