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An abstract framework for constructing stable decompositions of the spaces corresponding to general symmetric positive definite problems into “local” subspaces and a global “coarse” space is developed. Particular applications of this abstract framework include practically important problems in porous media applications such as: the scalar elliptic (pressure) equation and the stream function formulation of its mixed form, Stokes’ and Brinkman’s equations. The constant in the corresponding abstract...
An abstract framework for constructing stable decompositions of the spaces corresponding
to general symmetric positive definite problems into “local” subspaces and a global
“coarse” space is developed. Particular applications of this abstract framework include
practically important problems in porous media applications such as: the scalar elliptic
(pressure) equation and the stream function formulation of its mixed form, Stokes’ and
Brinkman’s equations....
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