Three parallel algorithms for solving the 3D problem with nonlocal boundary condition are considered. The forward and backward Euler finite-difference schemes, and LOD scheme are t...
Partial differential equations (PDEs) are used to model physical phenomena and then appropriate convergent numerical algorithms are employed to solve them and create computer simu...
Darrin M. Hanna, Anna M. Spagnuolo, Michael DuChen...
Parallel computing is widely used for large scale threedimensional simulation of seismic wave propagation. One particularity of most of these simulations is to consider a finite c...
In this paper we construct and analyze new non-overlapping domain decomposition preconditioners for the solution of second-order elliptic and parabolic boundary value problems. The...
James H. Bramble, Joseph E. Pasciak, Apostol T. Va...
SCALLOP is a highly scalable solver and library for elliptic partial differential equations on regular block-structured domains. SCALLOP avoids high communication overheads algor...