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⟨CEAD, P⟩ = X

CEAD (Computational Engineering Analysis and Design) Lab

Our vision: applying CEAD to engineering problems (P) to develop solutions (X). We share research software, open educational resources, and computational tutorials.

Current Team Members

CEAD Lab Website: ceadpx.github.io

Research

  • Functional materials and design: modeling and design of field-responsive soft materials.
  • Fracture, contact, and complex materials: peridynamics, particle deformation and breakage, and the mechanics of heterogeneous materials.
  • Reliable scientific machine learning: neural operators, residual-based error correction, and the integration of learned surrogates with numerical solvers.
  • Predictive computational methods: multiscale modeling, uncertainty quantification, Bayesian inference, and error estimation and control.

Across these efforts, we emphasize predictive accuracy and computational efficiency, with particular attention to estimating and controlling errors.

Education and tutorials

We develop open resources that connect physical reasoning, mathematical formulation, implementation, and verification:

Research software

  • PeriDEM — a peridynamics-based discrete element method for simulating deformable and breakable particles with contact.
  • Neural operators — implementations and experiments supporting our work on operator learning and surrogate modeling.
  • top_optim — a FEniCSx-based framework for joint material and topology optimization of stimulus-responsive soft materials, including magnetic elastomers and liquid crystal elastomers.

Explore the repositories for code, examples, and documentation. Questions, bug reports, and contributions to both research and educational resources are welcome.

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  1. neural_operators neural_operators Public

    Implementations of three neural operators and application in Bayesian inference problems

    Python 18 7

  2. top_optim top_optim Public

    Joint material-structural optimization framework for field-responsive soft materials

    Python 6 2

  3. fenics-demo fenics-demo Public

    Jupyter Notebook 4

  4. PeriDEM PeriDEM Public

    Forked from prashjha/PeriDEM

    High-fidelity modeling of granular media consisting of deformable complex-shaped particles

    C++

  5. finite-element-methods finite-element-methods Public

    FEM Course Materials

    JavaScript 6 3

Repositories

Showing 10 of 10 repositories

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