We consider the tensorial diffusion equation, and address the discrete maximumminimum principle of mixed finite element formulations. In particular, we address non-negative solutions (which is a special case of the maximum-minimum principle) of mixed finite element formulations. It is well-known that the classical finite element formulations (like the single-field Galerkin formulation, and Ravi...

This paper presents a finite element formulation suitable for large-strain modeling of biological tissues and uses this formulation to implement an accurate finite element model for mitral valve leaflet tissue. First, an experimentally derived strain energy function is obtained from literature. This function is implemented in finite elements using the mixed pressure-displacement formulation. A ...

the nonlinear discrete crack modeling of Shahid Rajaee thin arch dam is considered. The interface elements are positioned such that certain potential separated blocks can form possible failure mechanisms. The dynamic stability of theses blocks are investigated by a special finite element program "MAP-73" which its nonlinear algorithm and interface elements formulation are presented.

In this paper we consider the European continuous installment call option. Then  its linear complementarity formulation is given. Writing the resulted problem in variational form, we prove the existence and uniqueness of its weak solution. Finally finite element method is applied to price the European continuous installment call option.

Abstract-An Eulerian finite element formulation is presented for problems of large elastic-plastic flow. The method is based on Hill’s variational principle for incremental deformations, and is ideally suited to isotropically hardening Prandtl-Reuss materials. Further, the formulation is given in a manner which allows any conventions finite element program, for “small strain” elastic-plastic an...

Calculations of heat fluxes through fixed temperature walls from CFD results have become of great importance in many industrial applications. The objective of this work is to present a consistent numerical technique to compute heat fluxes through isothermal boundaries. In the present paper, we consider a stabilized PSPG/SUPG finite element scheme for the steady Navier-Stokes equations for varia...

We will present a set of equations for General Relativity adapted to weak simplicial spacetimes. The equations will be obtained via a weak formulation of the field equations similar to the methods commonly used in finite element schemes. The equations will be shown to be a weighted sum of the Regge equations.

The aim of this work is to asses the computational performance of a finite element formulation based on nodal elements and the regularized Maxwell equations. We analyze the memory requirements and the condition number of the matrix when the formulation is applied to electromagnetic engineering problems. As a reference, we solve the same problems with the best known finite element formulation ba...

A dual mixed finite element method, for quasi–Newtonian fluid flow obeying to the power law, is constructed and analyzed in [8]. This mixed formulation possesses local (i.e., at element level) conservation properties (conservation of the momentum and the mass) as in the finite volume methods. We propose here an a posteriori error analysis for this mixed formulation.

An absolutely stabilized finite element formulation for the Stokes problem is presented in this paper. This new formulation, which is nonsymmetric but stable without employment of any stability constant, can be regarded as a modification of the formulation proposed recently by Hughes and Franca in [8]. Optimal error estimates in L2-norm for the new stabilized finite element approximation of bot...