Additive Schwarz Methods without Subdomain Overlap and with New ...
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Cai, Casarin, Elliott & Widlund 3 introduced Schwarz-style overlapping, used rst-order transmission conditions on the overlapped interfaces, calling attention.
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subdomains N and the spectral degree p in case of generous overlap; otherwise it depends inversely on the overlap size. The proposed preconditioners are ...
For vertices V not on the Neumann boundary, this definition coincides to Vp ∩. H1. 0 (ωV ). The additive Schwarz preconditioning operator is C−1 : V ∗ p → Vp ...
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The methods use no explicit overlap of the subdomains, subdomain interaction is via the ... that is, one is free to use arbitrary, irregular subdomains. The second ...
