Some advances in high-performance finite element methods

High Performance Adaptive Finite Element Methods : With Applications in Aerodynamics

The massive computational cost for resolving all scales in a turbulent flow makes a direct numerical simulation of the underlying Navier-Stokes equations impossible in most engineering applications. Recent advances in adaptive finite element methods offer a new powerful tool in Computational Fluid Dynamics (CFD). The computational cost for simulating turbulent flow can be minimized by adaptivel...

Some Recent Advances for Practical Finite Element Analysis

AbstrPct--This paper illustrates some recent advances in finite element procedures that are important for practical engineering analysis. Capabilities to solve large hnite element systems using iterative methods, and some significant advances in finite element procedures for the nonlinear analysis of structures and fluids are demonstrated. The emphasis is on presenting solution results that dem...

Finite Element Methods for Convection Diffusion Equation

This paper deals with the finite element solution of the convection diffusion equation in one and two dimensions. Two main techniques are adopted and compared. The first one includes Petrov-Galerkin based on Lagrangian tensor product elements in conjunction with streamlined upwinding. The second approach represents Bubnov/Petrov-Galerkin schemes based on a new group of exponential elements. It ...

Superconvergence in Finite - Element Methods

My research focuses on applied aspects of the calculus of variations and partial differential equations, particularly nonlinear equations arising from physics and chemistry, and numerical analysis and scientific computing, particularly finite-element analysis and numerical methods for interface motion. I have worked on mathematical and numerical problems arising from materials science, such as ...

Finite Element Methods