BookDOI
Numerische Mathematik 1
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The article was published on 1989-01-01. It has received 2186 citations till now.read more
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Journal ArticleDOI
Numerical verification methods for solutions of the free boundary problem
TL;DR: In this paper, the authors consider numerical techniques which enable us to verify the existence of solutions for the free boundary problems governed by two kinds of elliptic variational inequalities (EVIs), based upon the finite element approximations and the explicit a priori error estimates for some simple EVIs.
Book ChapterDOI
A Comparison of Two Dual Methods for Discrete Optimal Transport
TL;DR: Two dual methods that have been proposed independently for computing solutions of the discrete or semi-discrete instances of optimal transport are presented and compared.
Journal ArticleDOI
Adaptive Regularized Level Set Method for Weak Boundary Object Segmentation
Meng Li,Chuanjiang He,Yi Zhan +2 more
TL;DR: In this article, a weighted Dirichlet integral is presented as a geometric regularization on zero level curve, which is used to diminish the influence of image noise on level set evolution while ensuring the active contours not to pass through weak object boundaries.
Dissertation
Design and Characterization of Silicon-on-Insulator Passive Polarization Converter with Finite-Element Analysis
TL;DR: In this article, the authors developed a set of general design procedures to design a series of slanted-angle polarization converters, regardless of the material system (SOI or III-V), outer-slab layer configuration (symmetric or asymmetric), and longitudinal loading (single or multi-section).
Journal ArticleDOI
Map building method for urban gas pipelines based on landmark detection
TL;DR: In this paper, a map building method for an in-pipe robot to navigate inside urban gas pipelines autonomously, whose configuration is unknown or partially known, has been presented, where the robot can obtain its heading direction by detecting the standardized geometries of pipe elements.