Application Of Compact High-order Finite
Elements (CHOFE) To Nonlinear
Convection-dominated Problems
Author(s)
M.A. Langerman & R.J. MacKinnon
Abstract
Application of compact high-order finite
elements (CHOFE) to nonlinear
convection-dominated problems
M.A. Langerman" & R.J. MacKinnon^
"Mechanical Engineering Department,
South Dakota School of Mines and Technology,
Rapid City, SD, 57701, USA
^Nuclear Engineering Brookhaven National
Laboratory, Upton, NY, 11973, USA
A a new superconvergent, Petrov-Galerkin (PG), bilinear finite element method is
presented for the solution of nonlinear convection-dominated problems. The scheme
combines a generalized test function and artificial diffusion to achieve high-order
[O(h )] grid-point accuracy. The solution is obtained on uniform (compact) stencils of
3x1 and 3x3 in one and two dimensions, respectively, without resorting to the extended
stencils of high-order elements, thereby minimizing the matrix bandwidth. The
CHOFE method is compared with the standard bilinear Galerkin finite-element
method for convection-diffusion problems described by the steady form of the one- and
t
Keywords
Related Book
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