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06/05/2023
Adaptive Mesh Refinement for arbitrary initial Triangulations
We introduce a simple initialization of the Maubach bisection routine fo...
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05/09/2023
Grading of Triangulations Generated by Bisection
For triangulations generated by the adaptive bisection algorithm by Maub...
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05/05/2023
Pointwise gradient estimate of the ritz projection
Let Ω⊂ℝ^n be a convex polytope (n ≤ 3). The Ritz projection is the best ...
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10/12/2022
Relaxed Kacanov scheme for the p-Laplacian with large p
We introduce a globally convergent relaxed Kacanov scheme for the comput...
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04/19/2022
An averaged space-time discretization of the stochastic p-Laplace system
We study the stochastic p-Laplace system in a bounded domain. We propose...
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12/15/2021
Interpolation Operator on negative Sobolev Spaces
We introduce a Scott–Zhang type projection operator mapping to Lagrange ...
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04/28/2021
Fortin Operator for the Taylor-Hood Element
We design a Fortin operator for the lowest-order Taylor-Hood element in ...
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12/24/2020
A Space-Time DPG Method for the Heat Equation
This paper introduces an ultra-weak space-time DPG method for the heat e...
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08/04/2020
On the Sobolev and L^p-Stability of the L^2-projection
We show stability of the L^2-projection onto Lagrange finite element spa...
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04/21/2020
The parabolic p-Laplacian with fractional differentiability
We study the parabolic p-Laplacian system in a bounded domain. We deduce...
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04/20/2020
Uniform Hölder-norm bounds for finite element approximations of second-order elliptic equations
We develop a discrete counterpart of the De Giorgi-Nash-Moser theory, wh...
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03/24/2020