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2. Neural Mesh Flow: 3D Manifold Mesh Generation via Diffeomorphic Flows

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4. Inverse radiative transfer with goal-oriented hp-adaptive mesh refinement: adaptive-mesh inversion

   https://doi.org/10.1088/1361-6420/acf785  

   Du, Shukai ; Stechmann, Samuel N. ( September 2023 , Inverse Problems)

   The inverse problem for radiative transfer is important in many applications, such as optical tomography and remote sensing. Major challenges include large memory requirements and computational expense, which arise from high-dimensionality and the need for iterations in solving the inverse problem. Here, to alleviate these issues, we propose adaptive-mesh inversion: a goal-orientedhp-adaptive mesh refinement method for solving inverse radiative transfer problems. One novel aspect here is that the two optimizations (one for inversion, and one for mesh adaptivity) are treated simultaneously and blended together. By exploiting the connection between duality-based mesh adaptivity and adjoint-based inversion techniques, we propose a goal-oriented error estimator, which is cheap to compute, and can efficiently guide the mesh-refinement to numerically solve the inverse problem. We use discontinuous Galerkin spectral element methods to discretize the forward and the adjoint problems. Then, based on the goal-oriented error estimator, we propose anhp-adaptive algorithm to refine the meshes. Numerical experiments are presented at the end and show convergence speed-up and reduced memory occupation by the goal-oriented mesh adaptive method.

    

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5. Towards a Heterogeneous Internet-of-Things Testbed via Mesh inside a Mesh: Poster Abstract

   https://doi.org/10.1145/2994551.2996710  

   Miao, Luwen ; Liu, Kaikai ( January 2016 , SenSys '16 Proceedings of the 14th ACM Conference on Embedded Network Sensor Systems)

   Connectivity is at the heart of the future Internet-of-Things (IoT) infrastructure, which can control and communicate with remote sensors and actuators for the beacons, data collections, and forwarding nodes. Existing sensor network solutions cannot solve the bottleneck problems near the sink node; the tree-based Internet architecture has the single point of failure. To solve current deficiencies in multi-hop mesh network and cross-domain network design, we propose a mesh inside a mesh IoT network architecture. Our designed "edge router" incorporates these two mesh networks together and performs seamlessly transmission of multi-standard packets. The proposed IoT testbed interoperates with existing multi-standards (Wi-Fi, 6LoWPAN) and segments of networks, and provides both high-throughput Internet and resilient sensor coverage throughout the community. 

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