|Title||'Les fleurs du mal': an adaptive wavelet method of arbitrary lines I: convection-diffusion problems|
|Authors||Ren, X. and Xanthis, L.|
Baudelaire's ‘les fleurs du mal’ refers to various new developments ('les fleurs') of the method of arbitrary lines (mal), since it was first published (in C. R. Acad. Sci. Paris, Sér. I, in 1991). Here we revisit the basic mal (semi-discretization) methodology for stationary convection–diffusion problems and develop an adaptive, wavelet-based solver that is capable of capturing the thin layers that arise in such problems. We show the efficacy and high accuracy of the wavelet-mal solver by applying it to a challenging 2D problem involving both boundary and interior layers.
|Journal||Comptes Rendus Mecanique|
|Journal citation||332 (1), pp. 23-29|
|Digital Object Identifier (DOI)||doi:10.1016/j.crme.2003.10.004|