Domain Decomposition Algorithms for Indefinite Elliptic Problems
Domain Decomposition Algorithms for Indefinite Elliptic Problems
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While originally derived differently, it has been demonstrated by Dryja and Widlund [8] that these methods can be viewed as additive Schwarz methods. We adopt this point of view.
In defining the partition of the finite element space into subspaces, we use the same coarse space V^ introduced in Section 4. We also use subspaces corre- sponding to the subregions f2, j = n. UrijU^j- These subregions play the same role as the Vl[ in Section 4. Here f], and Vlj are adjacent substructures with the com...mon edge ?, _, . The local subspaces are thus V.^ = Hl{?lij) fl V^.
Compared with the case considered previously, we use less overlap in the sense that only the elements of V^ can differ from zero at the vertices of the substructures. This is reflected in a poorer bound for the constant of Lemma 1, Cl
What to read after Domain Decomposition Algorithms for Indefinite Elliptic Problems?
You can find similar books in the "Read Also" column, or choose other free books by Xiao Chuan Cai to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
While originally derived differently, it has been demonstrated by Dryja and Widlund [8] that these methods can be viewed as additive Schwarz methods. We adopt this point of view.
In defining the partition of the finite element space into subspaces, we use the same coarse space V^ introduced in Section 4. We also use subspaces corre- sponding to the subregions f2, j = n. UrijU^j- These subregions play the same role as the Vl[ in Section 4. Here f], and Vlj are adjacent substructures with the com...mon edge ?, _, . The local subspaces are thus V.^ = Hl{?lij) fl V^.
Compared with the case considered previously, we use less overlap in the sense that only the elements of V^ can differ from zero at the vertices of the substructures. This is reflected in a poorer bound for the constant of Lemma 1, Cl
What to read after Domain Decomposition Algorithms for Indefinite Elliptic Problems?
You can find similar books in the "Read Also" column, or choose other free books by Xiao Chuan Cai to read onlineMoreLess
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