Results 51 to 60 of about 4,672 (202)

A Parallelized 3D Geomechanical Solver for Fluid‐Induced Fault Slip in Poroelastic Media

open access: yesInternational Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 5, Page 2570-2586, 10 April 2026.
ABSTRACT We present a fully implicit formulation of coupled fluid flow and geomechanics for fluid injection/withdrawal in fractured reservoirs in the context of CO2$\textrm {CO}_2$ storage. Utilizing a Galerkin finite‐element approach, both flow and poroelasticity equations are discretized on a shared three‐dimensional mesh.
Emil Rinatovich Gallyamov   +4 more
wiley   +1 more source

A Compact Difference-Galerkin Spectral Method of the Fourth-Order Equation with a Time-Fractional Derivative

open access: yesFractal and Fractional
In this article, we proposed a compact difference-Galerkin spectral method for the fourth-order equation in multi-dimensional space with the time-fractional derivative order α∈(1,2).
Yujie Wang, Shichao Yi
doaj   +1 more source

Large Deformation Pile‐soil Interaction Under Lateral Vehicle Impact Using Hybrid SPH+FEM and EFG+FEM Models

open access: yesInternational Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 5, Page 2648-2669, 10 April 2026.
ABSTRACT This study presents large deformation computational methods to simulate lateral vehicular impacts on steel piles in granular soil. Soil‐mounted longitudinal barrier systems rely on energy dissipation in both the piles and the surrounding soil to safely redirect errant vehicles, so dynamic pile‐soil interaction is important for design ...
Tewodros Y. Yosef   +6 more
wiley   +1 more source

Monitoring of water volume in a porous reservoir using seismic data: Validation of a numerical model with a field experiment

open access: yesNear Surface Geophysics, Volume 24, Issue 2, Page 110-127, April 2026.
Abstract As global groundwater levels continue to decline rapidly, there is a growing need for advanced techniques to monitor and manage aquifers effectively. This study focuses on validating a numerical model using seismic data from a small‐scale experimental setup designed to estimate water volume in a porous reservoir.
Mahnaz Khalili   +8 more
wiley   +1 more source

On the convergence of Galerkin method for solving hypersingular integral equations in special classes of functions

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. The numerical method for solving hypersingular integral equations on a segment that arise in many problems of mathematical physics is considered. Materials and methods.
Yu.G. Smirnov
doaj   +1 more source

Uncertainty Quantification in Planning Aircraft Ground Movement Operations With Towbarless Robotic Tractors

open access: yesInternational Journal of Robust and Nonlinear Control, Volume 36, Issue 5, Page 2542-2556, 25 March 2026.
ABSTRACT This article addresses the problem of quantifying the uncertainty in planning aircraft ground movement operations using towbarless robotic tractors taking into account the inherent uncertainties of the problem, specifically, the uncertainties in the weight of the aircraft and in the rolling resistance of the wheels of the main landing gear ...
Almudena Buelta   +2 more
wiley   +1 more source

Totally Volume Integral of Fluxes for Discontinuous Galerkin Method (TVI-DG) I-Unsteady Scalar One Dimensional Conservation Laws

open access: yesمجلة المختار للعلوم, 2017
The volume integral of Riemann flux in the discontinuous Galerkin (DG) method is introduced in this paper. The boundaries integrals of the fluxes (Riemann flux) are transformed into volume integral.
Ibrahim. M. Rustum, ElHadi. I. Elhadi
doaj   +1 more source

Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
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

A comparison of implicit–explicit Runge–Kutta time integration schemes in numerical solvers based on the Galerkin and Petrov–Galerkin spectral methods for two-dimensional magneto-hydrodynamic problems

open access: yesResults in Applied Mathematics
The research adopts the Galerkin and Petrov–Galerkin spectral methods to analyze the effects of implicit–explicit Runge–Kutta (IMEX RK) time schemes on the stability, accuracy, precision, and efficiency of computations when used in numerical simulations ...
Anna Piterskaya, Mikael Mortensen
doaj   +1 more source

Stabilized approximation of steady flow of third grade fluid in presence of partial slip

open access: yesResults in Physics, 2017
This article presents a stable numerical solution to the steady flow of thermodynamic compatible third grade fluid past a porous plate. Problem formulation is completed through partial slip condition.
Amer Rasheed   +3 more
doaj   +1 more source

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