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Convex hull property and maximum principles for finite element minimizers of general convex functionals

Abstract:

The convex hull property is the natural generalization of maximum principles from scalar to vector valued functions. Maximum principles for finite element approximations are crucial for the preservation of qualitative properties of the physical model. In this work we develop a convex hull property for $P_{1}$ conforming finite elements on simplicial non-obtuse meshes. The proof does not resort to linear structures of partial differential equations but directly addresses properties of the mini...

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Lars Diening More by this author
Christian Kreuzer More by this author
Sebastian Schwarzacher More by this author
Publication date:
2012-03-05
URN:
uuid:cf3b66e0-a620-4999-b4a2-2c22d51d0454
Local pid:
oai:eprints.maths.ox.ac.uk:1501

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