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Nonlocal models allow for the description of phenomena which cannot becaptured by classical partial differential equations. The availability ofefficient solvers is one of the main concerns for the use of nonlocal models inreal world engineering applications. We present a domain decomposition solverthat is inspired by substructuring methods for classical local equations. Innumerical experiments involving finite element discretizations of scalar andvectorial nonlocal equations of integrable and fractional type, we observeimprovements in solution time of up to 14.6x compared to commonly used solverstrategies.

A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type