A noniterative solution approach for parallel pseudospectral domain decomposition

A simple superposition technique is proposed for the solution of spectral collocation equations in multi-nonoverlapping subdomains. It is based on a property of linear differential equations that allows the interface conditions to be fully decoupled; thus yielding a strategy with a very high level of concurrency suitable for parallel computations. Numerical experiments indicate, for a fixed total number of collocation points, a significant degradation of spectral accuracy as the number of subdomains increases. While the technique generally yields reasonably good solution, a compromise between accuracy and geometric flexibility must be realized.