Publications and Preprints
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Complexes of Discrete Distributional Differential Forms and their Homology Theory,
Found Comput Math (2017) 17: 1085-1122.
[Arxiv]
[journal]
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Smoothed Projections over Weakly Lipschitz Domains.
Math. Comp. 88 (315), 179-210
[Download]
[Arxiv]
[journal]
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Smoothed Projections and Mixed Boundary Conditions.
Math. Comp. 88 (316), 607-635
[Download]
[Arxiv]
[journal]
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Higher-Order Finite Element De Rham Complexes, Partially Localized Flux Reconstructions, and Applications.
Submitted.
[Download]
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Poincaré-Friedrichs Inequalities
for Complexes of Distributional Differential Forms.
With Snorre Christiansen. Submitted.
[Download]
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Geometric Transformation of Finite Element Methods.
With Michael Holst. Submitted.
[Download]
[Arxiv]
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On Basis Constructions in Finite Element Exterior Calculus.
Submitted.
[Download]
[Arxiv]
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Smoothed Projections over Compact Riemannian Manifolds.
With Snorre Christiansen. In Preparation.
Theses and Reports
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On the A Priori and A Posteriori Error Analysis
in Finite Element Exterior Calculus.
PhD thesis in mathematics, Oslo, 2017.
[Download]
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Smoothed Analysis of Linear Programming.
Diplom thesis in computer science, Bonn, 2013.
[Download]
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Diskrete distributionelle Differentialformen und ihre Anwendungen.
Diplom thesis in mathematics, Bonn, 2012.
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Domain Distribution for parallel Modeling of Root Water Uptake.
Proceedings 2010, JSC Guest Student Programme on Scientific Computing, 2010.
[Link]