Le Borne, SabineSabineLe Borne2021-10-252021-10-252003-06Computing 70 (3): 261-274 (2003-01-01)http://hdl.handle.net/11420/10605Hierarchical matrices provide a technique for the sparse approximation and matrix arithmetic of large, fully populated matrices. This technique has been proven to be applicable to matrices arising in the boundary and finite element method for uniformly elliptic operators with L∞-coefficients. This paper analyses the application of hierarchical matrices to the convection-dominant convection-diffusion equation with constant convection. In the case of increasing convection, the convergence of a standard H-matrix approximant towards the original matrix will deteriorate. We derive a modified partitioning and admissibility condition that ensures good convergence also for the singularly perturbed case.en0010-485X20033261274Data-sparse approximationDominant convectionHierarchical matricesMathematikJournal Article10.1007/s00607-003-1474-4Other