This paper addresses the use of space decomposition preconditioners for the numerical solution of boundary value problems. As special cases, it deals with the displacement decomposition (DiD) and overlapping domain decomposition (DD) preconditioners. A special attention is also devoted to...

Most results related to discrete nonnegativity conservation principles (DNCP) for elliptic problems are limited to finite differences and lowest-order finite element methods (FEM). In this paper we show that a straightforward extension to higher-order finite element methods (hp-FEM) in the...