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Adaptive Local Proper Orthogonal Decomposition via Graph Partitioning and Provable Error-Bounded Lossy Compression for Parametric Series in Finite-Dimensional Function Spaces
Roberto Nuca, Matteo Parsani, Lisandro Dalcin
We introduce a spatially adaptive proper orthogonal decomposition (POD) method for error-bounded lossy compression of snapshot data in finite-dimensional function spaces. The metho…
Entropy-stable moving-wall boundary conditions for the ALE formulation of the compressible Navier-Stokes equations
Luca Galimberti, Roberto Nuca, Lisandro Dalcin +2
We present a high-order entropy-stable framework for the compressible Euler and Navier-Stokes equations on moving domains. The space-time mapping describing the domain motion is re…
ADEx-FNO: A Unified Ambient-Domain Framework for Fourier Neural Operators on Varying Geometries
Roberto Nuca, Giovanni Testa, Luca Galimberti +1
Fourier neural operators (FNOs) provide efficient nonlocal spectral learning, but varying geometries and independently chosen discretizations remain difficult to accommodate. We in…
Splitting Schemes for Coupled Differential Equations: Block Schur-Based Approaches and Partial Jacobi Approximation
Roberto Nuca, Erlend Storvik, Florin A. Radu +1
Coupled multi-physics problems are encountered in countless applications and pose significant numerical challenges. Although monolithic approaches offer possibly the best solution…