A PENALTY METHOD FOR SOLVING PARTIAL DIFFERENTIAL EQUATIONS WITH PERIODIC BOUNDARY CONDITION: APPLICATION TO THE HOMOGENIZATION THEORY
Boujemaa Aoubiza, Mohamed Rachid Laydi · Mathematical Models and Methods in Applied Sciences · 1998
We present a numerical method, based on a penalization technique, for the solution of an elliptic problem with periodic boundary conditions. The convergence of the method is established and an error estimate is given. Numerical tests are performed on some problems from homogenization theory.