Use of proper orthogonal decomposition and machine learning for efficient blood flow prediction in cerebral saccular aneurysms. [PDF]
Rajhi W +7 more
europepmc +1 more source
Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators
Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher +2 more
wiley +1 more source
Oscillatory Dynamics and Energy Transport in Twisted Magnetic Flux Tubes of the Solar Photosphere. [PDF]
Alanezy AS +4 more
europepmc +1 more source
Lorentzian homogeneous structures with indecomposable holonomy
Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
wiley +1 more source
Data-driven non-intrusive reduced order modelling of selective laser melting additive manufacturing process using proper orthogonal decomposition and convolutional autoencoder. [PDF]
Chaudhry S, Abdedou A, Soulaïmani A.
europepmc +1 more source
In order to rationalise the magnetic properties of a newly synthesised Co2III$_{2}^{III}$Co6II$_{6}^{II}$ coordination cluster it was found essential to exploit the freedom to choose the local coordinate frames for describing the high‐spin CoII centres.
Joscha Nehrkorn +5 more
wiley +1 more source
Optimization of Sparse Sensor Layouts and Data-Driven Reconstruction Methods for Steady-State and Transient Thermal Field Inverse Problems. [PDF]
Yuan Q, Yao P, Zhao W, Zhang B.
europepmc +1 more source
Physics-driven proper orthogonal decomposition: A simulation methodology for partial differential equations. [PDF]
Pulimeno A +6 more
europepmc +1 more source
Numerical Model Reduction of Multi‐Scale Electrochemical Ion Transport
ABSTRACT In this paper, we develop a Numerical Model Reduction (NMR) framework for multi‐scale modeling of electro‐chemically coupled ion transport. Upon introducing the governing equations and employing Variationally Consistent Homogenization, a two‐scale model, consisting of a macro‐scale and a sub‐scale part, is obtained.
Vinh Tu +3 more
wiley +1 more source
Exploratory application of DMD for particle deposition and fluid field in the respiratory tract. [PDF]
Graffigna MS +3 more
europepmc +1 more source

