Fully parallel methods for a class of linear partial differential-algebraic equations

Abstract

This note deals with two fully parallel methods for solving linear partial differential- algebraic equations (PDAEs) of the form: Aut + B u = f(x, t) (1) where A is a singular, symmetric and nonnegative matrix, while B is a symmetric positive define matrix. The stability and convergence of proposed methods are discussed. Some numerical experiments on high-performance computers are also reported.