Abstract: | Summary In this paper some free boundary problems related to the flow of fluids in porous media are studied. Using a method due to
Baiocchi, for these problems we not only establish theoretical results (existence and uniqueness theorems for the solution)
but at the same time develop an algorithm for the numerical approach of the solution. Such an algorithm is rigorous from a
mathematical point of view and it competes very well with the ones already known both in simplicity of programming and in
speed of execution.
Entrata in Redazione il 18 luglio 1973.
? Laboratorio di Analisi Numerica del C.N.R. di Pavia ? and ? Università di Pavia ?. This work was supported by C.N.R. in
the frame of L.A.N. at Pavia. |