نتایج جستجو برای: smoothed fixed grid finite element method
تعداد نتایج: 2134863 فیلتر نتایج به سال:
In this paper, a class of fourth-order nonlinear elliptic problem is investigated in a bounded convex domain X R. Under some assumptions, the existence and uniqueness of solution are proved via the Schaefer’s Fixed Point Theorem. Furthermore, conforming finite element approximation is applied and H-error estimate and L-error estimate are obtained. Finally, the numerical experiments are provided...
tooth/implant supported fixed prostheses may present biomechanical design problems, as the implant is rigidly anchored within the alveolus, whereas the tooth is attached by the periodontal ligament to the bone allowing movement. many clinicians prefer tooth/implant supported fixed prosthesis designs with rigid connectors. however, there are some doubts about the effect of attachment placement i...
A new finite difference numerical method for modeling the interaction between flexible elastic membranes and an incompressible fluid in a two-dimensional domain is presented. The method differs from existing methods in the way the forces exerted by the membranes on the fluid are modeled. These are described by a collection of regularized point forces, and the velocity field they induce is compu...
We consider the numerical solution of a singularly perturbed two-dimensional reactiondiffusion problem by a multiscale sparse grid finite element method. A Shishkin mesh which resolves the boundary and corner layers, and yields a parameter robust solution, is used. Our analysis shows that the method achieves essentially the same accuracy as the standard Galerkin finite element method, but does ...
A variety of particle-based methods have been developed for the purpose computationally modelling processes that involve, example, complex topological changes interfaces, significant plastic deformation materials, fluid flow in conjunction with heat transfer and phase transformation, porous media, granular flow, etc. Being different from conventional directly solve related governing equations u...
We perform a mathematical analysis of a model for drug dissolution-diffusion in non erodible nor swellable devices. We deduce a model and obtain a coupled nonlinear system which contains a parabolic equation for the dissolved drug and an ordinary differential equation for the solid drug, which is assumed to be distributed in the whole domain into microspheres which can differ in size. We analyz...
The cylinder working fluid mean temperature, rate of heat fluxes to combustion chamber and temperature distribution on combustion chamber surface will be calculated in this research. By simulating thermodynamic cycle of engine, temperature distribution of combustion chamber will be calculated by the Crank-Nicolson method. An implicit finite difference method was used in this code. Special treat...
We present an efficient computational method to model fluid flow in the presence of random wall roughness. A random flow domain is represented by a stochastic indicator function having a smoothed profile perpendicular to roughness, and the random domain is discretized with a fixed non-conformal grid. This procedure introduces a stochastic force into the Navier–Stokes equations, and modifies the...
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