A convergent adaptive finite element method with optimal complexity

preprin

S3E: A Large-scale Multimodal Dataset for Collaborative SLAM

With the advanced request to employ a team of robots to perform a task collaboratively, the research community has become increasingly interested in collaborative simultaneous localization and mapping. Unfortunately, existing datasets are limited in the scale and variation of the collaborative trajectories, even though generalization between inter-trajectories among different agents is crucial to the overall viability of collaborative tasks. To help align the research community's contributions with realistic multiagent ordinated SLAM problems, we propose S3E, a large-scale multimodal dataset captured by a fleet of unmanned ground vehicles along four designed collaborative trajectory paradigms. S3E consists of 7 outdoor and 5 indoor sequences that each exceed 200 seconds, consisting of well temporal synchronized and spatial calibrated high-frequency IMU, high-quality stereo camera, and 360 degree LiDAR data. Crucially, our effort exceeds previous attempts regarding dataset size, scene variability, and complexity. It has 4x as much average recording time as the pioneering EuRoC dataset. We also provide careful dataset analysis as well as baselines for collaborative SLAM and single counterparts. Data and more up-to-date details are found at https://github.com/PengYu-Team/S3E

Convergence of a standard adaptive nonconforming finite element method with optimal complexity

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Error estimates of Morley triangular element satisfying the maximal angle condition

International audienceIn this paper, we establish the convergence of a nonconforming triangular Morley element for the plate bending problem on degenerate meshes. An explicit bound for the interpolation error is derived for arbitrary triangular meshes without any assumptions. The optimal convergence rates of the moment error and rotation error are derived for triangular meshes satisfying the maximal angle condition. Our results can also be extended to the three dimensional Morley element presented recently in [41]. Finally, some numerical results are reported that confirm our theoretical results

Error estimates of Morley triangular element satisfying the maximal angle condition

International audienceIn this paper, we establish the convergence of a nonconforming triangular Morley element for the plate bending problem on degenerate meshes. An explicit bound for the interpolation error is derived for arbitrary triangular meshes without any assumptions. The optimal convergence rates of the moment error and rotation error are derived for triangular meshes satisfying the maximal angle condition. Our results can also be extended to the three dimensional Morley element presented recently in [41]. Finally, some numerical results are reported that confirm our theoretical results

Adaptive Finite Element Methods on Quadrilateral Meshes without Hanging Nodes

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Premature Ventricular Contractions (PVCs) Induced by Administration of Cilostazol after Myocardial Infarction

Cilostazol is a phosphodiesterase III inhibitor, which was approved by FDA (food and drug administration) for intermittent claudication in 1999. What made it known to cardiologists is the Cilostazol for Restenosis Trial (CREST), in which cilostazol was shown to significantly lower binary restenosis rate. Here we reported one case of acquired premature ventricular contractions (PVCs) during taking cilostazol. A 68-year-old male patient was diagnosed acute myocardial infarction and given percutaneous coronary intervention (PCI). It turned out there was thrombi in the distal right coronary artery. The patient was discharged taking cilostazol (100mg Bid) together with aspirin and clopidogrel. On follow-up, there were PVCs coming up (more than 27000 beats in 24-hour electrocardiography) and cilostazol was discontinued afterwards. After taking metoprolol (25 mg, Tid) for one week, the PVCs were decreased significantly, 600 beats/24 hours. In our case, the PVCs are obviously related to cilostazol and probably the safety of cilostazol in patients having a history of myocardial infarction or malignant arrhythmias should be reevaluated

Enhancing Multimedia Streaming Performance Through Peer-Paired Collaboration

In this paper, a novel multimedia streaming framework called peer-paired pyramid streaming (P S) is proposed. The philosophy of P S is to enable collaboration between clients so as to bring in better performance. The structure of P S is basically a hybrid client/server and peer-to-peer structure and exhibits a triangle-cell based hierarchy. Based on P S, performance enhancement techniques are designed to increase the aggregated bandwidth of all participants. We present an optimal data allocation algorithm, which maximizes the overall throughput of the whole streaming session. We also present a greedy data allocation algorithm that is slightly suboptimal but much simpler. Extensive simulations were performed to demonstrate the effectiveness of proposed techniques