The authors shall discuss the numerical solution of a parabolic partial differential equation ∂u/∂t(x,t) = Lu(x,t) + f(x,t), x∈Ω, t>0, (1) supplied with a boundary condition and given initial values. The spatial finite element discretization of (1) on a discrete grid Ω{sub h} leads to an initial value problem of the form B{dot u} + Au = f, u(0) = u{sub o}, t > 0, (2) with B a non-singular matrix. The waveform relaxation method is a method for solving ordinary differential equations. It differs from most standard iterative techniques in that it is a continuous-time method, iterating with functions in time, and thereby well-suited for parallel computation.
Published through SciTech Connect. 12/31/1994. "conf-9404305--vol.2" "DE96005736" Colorado conference on iterative methods, Breckenridge, CO (United States), 5-9 Apr 1994. Janssen, J.; Vandewalle, S. Front Range Scientific Computations, Inc., Boulder, CO (United States) USDOE, Washington, DC (United States)