On a massively parallel finite element method

This paper discusses the key-properties from the Parallel Finite Element Method (PFEM). It focuses at the PFEM applications in the context of non-conforming finite element basis functions (for maximal parallelism) on locally-bisection-refined tensor-product grids (for simple and cheap load balance techniques).

The Parallel Finite Element Method is an iterative solution...

maubach.pdf305.73 KB

Comparative analysis of finite element approximation for the Navier-Stokes equations with basis functions of different orders

Finite element methods (the Uzawa algorithm and a mixed finite element method) for the solution of the Navier-Stokes equations on triangular grids are considered. For approximation of velocity and pressure, interpolating functions from different finite element spaces are chosen. The properties of the algorithms are tested on an analytical test...

shurina.pdf286.34 KB