Results 71 to 80 of about 35,295 (209)
Exponentially Fitted Element-Free Galerkin Approach for Nonlinear Singularly Perturbed Problems
Journal of Mathematics, 2021 As it is well recognized that conventional numerical schemes are inefficient in approximating the solutions of the singularly perturbed problems (SPP) in the boundary layer region, in the present work, an effort has been made to propose a robust and ...
Jagbir Kaur, Vivek Sangwan
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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
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, 2018 We describe a compatible finite element discretisation for the shallow water equations on the rotating sphere, concentrating on integrating consistent upwind stabilisation into the framework. Although the prognostic variables are velocity and layer depth,
Cotter, C. J. +2 more
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Optimal Control of the Viscous Wave Equation via the Pontryagin Maximum Principle
Numerical Methods for Partial Differential Equations, Volume 42, Issue 3, May 2026.ABSTRACT A tracking‐type optimal control problem governed by the viscous wave equation with a distributed‐source control and L2$$ {L}^2 $$‐L1$$ {L}^1 $$ control costs is investigated. For this class of PDE‐constrained linear‐convex problems, a Pontryagin maximum principle (PMP) in the PDE setting is derived, and it is shown that the pointwise ...
A. Borzì, S. Roy
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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 +7 more
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Coupling of FEM and EFGM with dynamic decomposition in 2D quasi-brittle crack growth analysis
Computer Assisted Methods in Engineering and Science, 2023 In the paper three computational models for crack growth analysis in quasi-brittle materials in plane stress state are presented. These models have been worked out on the base of different methods of coupling the finite element method and the element ...
Jan Jaśkowiec, Czesław Cichoń
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Geometric Finite Element Discretization of Maxwell Equations in Primal and Dual Spaces
, 2005 Based on a geometric discretization scheme for Maxwell equations, we unveil a mathematical\textit{\}transformation between the electric field intensity $E$ and the magnetic field intensity $H$, denoted as Galerkin duality.
Balanis +19 more
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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 +2 more
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Vietnam Journal of Mechanics, 2009 A meshless approach to the analysis of two-dimensional elasticity problems by the Element-Free Galerkin (EFG) method is presented. This method is based on moving least squares approximant (MLS).
Nguyen Hoai Son
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An Analysis of the Anomalous Response of the Van Allen Probes EFW Instrument
Journal of Geophysical Research: Space Physics, Volume 131, Issue 5, May 2026.Abstract Recent in situ measurements of electric fields from missions such as Polar, DEMETER, and the Van Allen Probes have reported anomalies in double‐probe electric field measurements, attributed to unintended coupling between the sensor and nearby driven stub surfaces through the ambient plasma.
K. Greene +6 more
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