3 papers
math.NA2024
An adaptive hierarchical ensemble Kalman filter with reduced basis models
Francesco A. B. Silva, Cecilia Pagliantini, Karen Veroy
The use of model order reduction techniques in combination with ensemble-based methods for estimating the state of systems described by nonlinear partial differential equations has…
math.NA2024
Polytope Division Method: A Scalable Sampling Method for Problems with High-dimensional Parameters
Evie Nielen, Oliver Tse, Karen Veroy
Configuration Optimization Problems (COPs), which involve minimizing a loss function over a set of discrete points , are common in areas like Model Order R…
cs.CE2024
Reduced-order modeling for second-order computational homogenization with applications to geometrically parameterized elastomeric metamaterials
T. Guo, V. G. Kouznetsova, M. G. D. Geers +2
The structural properties of mechanical metamaterials are typically studied with two-scale methods based on computational homogenization. Because such materials have a complex micr…