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07/03/2023
Space-time finite element analysis of the advection-diffusion equation using Galerkin/least-square stabilization
We present a full space-time numerical solution of the advection-diffusi...
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11/07/2022
Neural PDE Solvers for Irregular Domains
Neural network-based approaches for solving partial differential equatio...
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10/04/2021
NeuFENet: Neural Finite Element Solutions with Theoretical Bounds for Parametric PDEs
We consider a mesh-based approach for training a neural network to produ...
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10/04/2021
Differentiable Spline Approximations
The paradigm of differentiable programming has significantly enhanced th...
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04/29/2021
Distributed Multigrid Neural Solvers on Megavoxel Domains
We consider the distributed training of large-scale neural networks that...
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08/28/2020
Industrial scale large eddy simulations (LES) with adaptive octree meshes using immersogeometric analysis
We present a variant of the immersed boundary method integrated with oct...
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07/24/2020