Compact embeddings of broken Sobolev spaces and applications
By Annalisa Buffa, Christoph Ortner. 2009
145 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/c2396e8fe9fb1ac57e56ee84c14e7379f799fa2e
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In Computational Mechanics
In Computational Theory and Mathematics
In Mechanics of Materials
Citations in the corpus
- DISCONTINUOUS GALERKIN METHODS FOR THE MULTI-DIMENSIONAL VLASOV–POISSON PROBLEM (2012, unknown): “Using the fact that Ωx is convex and both g̃z and g̃z,h are functions with zero average over Ωx, triangle inequality together with the L1-Poincaré-Friederichs inequality for W (Ωx) functions [1] and the L1Poincaré-Friederichs inequality for DG functions [17], we have ‖g̃z − g̃z,h‖L1(Ωx) ≤ ‖g̃z‖L1(Ωx”
- Morley Finite Element Method for the Eigenvalues of the Biharmonic Operator (2014, background): “The space V ℓ is a subspace of the finite product H 2 ( T ℓ ) := T ∈ T ℓ H 2 (int( T )) and the embedding b Q ) is compact for a fixed triangulation T ℓ (for more details on such broken Sobolev spaces see [9]).”