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Abstract additive Schwarz method
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the abstract additive Schwarz method, named after <a href="/facts/Hermann_Schwarz/lP1VRdjH">Hermann Schwarz</a>, is an abstract version of the <a href="/facts/Additive_Schwarz_method/glUr2Hcg">additive Schwarz method</a> for <a href="/facts/Boundary_value_problem/QEfmUqmP">boundary value problems</a> on <a href="/facts/Partial_differential_equation/DyPsBlv7">partial differential equations</a>, formulated only in terms of <a href="/facts/Linear_algebra/8VaB4VWk">linear algebra</a> without reference to domains, subdomains, etc. Many if not all <a href="/facts/Domain_decomposition_methods/rwrQPcf2">domain decomposition methods</a> can be cast as abstract additive Schwarz method, which is often the first and most convenient approach to their analysis. </p>