Finite Element Implementation of Delta-P1 Model for Simulation of Photothermal Cancer Therapy in Heterogeneous Tissues. [PDF]
Gómez-Araque RC +3 more
europepmc +1 more source
ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
wiley +1 more source
Closing the ODE-SDE gap in score-based diffusion models through the Fokker-Planck equation. [PDF]
Deveney T +4 more
europepmc +1 more source
Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley +1 more source
Demonstration of the rotational viscosity transfer across scales in Navier-Stokes turbulence. [PDF]
Tsuzuki S.
europepmc +1 more source
Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach
ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley +1 more source
Development of freezing process of phase change materials in cylindrical thermal energy storage tanks with various fin configurations. [PDF]
Abdollahi SA +6 more
europepmc +1 more source
Sub‐5 nm double‐gate MOSFETs based on 2D SiAs monolayers are investigated using quantum transport simulations. By engineering source‐drain underlap regions, the devices achieve exceptional on‐currents of up to 1206 µA µm−1, surpassing the ITRS 2028 high‐performance targets.
Dogukan Hazar Ozbey, Engin Durgun
wiley +1 more source
On the Isoperimetric and Isodiametric Inequalities and the Minimisation of Eigenvalues of the Laplacian. [PDF]
Farrington S.
europepmc +1 more source
The haemodynamic environment of generic calcific and rheumatic aortic valves of various severities is analysed through the use of 3D FSI modelling techniques. For the same severity and similar flow rates, the rheumatic valves offer higher resistance to the flow of blood compared to the calcific valves.
Lindi Grobler Kock +5 more
wiley +1 more source

