3 papers
math.NA2025
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…
math.NA2025
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…
math.NA2025
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…