In this paper, we propose an extended mixed finite element method for elasticity interface problems based on Mini space. The stabilization term defined edges of elements and the ghost penalty are added, which ensures that discrete inf-sup condition holds independent how intersects triangulation. Finally, numerical experiments carried out to verify theoretical analysis.

In this paper, we present a consistent spatial formulation for discontinuous Galerkin (DG) methods applied to solid mechanics problems with finite deformation. This spatial formulation provides a general, accurate, and efficient DG finite element computational framework for modeling nonlinear solid mechanics problems. To obtain a consistent formulation, we employ the Incomplete Interior Penalty...

We develop space-time adaptive and high-order methods for valuing American options using a partial differential equation (PDE) approach. The linear complementarity problem arising due to the free boundary is handled by a penalty method. Both finite difference and finite element methods are considered for the space discretization of the PDE, while classical finite differences, such as Crank-Nico...

This paper concerns discontinuous finite element approximations of a fourth-order bi-wave equation arising as a simplified Ginzburg-Landautype model for d-wave superconductors in the absence of an applied magnetic field. In the first half of the paper, we construct a variant of the Morley finite element method, which was originally developed for approximating the fourthorder biharmonic equation...

For the Hodge–Laplace equation in finite element exterior calculus, we introduce several families of discontinuous Galerkin methods extended framework. contractible domains, this framework utilizes seven fields and provides a unifying inf-sup analysis with respect to all discretization penalty parameters. It is shown that proposed can be hybridized as reduced two-field formulation.

Discontinuous Galerkin (DG) methods employ discontinuous piecewise polynomials to approximate the solutions of differential equations with boundary conditions and interelement continuity weakly imposed through bilinear forms. Examples of these schemes include the Bassy-Rebay method, the Local Discontinuous Galerkin (LDG) methods, the Oden-Babuška-Baumann (OBB-DG) method and interior penalty Gal...

frictional shear stress is usually determined by utilizing the coefficient of friction or the constant friction factor models. the present study deals with finite element analysis of double cup extrusion process to determine the relationship between constant friction factor (m) and coefficient of friction (µ), since the metal flow in this process is very sensitive to frictional conditions. ther...