JetSCI is a hybrid JAX-PETSc framework that delivers scalable differentiable finite element simulations and outperforms pure JAX implementations on heterogeneous micromechanics problems.
Imperial College London and University of Oxford and Baylor University and University of Washington, (2023)
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ALL-FEM fine-tunes LLMs on a corpus of verified FEniCS scripts and uses multi-agent workflows to automate finite element code generation, achieving 71.79% success on 39 benchmarks across elasticity, flow, and coupled problems.
Strong enforcement of symmetry in H(div)-conforming finite elements yields material-robust stress approximations independent of the constitutive law, whereas weak enforcement produces arbitrarily poor results even in zero-stress cases with anisotropic laws.
A finite element method with divergence reconstruction for generalized Navier-Stokes equations valid for p > 2d/(d+2), with a priori error estimates for velocity and pressure.
citing papers explorer
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JetSCI: A Hybrid JAX-PETSc Framework for Scalable Differentiable Simulation
JetSCI is a hybrid JAX-PETSc framework that delivers scalable differentiable finite element simulations and outperforms pure JAX implementations on heterogeneous micromechanics problems.
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ALL-FEM: Agentic Large Language models Fine-tuned for Finite Element Methods
ALL-FEM fine-tunes LLMs on a corpus of verified FEniCS scripts and uses multi-agent workflows to automate finite element code generation, achieving 71.79% success on 39 benchmarks across elasticity, flow, and coupled problems.
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Achieving Material Robustness via Symmetric Stress Finite Element Discretizations
Strong enforcement of symmetry in H(div)-conforming finite elements yields material-robust stress approximations independent of the constitutive law, whereas weak enforcement produces arbitrarily poor results even in zero-stress cases with anisotropic laws.
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Finite element discretization of the steady, generalized Navier-Stokes equations for small shear stress exponents
A finite element method with divergence reconstruction for generalized Navier-Stokes equations valid for p > 2d/(d+2), with a priori error estimates for velocity and pressure.