In this paper, we integrate a 3D mesh generator into the simulation, and use MPI to parallelize the 3D mesh generator, illustrate an element-based partitioning scheme for explicit finite element methods, and based on the partitioning scheme and what we learned from our previous work, we implement our hybrid MPI/OpenMP finite element earthquake simulation code in order to not only achieve multip...

Abstract In this paper, we study the approximation of eigenvalues arising from mixed Hellinger–Reissner elasticity problem by using a simple finite element introduced recently one authors. We prove that method converges when residual type error estimator is considered and decays optimally with respect to number degrees freedom. A postprocessing technique originally proposed in different context...

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...

A finite element wave-packet procedure is presented to solve problems of wave propagation in multiscale behavior. The proposed scheme combines the advantages of the finite element and spectral methods. The basic formulation is presented, and the capabilities of the procedure are demonstrated through the solution of some illustrative problems, including a problem that characterizes the mode-conv...

We are concerned with the finite-element approximation for the Keller-Segel system that describes the aggregation of slime molds resulting from their chemotactic features. The scheme makes use of a semi-implicit time discretization with a time-increment control and Baba-Tabata’s conservative upwind finite-element approximation in order to realize the positivity and mass conservation properties....

A numerical technique for the solution of the compressible flow equations over unstructured grids in a spherical reference is presented. The proposed approach is based on a mixed finite volume/finite element discretization in space. Equivalence conditions relating the finite volume and the finite element metrics in spherical coordinates are derived. Numerical simulations of the explosion and im...

We study a finite element approximation for the consistent splitting scheme proposed in [11] for the time dependent Navier-Stokes equations. At each time step, we only need to solve a Poisson type equation for each component of the velocity and the pressure. We cast the finite element approximation in an abstract form using appropriately defined discrete differential operators, and derive optim...

In this paper, we study adaptive finite element discretisation schemes for a class of parameter estimation problem. We propose to use adaptive multi-meshes in developing efficient algorithms for the estimation problem. We derive equivalent a posteriori error estimators for both the state and the control approximation, which particularly suit an adaptive multi-mesh finite element scheme. The err...