Depth-averaged Tidal Flow Simulation by Stabilized Finite Element Formulation in the Ocean Surrounding Indonesia

Numerical Flood Simulation by Depth Averaged Free Surface Flow Models

Stabilized finite element formulation for elastic–plastic finite deformations

This paper presents a stabilized finite element formulation for nearly incompressible finite deformations in hyperelastic–plastic solids, such as metals. An updated Lagrangian finite element formulation is developed where mesh dependent terms are added to enhance the stability of the mixed finite element formulation. This formulation circumvents the restriction on the displacement and pressure ...

A stabilized finite element formulation for advection-diffusion using the generalized finite element framework

The following work presents a generalized (extended) finite element formulation for the advection–diffusion equation. Using enrichment functions that represent the exponential nature of the exact solution, smooth numerical solutions are obtained for problems with steep gradients and high Peclet numbers (up to Pe = 25) in one and two-dimensions. As opposed to traditional stabilized methods that ...

A Mixed Stabilized Finite Element Formulation for Strain Localization Analysis

This work exploits the concept of stabilization techniques to improve the behaviour of either mixed or p u / mixed u / ε linear/linear triangular elements when strain localization analysis is required. Different stabilization methods suitable for either Mode-I or Mode-II structural failure are proposed and compared to check the global stability of the corresponding discrete finite element formu...

Surveys on Mathematics for Industry a Stabilized Finite Element Formulation for the Reynolds-averaged Navier-stokes Equations

Finite element technologies have been applied to fluid dynamrcs problems for some time now. The early work focused on Galerkin 's method and various attempts to improve its stability while retaining its basic character. In the late 1970s a new approach was introduced, namely, "stabili zed methods," such as SUPG and Galerkin/least-s quares. These methods have been applied to many areas in fluid ...