Discretely Compact Embeddings of Spaces of Cell-Centered Grid Functions

Sílvia Barbeiro · Numerical Functional Analysis and Optimization · 2008

Compactness of embeddings in discrete counterparts of Sobolev spaces is considered. We study the embeddings in spaces of cell-centered grid functions, in one- and two-dimensional domains. No restrictions are made on the mesh-ratios of the underlying meshes.

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