Finite element solution of microwave heating equations

Solution of Wave Equations Near Seawalls by Finite Element Method

A 2D finite element model for the solution of wave equations is developed. The fluid is considered as incompressible and irrotational. This is a difficult mathematical problem to solve numerically as well as analytically because the condition of the dynamic boundary (Bernoulli’s equation) on the free surface is not fixed and varies with time. The finite element technique is applied to solve non...

Solution of Noncatalytic Packed Bed Reactors Equations by Finite Element Method

Finite Element Solution of the Fundamental Equations of Semiconductor Devices

We investigate the nonstationary equations of the semiconductor device theory consisting of a Poisson equation for the electric potential ¡p ai,d of two highly nonlinear continuity equations for carrier densities « and p. We use simplicial elements with linear polynomials and four-node two-dimensional and eight-node three-dimensional isoparametric elements. There are constructed finite element ...

On the Automatic Solution of Nonlinear Finite Element Equations

An algorithm for the automatic incremental solution of nonlinear finite element equations in static analysis is presented. The procedure is designed to calculate the preand post-buckling/collapse response of general structures. Also, eigensolutions for calculating the linearized buckling response are discussed. The algorithms have been implemented and various experiences with the techniques are...

A Finite Element Solution Algorithm for the Navier-stokes Equations