Computational Experiments and Techniques for the Penalty Method with Extrapolation

Computational Experiments and Techniques for the Penalty Method With Extrapolation

In this note we present results of a computational investigation of the extrapolated penalty method for approximate solution of elliptic boundary value problems. We investigate the effects of extrapolation and present an iterative technique for solving the extra linear algebraic systems necessary to perform the process. We indicate how convergence of the iterative procedure may be accelerated w...

Extrapolation Method for Fuzzy Dierential Inclusions

the search for the self in becketts theatre: waiting for godot and endgame

this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...

Experiments with Range Computations Using Extrapolation

The natural interval extension (NIE) used widely in interval analysis has the first order convergence property, i.e., the excess width of the range enclosures obtained with the NIE goes down at least linearly with the domain width. Here, we show how range approximations of higher convergence orders can be obtained from the sequence of range enclosures generated with the NIE and uniform subdivis...

PENALTY METHOD FOR UNILATERAL CONTACT PROBLEM WITH COULOMB’S FRICTION FOR LOCKING MATERIAL

In this work, we study a unilateral contact problem with non local friction of Coulombbetween a locking material and a rigid foundation. In the first step , we present the mathematicalmodel for a static process, we establish the variational formulation in the form of a variationalinequality and we prove the existence and uniqueness of the solution. In the second step, usingthe penalty method we...