A penalty finite element analysis with bi-quadratic elements is used for solving the Navier Stokes and energy balance equations.
In this paper the performances of the third and fifth order bubble functions used in conjunction with bilinear Lagrangian elements to solve the Brinkman equation via a penalty finite element scheme, are reported.
Both papers used the penalty finite element method to solve the governing equations of motion and heat transfer.
Unlike other penalty finite element formulations, equal order integration is used for all terms of the coefficient matrix.
Heinrich and Marshall [4] used the penalty finite element method to investigate lid-driven cavity flow up to R e = 400.
With Navier Stokes and continuity equations and an improved penalty finite element method, air velocities and pressure induced by disc rotation in the enclosure are obtained.
The present study adopts the penalty finite element approach for a couple stress elasticity theory under axisymmetric conditions to numerically simulate and analyze the probing depth dependent deformation.
Penalty-finite element approximations of these problems are constructed.
It combines a coarse grid penalty-spectral element method with a local one-dimensional asymptotic approximation.
In the following, similar to [23], we give the partially penalty immersed finite element method with Crouzeix-Raviart elements and prove the existence and uniqueness of its discrete solution.
