Results 41 to 50 of about 2,673 (90)
Variational formulation and monolithic solution of computational homogenization methods
International Journal for Numerical Methods in Engineering, Volume 125, Issue 20, 30 October 2024.Abstract In this contribution, we derive a consistent variational formulation for computational homogenization methods and show that traditional FE 2$$ {}^2 $$ and IGA 2$$ {}^2 $$ approaches are special discretization and solution techniques of this most general framework.
Christian Hesch +2 more
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 125, Issue 18, 30 September 2024.Abstract The solution approximation for partial differential equations (PDEs) can be substantially improved using smooth basis functions. The recently introduced mollified basis functions are constructed through mollification, or convolution, of cell‐wise defined piecewise polynomials with a smooth mollifier of certain characteristics.
Dewangga Alfarisy +4 more
wiley +1 more source
An extended isogeometric collocation method for fracture analysis
International Journal for Numerical Methods in Engineering, Volume 125, Issue 16, 30 August 2024.Abstract A collocation method is developed for discrete fracture models in the context of the partition‐of‐unity method. Spline technologies used in isogeometric analysis (IGA) are exploited to provide a smooth inter‐element transition of gradients, thus allowing to get rid of extra flux terms at element boundaries which are generated by Lagrange ...
Farshid Fathi +2 more
wiley +1 more source
DIMOND: DIffusion Model OptimizatioN with Deep Learning
Advanced Science, Volume 11, Issue 24, June 26, 2024.This study proposes a self‐supervised and physics‐informed deep learning framework entitled DIMOND to accelerate and improve the diffusion MRI microstructural model fitting. This work systematically and quantitatively evaluates DIMOND on DTI, DKI and NODDI.
Zihan Li +7 more
wiley +1 more source
Fortschritte der Physik, Volume 72, Issue 5, May 2024.Abstract The diffeomorphism class of simply connected smooth Calabi‐Yau threefolds with torsion‐free cohomology is determined via certain basic topological invariants: the Hodge numbers, the triple intersection form, and the second Chern class.
Aditi Chandra +4 more
wiley +1 more source
One level density of low-lying zeros of quadratic and quartic Hecke $L$-functions
, 2019 In this paper, we prove some one level density results for the low-lying zeros of famliies of quadratic and quartic Hecke $L$-functions of the Gaussian field.
Gao, Peng, Zhao, Liangyi
core
On the efficient evaluation of the azimuthal Fourier components of the Green's function for Helmholtz's equation in cylindrical coordinates. [PDF]
J Comput Phys, 2022 Garritano J +3 more
europepmc +1 more source
On the Mordell-Weil lattice of y 2 = x 3 + b x + t 3 n + 1 in characteristic 3. [PDF]
Res Number Theory, 2022 Leterrier G.
europepmc +1 more source
Simultaneous Momentum and Position Measurement and the Instrumental Weyl-Heisenberg Group. [PDF]
Entropy (Basel), 2023 Jackson CS, Caves CM.
europepmc +1 more source
The Classification of Branched Willmore Spheres in the $3$-Sphere and the $4$-Sphere
, 2019 We extend the classification of Robert Bryant of Willmore spheres in $S^3$ to variational branched Willmore spheres $S^3$ and show that they are inverse stereographic projections of complete minimal surfaces with finite total curvature in $\mathbb{R}^3 ...
Michelat, Alexis, Rivière, Tristan
core