Martin W. Licht
S.E.W. Visiting Assistant Professor
Center for Computational Mathematics Department of Mathematics Universitet i California, San Diego [Personlige Hjemmeside] Office 5880E mlicht ATSIGN ucsd DOT edu Postaddressen: Department of Mathematics The Universitet i California, San Diego 9500 Gilman Dr, # 0112 La Jolla, CA 92093 USA Jeg besøker for tiden: Isaac Newton Institute for Mathematical Sciences Universitet i Cambridge United Kingdom |
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Publikasjoner og Førtrykker
- Complexes of Discrete Distributional Differential Forms and their Homology Theory, Found Comput Math (2017) 17: 1085-1122. [Arxiv] [Tidsskrift]
- Smoothed Projections over Weakly Lipschitz Domains. Math. Comp. 88 (315), 179-210 [Last ned] [Arxiv] [Tidsskrift]
- Smoothed Projections and Mixed Boundary Conditions. Math. Comp. 88 (316), 607-635 [Last ned] [Arxiv] [Tidsskrift]
- Poincaré-Friedrichs Inequalities for Complexes of Distributional Differential Forms. Med Snorre Christiansen. Akseptert for publisering i BIT Numerical Mathematics. [Last ned]
- A divergence-conforming finite element method for the surface Stokes equation. Med Andrea Bonito og Alan Demlow. Sendt inn. [Arxiv]
- Higher-Order Finite Element De Rham Complexes, Partially Localized Flux Reconstructions, and Applications. Sendt inn. [Last ned]
- Geometric Transformation of Finite Element Methods. Med Michael Holst. Sendt inn. [Last ned] [Arxiv]
- On Basis Constructions in Finite Element Exterior Calculus. Sendt inn. [Last ned] [Arxiv]
- Newest Vertex Bisection over General Triangulations. Med Michael Holst og Zhao Lyu. Sendt inn. [Last ned]
- Smoothed Projections over Compact Riemannian Manifolds. Med Snorre Christiansen. Under forberedelse.
Utdanning
01/2014 - 06/2017 |
Doktorgrad i matematikk, Universitet i Oslo. Thesis: On the A Priori and A Posteriori Error Analysis in Finite Element Exterior Calculus. [Last ned] |
10/2006 - 12/2013 |
Diplom (mastergrad) i matematikk, Universitet i Bonn. Diplom thesis: Smoothed Analysis of Linear Programming. [Last ned] Final grade: "sehr gut". |
10/2006 - 06/2012 |
Diplom (mastergrad) i matematikk, Universitet i Bonn. Diplom thesis: Discrete distributional differential forms and their applications. Final grade: "sehr gut". |
Videre Utdanning. |
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Siden 07/2019 | Besøkende på Isaac Newton Institute, Universitet i Cambridge, UK |
07/2018 - 08/2018 | Micro-MBA, Rady School of Management, UCSD. |
09/2015 - 05/2016 | Besøkende Research Lærd, Universitet i Minnesota. |
06/2010 - 09/2010 |
Besøkende Lærd, Jülich Supercomputing Centre. Domain Distribution for parallel Modeling of Root Water Uptake. Proceedings 2010, JSC Guest Student Programme on Scientific Computing, 2010. [Link] |
Forskingsinteresser
- Finite element exterior calculus
- Strukturbevarende numerisk metoder for partielle differensialligninger
- Partielle differensialligninger på mangfoldigheter
- Numerisk lineær algebra
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En diskret harmonisk vektorfelt på en annulus, beregnet med Nedéléc metode av laveste orden. Først med tangensielle randbetingelsene (til venstre), da med normale randbetingelsene (til høyre). |
Kode
Undervisning
- Introduction to Numerical Analysis: Ordinary Differential Equations — Math 170C, Spring Quarter 2020
- Math 18, Spring Quarter 2020
- Introduction to Numerical Analysis: Approximation and Nonlinear Equations — Math 170B, Winter Quarter 2020
- Math 18, Winter Quarter 2020
- Mathematical Reasoning — Math 109, Spring Quarter 2019
- Introduction to Numerical Analysis: Linear Algebra — Math 170A, Winter Quarter 2019
- Introduction to Numerical Analysis: Approximation and Nonlinear Equations — Math 170B, Winter Quarter 2019
- Numerical Linear Algebra — Math 270A, Fall Quarter 2018
- Calculus III — Math 10C, Spring Quarter 2018
- Mathematical Reasoning — Math 109, Winter Quarter 2018
- Applied Linear Algebra — Math 102, Fall Quarter 2017