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

Constrained LLM interface for multi-physics finite element simulations in FEniCS

Researchers present a natural-language interface for FEniCS finite element simulations that deliberately constrains LLM involvement to front-end parsing and geometry generation, while a deterministic dispatcher routes validated specifications to human-written solver templates. The system achieves 100% final valid parse rate on a 15-prompt benchmark and 90% success on custom geometry generation. Validation against analytical solutions shows sub-percent agreement for smooth cases and 2-5% for harder nonlinear cases. The architecture is positioned as a reliability-focused alternative to open-ended LLM code generation for scientific computing.