New coercive diffuse domain methods for Dirichlet conditions derived from mixed formulations and Nitsche's approach, with coercivity proofs and numerical tests showing improved accuracy on Navier-Stokes benchmarks.
Higher order finite element methods and multigrid solvers in a benchmark problem for the 3D Navier–Stokes equations , volume =
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A unified training framework for mesh-based ML surrogates in CFD improves accuracy and long-horizon stability by enforcing spatial derivative consistency via multi-node prediction, using temporal cross-attention correction, and adding 3D rotary positional embeddings.
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Diffuse Domain Methods with Dirichlet Boundary Conditions
New coercive diffuse domain methods for Dirichlet conditions derived from mixed formulations and Nitsche's approach, with coercivity proofs and numerical tests showing improved accuracy on Navier-Stokes benchmarks.
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Mesh Based Simulations with Spatial and Temporal awareness
A unified training framework for mesh-based ML surrogates in CFD improves accuracy and long-horizon stability by enforcing spatial derivative consistency via multi-node prediction, using temporal cross-attention correction, and adding 3D rotary positional embeddings.