4 papers
Opal.jl: a comprehensive, composable framework for data assimilation in Julia
Nicholas Mueller
Data assimilation (DA) and inverse modelling are indispensable tools for combining physics-based models with observations, yet the software that implements them is often fragmented…
Reduced basis solvers for unfitted methods on parameterized domains
Nicholas Mueller, Santiago Badia, Yiran Zhao
In this paper, we present a unified framework for reduced basis approximations of parametrized partial differential equations defined on parameter-dependent domains. Our approach c…
GridapROMs.jl: Efficient reduced order modelling in the Julia programming language
Nicholas Mueller, Santiago Badia
In this paper, we introduce GridapROMs, a Julia-based library for the numerical approximation of parameterized partial differential equations (PDEs) using a comprehensive suite of…
A tensor-train reduced basis solver for parameterized partial differential equations on Cartesian grids
Nicholas Mueller, Yiran Zhao, Santiago Badia +1
In this manuscript, we introduce the tensor-train reduced basis method, a novel projection-based reduced-order model designed for the efficient solution of parameterized partial di…