Results 91 to 100 of about 32,638,059 (250)

Application of the Finite Element Method to Rotary Wing Aeroelasticity [PDF]

A finite element method for the spatial discretization of the dynamic equations of equilibrium governing rotary-wing aeroelastic problems is presented. Formulation of the finite element equations is based on weighted Galerkin residuals.
Friedmann, P. P., Straub, F. K.
core   +1 more source

Direct Numerical Simulation of Magnetohydrodynamic Slip‐Flow Past a Stretching Surface Using Physics‐Informed Neural Network

Heat Transfer, Volume 55, Issue 3, Page 1674-1682, May 2026.
ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley   +1 more source

Explicit‐Implicit Material Point Method for Dense Granular Flows With a Novel Regularized µ(I) Model

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 7, Page 3256-3273, May 2026.
ABSTRACT The material point method (MPM) is widely employed to simulate granular flows. Although explicit time integration is favored in most current MPM implementations for its simplicity, it cannot rigorously incorporate the incompressible µ(I)‐rheology, an efficient model ubiquitously adopted in other particle‐based numerical methods. While operator‐
Hang Feng, Zhen‐Yu Yin
wiley   +1 more source

An analytical and numerical approach for the $(1+1)$-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equation [PDF]

Iranian Journal of Numerical Analysis and Optimization
The main focus of this work is to develop and implement an efficient lo-cal discontinuous Galerkin scheme for acquiring the numerical solution of the (1 + 1)-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equa-tion. The proposed framework employs a
A. Chand, J. Mohapatra
doaj   +1 more source

A Space-Time Discontinuous Galerkin Trefftz Method for time dependent Maxwell's equations

, 2014
We consider the discretization of electromagnetic wave propagation problems by a discontinuous Galerkin Method based on Trefftz polynomials. This method fits into an abstract framework for space-time discontinuous Galerkin methods for which we can prove ...
Egger, Herbert, Kretzschmar, Fritz, Schnepp, Sascha M., Weiland, Thomas   +3 more
core  

Optimizing soil moisture sensor installation depths and number of sensors for in situ monitoring networks

Vadose Zone Journal, Volume 25, Issue 3, May/June 2026.
Abstract Previously, developers of soil moisture monitoring networks have determined how many sensors to use and their installation depths with little objective guidance, which led to heavy reliance on suboptimal past precedents when deploying new networks. One such network, the Oklahoma Hydronet, is being developed to monitor water stored in the state'
Erik S. Krueger, Ali Ashrafi, Andres Patrignani, Briana M. Wyatt, Christopher A. Fiebrich, Cynthia M. Luttrell, Seyed Ali Azizi, Tyson E. Ochsner   +7 more
wiley   +1 more source

Forward and Adjoint Calculations of Gravitational Potential in Heterogeneous, Aspherical Planets

Earth and Space Science, Volume 13, Issue 5, May 2026.
Abstract We have developed a computational package for the calculation of numerically exact internal and external gravitational potential, its functional derivatives and sensitivity kernels, in an aspherical, heterogeneous planet. We detail our implementation, utilizing a transformation of the Poisson equation into a spherical reference domain, as well
Alex D. C. Myhill, Matthew A. Maitra, David Al‐Attar   +2 more
wiley   +1 more source

Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
wiley   +1 more source

Galerkin-finite difference method for fractional parabolic partial differential equations

MethodsX
The fractional form of the classical diffusion equation embodies the super-diffusive and sub-diffusive characteristics of any flow, depending on the fractional order. This study aims to approximate the solution of parabolic partial differential equations
Md. Shorif Hossan, Trishna Datta, Md. Shafiqul Islam   +2 more
doaj   +1 more source

A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]

Sci Rep, 2023
Jaśkowiec J, Pamin J.
europepmc   +1 more source