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07/11/2023
Solving Minimal Residual Methods in W^-1,p with large Exponents p
We introduce a numerical scheme that approximates solutions to linear PD...
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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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01/25/2023
Minimal residual methods in negative or fractional Sobolev norms
For numerical approximation the reformulation of a PDE as a residual min...
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12/08/2022
Interpolation Operators for parabolic Problems
We introduce interpolation operators with approximation and stability pr...
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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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12/15/2021
Interpolation Operator on negative Sobolev Spaces
We introduce a Scott–Zhang type projection operator mapping to Lagrange ...
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06/12/2021
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap
We investigate the convergence of the Crouzeix-Raviart finite element me...
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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