6533b870fe1ef96bd12cface

RESEARCH PRODUCT

Numerical experiments with a parallel fast direct elliptic solver on Cray T3E

Tuomo RossiJari Toivanen

subject

ComputerSystemsOrganization_COMPUTERSYSTEMIMPLEMENTATIONTridiagonal matrixComputer scienceLinear systemMathematicsofComputing_NUMERICALANALYSISParallel algorithmParallel computingComputerSystemsOrganization_PROCESSORARCHITECTURESSolverMatrix (mathematics)ScalabilityPoisson's equationTime complexityCyclic reductionBlock (data storage)

description

A parallel fast direct O(N log N) solver is shortly described for linear systems with separable block tridiagonal matrices. A good parallel scalability of the proposed method is demonstrated on a Cray T3E parallel computer using MPI in communication. Also, the sequential performance is compared with the well-known BLKTRI-implementation of the generalized. cyclic reduction method using a single processor of Cray T3E.

https://doi.org/10.1007/bfb0002805