Aerial view of Franklin Antonio Hall on UC San Diego's east campus.

Methods

Research themes in which we develop new computational methods, theories, algorithms, and frameworks for large-scale design optimization.

Graph-native modeling

Generating model evaluations and derivatives from a common graph, with efficient execution for coupled and time-dependent physics.

MDO under uncertainty

Reducing uncertainty-propagation cost through computational graph structure, response sensitivities, and dimension reduction for multidisciplinary design.

Distributed optimization

Coordinating disciplinary subproblems to manage memory, improve convergence, and satisfy shared design constraints.

Nonlinear programming

Using analysis convergence, directional curvature, and modular algorithms to improve the solution of coupled engineering design problems.

Projection-based model reduction

Adapting reduced simulation bases to changing designs while retaining the accuracy needed for structural and aerodynamic optimization.

Scientific machine learning

Combining physical models and sensitivity information with training data to predict spatial fields for engineering design.

Geometry parameterization

Connecting design variables to component geometry while preserving the dimensions and relationships that define a configuration.

Mesh deformation

Updating aircraft analysis meshes through large shape and component-placement changes while retaining derivatives for gradient-based design.

Multiphysics coupling

Connecting disciplinary solvers through shared field representations and transfer operators that preserve the required physical relationships.

In development