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

arXiv:2606.10928v1 Announce Type: cross Abstract: 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
The proliferation of large language models necessitates robust methods for integrating them into critical engineering workflows while mitigating reliability risks inherent in autonomous code generation.
This development offers a pragmatic framework for leveraging LLM capabilities in complex simulations, enhancing efficiency without sacrificing the integrity of scientific and engineering outputs.
Engineering and scientific communities can now adopt more reliable, LLM-assisted workflows for finite element simulations, delineating LLM roles to front-end and non-critical tasks.
- · Simulation engineers
- · Computational physicists
- · Software developers for engineering tools
- · FEA software providers
- · LLMs without guardrails for critical code generation
- · Manual script development for repetitive simulation tasks
Reduced setup time and error rates for complex multi-physics simulations.
Increased adoption of LLM-aided design and analysis tools in critical engineering domains.
The acceleration of material science, aerospace, and energy research through more efficient simulation capabilities.
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Read at arXiv cs.LG