Existence and uniqueness of the energy minimizer are proven for a nonlocal coupled system with fractional Laplacians, along with regularity estimates, a priori FEM error bounds, and geometric convergence of an alternating Schwarz method.
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A nonlocal coupled system: analysis and discretization
Existence and uniqueness of the energy minimizer are proven for a nonlocal coupled system with fractional Laplacians, along with regularity estimates, a priori FEM error bounds, and geometric convergence of an alternating Schwarz method.