Achievements

A selection of work with practical computational impact

GridapROMs architecture

Software platform

A full reduced-order modelling library in Julia

Designed and implemented GridapROMs.jl to make advanced reduced-order methods accessible within a performance-oriented but readable framework.

Performance benchmarks

Performance engineering

Lowering the cost of high-fidelity data generation

Used lazy evaluation and distributed workflows to reduce one of the main practical bottlenecks in reduced-order modelling: building training data at scale.

Unfitted Stokes results

Geometric flexibility

Reduced basis methods on parameterized domains

Built a framework combining unfitted finite elements and reference-domain mappings so geometric variation can be handled without repeated remeshing.

Tensor train results

Compression strategy

Tensor-train integration for faster reduced solvers

Developed tensor-based workflows that reduce both runtime and memory cost for constructing reduced spaces and hyper-reduced operators.

Space-time reduced models

Transient problems

Space-time reduced-order methods for unsteady systems

Contributed methods that improve efficiency for unsteady PDE problems without sacrificing the fidelity needed for engineering interpretation.

Topology optimization result

Industrial R&D

Topology optimization for aerospace mechanisms

Developed a Matlab code for compliant mechanisms aimed at satellite applications, with constraints driven by actual mechanical testing requirements.