Publications (5)
Space-time reduced basis methods for parametrized unsteady Stokes equations
Riccardo Tenderini, Nicholas Mueller, Simone Deparis
In this work, we analyse space-time reduced basis methods for the efficient numerical simulation of hemodynamics in arteries. The classical formulation of the reduced basis (RB) me…
Model order reduction with novel discrete empirical interpolation methods in space-time
Nicholas Mueller, Santiago Badia
This work proposes novel techniques for the efficient numerical simulation of parameterized, unsteady partial differential equations. Projection-based reduced order models (ROMs) s…
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…
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…
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…