Finite volume schemes on triangles coupled with multiresolution analysis

A multiresolution procedure is used to reduce the costs of flux evaluations in a finite volume scheme. A two-dimensional hyperbolic conservation law i s solved on the finest grid among a hierarchy of nested grids. The mean val ues of the solution on triangles of a given grid are estimated from the coa rser level using an original reconstruction algorithm. The size of the diff erences between the mean values and their reconstruction is a local regular ity criterium and dictates the choice of the flux computation method. Numer ical experiments with computing time comparisons are presented. (C) Academi e des Sciences/Elsevier, Paris.