利马天

這是我的中文網頁。我的中文網頁正仍在建設中。我寫這個是因為我想學習語言。

S.E.W. Visiting Assistant Professor
计算数学中心
数学系
聖地牙哥加利福尼亞大學
[網站]
Google Scholar Profile

辦公室 5880E
mlicht ATSIGN ccom DOT ucsd DOT edu

邮件地址:
Department of Mathematics
The University of California, San Diego
9500 Gilman Dr, # 0112
La Jolla, CA 92093
USA

論文和预印本

Complexes of Discrete Distributional Differential Forms and their Homology Theory, Found Comput Math (2017) 17: 1085-1122. [Arxiv] [刊物]
Smoothed Projections over Weakly Lipschitz Domains. Math. Comp. 88 (315), 179-210 [下载] [Arxiv] [刊物]
Smoothed Projections and Mixed Boundary Conditions. Math. Comp. 88 (316), 607-635 [下载] [Arxiv] [刊物]
Poincaré-Friedrichs Inequalities for Complexes of Distributional Differential Forms. 和 Snorre Christiansen 一起. Accepted for publication in BIT Numerical Mathematics. [下载] [刊物]
A divergence-conforming finite element method for the surface Stokes equation. 和 Alan Demlow 和 Andrea Bonito 一起. Submitted. [Arxiv]
Higher-Order Finite Element De Rham Complexes, Partially Localized Flux Reconstructions, and Applications. Submitted. [下载]
Geometric Transformation of Finite Element Methods. 和 Michael Holst 一起. Submitted. [下载] [Arxiv]
On Basis Constructions in Finite Element Exterior Calculus. Submitted. [下载] [Arxiv]
Newest Vertex Bisection over General Triangulations. With Michael Holst and Zhao Lyu. Submitted. [下载]
Symmetry and Invariant Bases in Finite Element Exterior Calculus. Submitted. [下载] [Arxiv]
Smoothed Projections over Compact Riemannian Manifolds. 和 Snorre Christiansen 一起. 在筹备.

教育

01/2014 - 06/2017	PhD in Mathematics, University of Oslo. Thesis: On the A Priori and A Posteriori Error Analysis in Finite Element Exterior Calculus. [下载]
10/2006 - 12/2013	Diplom (Master's degree) in Mathematics, University of Bonn. Diplom thesis: Smoothed Analysis of Linear Programming. [下载] Final grade: "sehr gut".
10/2006 - 06/2012	Diplom (Master's degree) in Mathematics, University of Bonn. Diplom thesis: Discrete distributional differential forms and their applications. Final grade: "sehr gut".
別的教育
Since 07/2019	Visitor at Isaac Newton Institute, University of Cambridge, UK
07/2018 - 08/2018	Micro-MBA, Rady School of Management, UCSD.
09/2015 - 05/2016	Visiting Research Scholar, University of Minnesota.
06/2010 - 09/2010	Visiting Scholar, Jülich Supercomputing Centre. Domain Distribution for parallel Modeling of Root Water Uptake. Proceedings 2010, JSC Guest Student Programme on Scientific Computing, 2010. [Link]

研究兴趣

Finite element exterior calculus
Structure-preserving numerical methods for partial differential equations
Partial differential equations over manifolds
Numerical linear algebra


Discrete harmonic vector fields on an anulus, computed with a lowest-order Nedéléc method. Once with tangential boundary condition (left), then with normal boundary conditions (right).