Results 81 to 90 of about 97,762 (292)

A Coupled Extended Finite Element–Cohesive Zone Model for Hydraulic Fracture Propagation Under Poroelastic Effects Across Different Propagation Regimes

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Numerical simulation of hydraulic fracturing remains challenging due to the strong coupling between geomechanics and fluid flow when modelling multiple physical mechanisms of rock deformation, fracture evolution and fluid leak‐off. This study develops a coupled hydraulic fracture propagation framework that combines the extended finite element ...
Ran Tao, Juliana Y. Leung, Samer Adeeb
wiley   +1 more source

A Family of Newton and Quasi-Newton Methods for Power Flow Analysis in Bipolar Direct Current Networks with Constant Power Loads

Mathematical and Computational Applications
This paper presents a comprehensive study on the formulation and solution of the power flow problem in bipolar direct current (DC) distribution networks with unbalanced constant power loads.
Oscar Danilo Montoya, Juan Diego Pulgarín Rivera, Luis Fernando Grisales-Noreña, Walter Gil-González, Fabio Andrade-Rengifo   +4 more
doaj   +1 more source

New Results on Superlinear Convergence of Classical Quasi-Newton Methods. [PDF]

J Optim Theory Appl, 2021
Rodomanov A, Nesterov Y.
europepmc   +1 more source

Numerical Modeling of Geological Fault Reactivation Using Sequential Coupling Strategies

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT The interaction between fluid flow and mechanical deformation in fault zones can lead to processes of fault reactivation, triggering potential geomechanical problems such as seismicity, well collapse, fluid migration to shallower layers, and aggravated surface subsidence.
Julio Rueda, Cristian Mejia, Roberto Quevedo, Deane Roehl   +3 more
wiley   +1 more source

Zeroth-Order Riemannian Adaptive Regularized Proximal Quasi-Newton Optimization Method

Axioms
Recently, the adaptive regularized proximal quasi-Newton (ARPQN) method has demonstrated a strong performance in solving composite optimization problems over the Stiefel manifold.
Yinpu Ma, Cunlin Li, Zhichao Wang, Qian Li   +3 more
doaj   +1 more source

Surface structure feature matching algorithm for cardiac motion estimation

BMC Medical Informatics and Decision Making, 2017
Background Cardiac diseases represent the leading cause of sudden death worldwide. During the development of cardiac diseases, the left ventricle (LV) changes obviously in structure and function. LV motion estimation plays an important role for diagnosis
Zhengrui Zhang, Xuan Yang, Cong Tan, Wei Guo, Guoliang Chen   +4 more
doaj   +1 more source

Nordgren PINNs to VQE: Advancing Hydraulic Fracturing Simulations in Shale Reservoirs

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This study advances hydraulic fracturing simulations in shale reservoirs using two computational paradigms, Physics‐Informed Neural Networks (PINNs) and the Variational Quantum Eigensolver (VQE). PINNs were employed to solve Nordgren's equation, which governs fracture width evolution, by embedding physical laws into the neural network ...
Dennis Delali Kwesi Wayo, Sonny Irawan, Mohd Zulkifli Bin Mohamad Noor, Mudasar Zafar, Shynar Juziyeva, Camila Martins Saporetti, Leonardo Goliatt, Randy Hazlett   +7 more
wiley   +1 more source

A Geometrically Regularized Gradient‐Damage Model With Orthogonality‐Based Energy Split for Dynamic Anisotropic Compression‐Shear Fracture

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This study proposes a novel geometrically regularized gradient‐damage model for simulating dynamic mixed‐mode fracture in orthotropic materials with tension–compression asymmetry. In this model, a thermodynamic framework is formulated by incorporating damage dissipation into internal energy evolution, from which the constitutive relation and ...
Hui Li, Shanyong Wang
wiley   +1 more source

Sonified Signals From a Compact FT‐ICR Instrument: A Feasibility Study. I—Data Mapping to an Equal‐Tempered Chromatic Scale

Rapid Communications in Mass Spectrometry, EarlyView.
ABSTRACT Rationale Ions trapped within a Penning cell (ICR) travel periodic orbits whose frequencies are dependent on their mass‐to‐charge ratio and the value of the magnetic field passing through the trap. Fourier transformation (FT‐ICR) decomposes the signal induced in the detection circuit by the rotation of the ions in the cell after the ...
Patrick Arpino, Michel Heninger
wiley   +1 more source

On the high convergence orders of the Newton-GMBACK methods

Journal of Numerical Analysis and Approximation Theory, 1999
The high convergence orders of the Newton-GMBACK methods can be characterized applying three different existing results. In this note we show by some direct computations that these characterizations are equivalent.
Emil Cătinaş
doaj   +2 more sources