Multiresolution schemes on triangles for scalar conservation laws

This paper proposes a multiresolution procedure adapted to triangular cell- averages to improve the performance of finite volume schemes by reducing Au x evaluation cost, using the approach introduced by A. Harten. A specific c oarse-to-fine prediction scheme is proposed that ensures the stability of t he computations, even when a large number of scales are involved. Numerical tests are presented that illustrate the computational gain as well as the order of accuracy of the scheme. (C) 2000 Academic Press.