one of the new research fields in plasticity is related to choosing a proper non-associated flow rule (nafr), instead of the associated one (afr), to predict the experimental results more accurately. the idea of the current research is derived from combining von mises and tresca criteria in the places of yield and plastic potential surfaces in rate-independent plasticity.  this idea is implemen...

We generalise the current theory of optimal strong convergence rates for implicit Euler-based methods by allowing for Poisson-driven jumps in a stochastic differential equation (SDE). More precisely, we show that under one-sided Lipschitz and polynomial growth conditions on the drift coefficient and global Lipschitz conditions on the diffusion and jump coefficients, three variants of backward E...

In this paper, we analyze, from the numerical point of view, a swelling porous thermo-elastic problem. The so-called second-sound effect is introduced and modeled by using simplest Maxwell–Cattaneo law. This problem leads to coupled system which written displacements fluid solid, temperature heat flux. analysis performed applying classical finite element method with linear elements for spatial ...

We present a computational framework for modeling an inextensible single vesicle driven by the Helfrich force in incompressible, non-Newtonian extracellular Carreau fluid. The membrane is captured with level set strategy. local inextensibility constraint relaxed introducing penalty which allows savings and facilitates implementation. A high-order Galerkin finite element approximation accurate c...

In this paper, we apply first and higher-order Euler discretizations to compare dynamic systems in discrete and continuous time. In addition, we stress the difference between backward and forward-looking approximations. Focussing on local bifurcations, we find that time representation is neutral and asymptotically neutral for models with saddle-node and Hopf bifurcations, respectively. Converse...

The motive of this paper is, to develop accurate and parameter uniform numerical method for solving singularly perturbed delay parabolic differential equation with non-local boundary condition exhibiting layers. Also, the term that occurs in space variable gives rise interior layer. Fitted operator finite difference on mesh uses procedures line spatial discretization backward Euler resulting sy...

We introduce different high order time discretization schemes for backward semi-Lagrangian methods. These schemes are based on multi-step schemes like AdamsMoulton and Adams-Bashforth schemes combined with backward finite difference schemes. We apply these methods to transport equations for plasma physics applications and for the numerical simulation of instabilities in fluid mechanics. In the ...

Singular source terms in sub-diffusion equations may lead to the unboundedness of solutions, which will bring a severe reduction convergence order existing time-stepping schemes. In this work, we propose two efficient schemes for solving with class mildly singular time. One discretization is based on Grünwald-Letnikov and backward Euler methods. First-order error estimate respect time rigorousl...

In this paper, we address the numerical solution of optimal transport problem on undirected weighted graphs, taking shortest path distance as cost. The is obtained from long-time limit gradient descent dynamics. Among different time stepping procedures for discretization dynamics, a backward Euler scheme combined with inexact Newton--Raphson method results in robust and accurate approach graphs...