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Conservative data-driven finite element framework with adaptive hp-refinement for diffusion problems with material uncertainty
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DOI：10.1016/j.cma.2025.118703.png)
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Abstract
En 中文
• A conservative data-driven finite element framework is proposed. • Continuity of fluxes is enforced, allowing temperature discontinuity. • A tailored error estimator for the data-driven approach is introduced. • Adaptive hp-refinement is tested on an industrial application. • MCMC simulations quantify the non-uniqueness of results.
Keywords:
Data-driven mechanics
Diffusion problem
Finite element method
Mixed formulation
Adaptive refinement
Uncertainty quantification
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