Characteristic finite element method with moving mesh for nonlinear parabolic integrodifferential equations;

A procedure is defined to discrete the pressure equation by a standard finite element method and the concentration equation by a multistep characteristic finite element method.

A characteristic finite element method is introduced and analysis for approximating the solution of threedimensional Convectiondiffusion equation,Optimal order L2 error estimates are demonstrated.

A least-squares mixed element and the method of characteristics finite element are combined to construct a new numerical method and get optimal estimates.

There has been a great development for the method of finite element since 1950s in practical application, for example: least-squares mixed finite element method, characteristics finite element and moving mesh finite element.

Characteristic element methods are introduced and analyzed for approximating the solutions of three-dimensional transient behavior of semiconductor with heat-conduction, whose mathematical model is initial and boundary problem of nonlinear partial differential equation system.