WWRC 90-24
Parallel Computing for Solute Transport Models via Alternating Direction Collocation
Abstract
We examine algorithmic aspects of M. Celia's alternating-direction scheme for finite-element
collocation, especially as implemented for the two-dimensional advection-diffusion equation
governing solute transport in groundwater. Collocation offers savings over other finite-element
techniques by obviating the numerical quadrature and global matrix assembly procedures
ordinarily needed in Galerkin formulations. The alternating-direction approach offers further
saving in storage and serial runtime and, significantly, yields highly parallel algorithms
involving the solution of problems having only one-dimensional structure. We explore this
parallelism.
Key Words: Alternating-direction methods, collocation, parallel computing.
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