61 citations · 341 across the 41 of their papers we have counts for
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math.NA2013★ 3 cited
Finite element approximation of the -Laplacian
D. Breit, L. Diening, S. Schwarzacher
We study a~priori estimates for the Dirichlet problem of the -Laplacian, \[-\mathrm{div}(|\nabla v|^{p(\cdot)-2} \nabla v) = f. \] We show that the gradients of the finit…
math.NA2013★ 14 cited
Convex Hull Property and Maximum Principle for Finite Element Minimisers of General Convex Functionals
Lars Diening, Christian Kreuzer, Sebastian Schwarzacher
The convex hull property is the natural generalization of maximum principles from scalar to vector valued functions. Maximum principles for finite element approximations are often…