Abstract:
In this paper we investigated physical elliptic schemes which contribute major role for
solving real world problems using finite element techniques. In the past there were
physical problems which were solved using finite element techniques with elliptic
partial differential equation. Some are: Galerkin finite element approximation of
stochastic elliptic partial differential equations, an elliptic collocation- finite element
method with interior penalties, solving elliptic finite element systems in near linear
time with support pre-conditioners. In many applications after time discretization a
large number of problems remain to be solved numerically. Example: Singularly
perturbed problems (SPP). SPP arise in many areas, such as in chemical kinetics, fluid
mechanics and system control. So we worked out to investigate relations between
physical systems and elliptic schemes.
