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In mathematics, [[numerical analysis]] and numerical [[partial differential equation]]s, '''___domain decomposition methods''' solve a [[boundary value problem]] by splitting it into smaller boundary value problems and iterating to coordinate the solution between the subdomains. The solution of the problems on the subdomains are independent, which makes ___domain decomposition methods suitable for [[parallel computing]]. Domain decomposition methods are typically used as [[preconditioner]]s for [[Krylov space]] [[iterative method]]s, such as the [[conjugate gradient method]] or [[GMRES]].
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