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Paper · arXiv

A Constrained Natural-Language Interface for Variational Multi-Physics Finite Element Simulations in FEniCS

Large language models can reduce the manual effort required to set up finite element simulations, but they introduce reliability risks when generated solver code lies on the critical path. We present a constrained natural-language interface for multi-physics finite element analysis in which the LLM is limited to front-end tasks: parsing prompts into structured JSON, generating Gmsh code only for non-catalog geometries, and using retry feedback for those stages. It never writes FEniCS solver templates, derives weak forms, or writes the numerical solver core. A deterministic dispatcher maps the validated specification to five human-written FEniCS/UFL templates: linear elasticity, hyperelast...

AuthorsNilay Upadhyay, Wesley F. Reinhart
Primary categorycs.CE
Published9 June 2026
Last updated at source9 June 2026
cs.CEcs.AIcs.LGphysics.comp-ph
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