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math.NA2026
Neural Spline Flow Diffeomorphisms for Pullback Finite Element Methods on Complex Domains
Ioannis Kalogeris, Anaksagoras Spitas, Konstantinos Atzarakis +2
We propose a method for solving partial differential equations on complex domains by learning smooth, invertible mappings from a fixed reference domain using Neural Spline Flows (N…
math.NA2022
AI-enhanced iterative solvers for accelerating the solution of large scale parametrized systems
Stefanos Nikolopoulos, Ioannis Kalogeris, Vissarion Papadopoulos +1
Recent advances in the field of machine learning open a new era in high performance computing. Applications of machine learning algorithms for the development of accurate and cost-…