Results 71 to 80 of about 68,141 (218)

Leaky Sewers Hydraulically Disconnect from Groundwater: A Proof‐of‐Concept

Groundwater, EarlyView.
In this study, we newly demonstrate that leaky pipes can become hydraulically disconnected from the underlying groundwater—a phenomenon analogous to river–groundwater interactions. Through numerical modeling, we show that, as the groundwater table declines, the leakage flux from the pipe (in absolute terms) initially increases until a critical depth ...
Aaron Peche, Fritz Kalwa, Syed Mohaiminul Islam, Georg Houben, Thomas Graf, Sven Altfelder   +5 more
wiley   +1 more source

Characteristics Weak Galerkin Finite Element Methods for Convection-Dominated Diffusion Problems

Abstract and Applied Analysis, 2014
The weak Galerkin finite element method is combined with the method of characteristics to treat the convection-diffusion problems on the triangular mesh.
Ailing Zhu, Qiang Xu, Ziwen Jiang
doaj   +1 more source

Comparison between variational iteration method and Gegenbauer–Galerkin method for solving two dimensional nonlinear Volterra integral equations of the second kind [PDF]

AIP Advances
This paper intends to introduce two numerical techniques—the variational iteration method and the Gegenbauer–Galerkin method—for obtaining solutions to two dimensional nonlinear Volterra integral equations of the second kind.
M. H. Ahmed
doaj   +1 more source

Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley   +1 more source

Role of Unsaturated Zone on Aquifer Leakage–Assessed With Tidal Response

Geophysical Research Letters, Volume 53, Issue 11, 16 June 2026.
Abstract Tidal response analysis is widely used to evaluate aquifer systems, but traditional models that neglect the unsaturated zone often underestimate groundwater leakage. This study develops a new analytical model for tidal analysis that incorporates unsaturated zone effects and explained leakage patterns that traditional models could not resolve ...
Guoliang Wang, Xiuyu Liang, Jiangwei Zhang, Huimin Mu, Chi‐Yuen Wang   +4 more
wiley   +1 more source

Two modified shifted Chebyshev–Galerkin operational matrix methods for even-order partial boundary value problems

Boundary Value Problems
This paper presents two operational matrices. The first one represents integer-order derivatives of the modified shifted Chebyshev polynomials of the second kind.
M. Abdelhakem, Dina Abdelhamied, M. El-Kady, Y. H. Youssri   +3 more
doaj   +1 more source

Evaluation of coupled finite element/meshfree method for a robust full-scale crashworthiness simulation of railway vehicles

Advances in Mechanical Engineering, 2016
The crashworthiness of a railway vehicle relates to its passive safety performance. Due to mesh distortion and difficulty in controlling the hourglass energy, conventional finite element methods face great challenges in crashworthiness simulation of ...
Zhao Tang, Feng Jia Liu, Shi Hui Guo, Jian Chang, Jian Jun Zhang   +4 more
doaj   +1 more source

The Discontinuous Galerkin Method with Diffusion [PDF]

Mathematics of Computation, 1992
Let \(\Omega\subset \mathbb{R}^ 2\) be a bounded polygon and \(\alpha=(\alpha_ 1,\alpha_ 2)\) a unit vector. The author considers the following class of constant-coefficient convection-diffusion equations: (1) \(u_ \alpha-\sigma_ 1u_{xx}-\sigma_ 2u_{yy}=f\), where \((x,y)\in \Omega\), \(u_ \alpha=\alpha\cdot\bigtriangledown u\) and \(\sigma_ 1\) and \(\
openaire   +1 more source

Solid Mechanics Segregated Solver Acceleration With Jacobian‐Free Newton‐Krylov

International Journal for Numerical Methods in Engineering, Volume 127, Issue 11, 15 June 2026.
ABSTRACT The segregated algorithm is a common approach for finite volumes solvers in solid mechanics, providing a memory‐efficient and straightforward implementation. Due to the inter‐coupling of the components through the source terms, it suffers from a slow convergence behavior in specific scenarios, such as geometries with significantly uneven ...
Andry Monlon, Alessandro Scolaro, Philip Cardiff, Ivor Clifford, Oskari Pakari, Mathieu Hursin   +5 more
wiley   +1 more source

Local Discontinuous Galerkin Methods Coupled with Implicit Integration Factor Methods for Solving Reaction-Cross-Diffusion Systems

Discrete Dynamics in Nature and Society, 2016
We present a new numerical method for solving nonlinear reaction-diffusion systems with cross-diffusion which are often taken as mathematical models for many applications in the biological, physical, and chemical sciences.
Na An, Xijun Yu, Chaobao Huang, Maochang Duan   +3 more
doaj   +1 more source