Galerkin Mixed Finite Element Method Research Articles

A Tetrahedral Mixed Finite Element Method for the Stationary Semiconductor Continuity Equations

A Petrov–Galerkin mixed finite element method based on tetrahedral elements for the stationary semiconductor device continuity equations is presented. This method can be regarded as a natural extension to three dimensions of the well known Scharfetter–Gummel one-dimensional scheme. Existence, uniqueness and stability of the approximate solution are proved and an error estimate is given for an arbitrary Delaunay mesh and corresponding Dirichlet tessellation. The associated linear system is a symmetric and positive definite M-matrix. The evaluation of the terminal currents associated with the method is also discussed and it is shown that the computed terminal currents are convergent and conservative. Numerical results for a model three-dimensional device are presented to validate the theoretical results.

Compression molding using a generalized eulerian–lagrangian formulation with automatic remeshing

AbstractA generalized Eulerian‐Lagrangian approach is used to study the compression molding of viscoelastic polymers. The complete, unsteady, two‐dimensional equations of motion are used in the analysis. The White–Metzner model is used to describe the constitutive behavior of the material. The solution is obtained using a mixed Galerkin finite element method. An automatic remeshing scheme is introduced to reduce the mesh distortion during the solution procedure. Results for the pressure and force required in mold closing are presented for the isothermal filling of a rectangular cavity. © 1992 John Wiley & Sons, Inc.

HEAT TRANSFER TO SPHERES FROM A POLYMER MELT

A Galerkin mixed finite-element method was used to predict the effect of fluid elasticity, temperature-dependent fluid properties, shear-dependent fluid properties, and viscous dissipation on the overall rate of heat transfer between a polymer melt and a sphere. A correlation is developed for the Nusselt number that accounts for changes in Peclet number, viscous dissipation, and a temperature-dependent viscosity function

Finite element analysis of non-Newtonian fluid flow in 2-d branching channel

This paper presents finite element analysis of non-Newtonian fluid flow in 2-d branching channel. The Galerkin method and mixed finite element method are used. Here the fluid is considered as incompressible, non-Newtonian fluid with Oldyord differential-type constitutive equation. The non-linear algebraic equation system which is formulated with finite element method is solved by means of continuous differential method. The results show that finite element method is suitable for the analysis of non-Newtonian fluid flow with complex geometry.