Results 61 to 70 of about 4,808 (199)

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

Известия 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

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

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

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

Results 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, Azka Kausar, Abdul Wahab, Tanvir Akbar   +3 more
doaj   +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

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

Results 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

Efficient Numerical Framework for Geothermal Energy Production Optimization in Fracture‐Controlled Reservoirs

International Journal for Numerical Methods in Fluids, Volume 98, Issue 6, Page 709-730, June 2026.
We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
wiley   +1 more source

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

مجلة 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

Chebyshev Smoothing With Adaptive Block‐FSAI Preconditioners for the Multilevel Solution of Higher‐Order Problems With the Partition of Unity Method

Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
ABSTRACT In this paper, we assess the performance of adaptive and nested factorized sparse approximate inverses as smoothers in multilevel V‐cycles, when smoothing is performed following the Chebyshev iteration of the fourth kind, for the efficient solution of linear systems arising from a conforming discretization of higher‐order partial differential ...
Pablo Jiménez Recio, Marc Alexander Schweitzer   +1 more
wiley   +1 more source

Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin, Nina Beranek, Gajendra Babu Budihala, Matthias Mettenleiter, Goksu Oruc, Karsten Urban   +5 more
wiley   +1 more source