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Showing 1 to 3 of 3 for “"Advection-Diffusion PDE"”.

  1. On the Potential Impact of Curved Meshing for Higher-order Adaptive Mesh Simulations

    … the solution to partial differential equations (PDEs). In this thesis, we consider the potential advantages of incorporating higher-order element shapes, i.e. curved meshes, into an adaptive process through the use of a mesh-based, geometric mapping. While previous work has considered the …

    mit Repository record for On the Potential Impact of Curved Meshing for Higher-order Adaptive Mesh Simulations (opens in a new tab)

  2. Multilevel-in-Time Methods for Optimal Control of PDEs and Training of Recurrent Neural Networks

    … linear-quadratic Partial Differential Equation (PDE)-constrained optimization problems and Recurrent Neural Network (RNN) training problems. While these two problem classes seem different, they share a time-like structure. The proposed methods exploit decompositions in time of the optimization …

    rice Repository record for Multilevel-in-Time Methods for Optimal Control of PDEs and Training of Recurrent Neural Networks (opens in a new tab)

  3. MODEL-BASED LEARNING AND CONTROL OF ADVECTION-DIFFUSION TRANSPORT USING MOBILE ROBOTS

    … particularly Partial Differential Equations (PDEs), has been hindered for many years due to the lack of adequate computational resources onboard mobile robots. One such problem of interest for the roboticists, that can hugely benefit from more descriptive models, is Chemical Plume Tracing …

    duke Repository record for MODEL-BASED LEARNING AND CONTROL OF ADVECTION-DIFFUSION TRANSPORT USING MOBILE ROBOTS (opens in a new tab)