Results 81 to 90 of about 73,174 (233)

The Dual Characteristic-Galerkin Method

Comptes Rendus. Mathématique
The Dual Characteristic-Galerkin method (DCGM) is conservative, precise and experimentally positive. We present the method and prove convergence and $L^2$-stability in the case of Neumann boundary conditions. In a 2D numerical finite element setting (FEM)
Hecht, Frédéric, Pironneau, Olivier
doaj   +1 more source

Numerical solution for one-dimensional pure-convection problems using the high-order Taylor-Galerkin element-free method [PDF]

مهندسی عمران شریف
The present study proposes a novel approach for solving one-dimensional pure convection problems, utilizing a high-order Taylor Galerkin element-free method. The standard Galerkin method has limitations in solving such problems due to the predominance of
S. Espahbodi Nia, Ali Rahmani Firoozjaee
doaj   +1 more source

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

International 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, Alberto Olivares, Ernesto Staffetti   +2 more
wiley   +1 more source

A weighted Nitsche discontinuous Galerkin finite element method for plane problems

Journal of Hebei University of Science and Technology, 2018
The classical discontinuous Galerkin finite element method has the unstable numerical problem resulting from the inappropriate stability parameter for elasticity problem with interfaces.
Xiaowei DENG, Jianfei ZHANG, Mingwei WANG   +2 more
doaj   +1 more source

Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators

International 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

Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley   +1 more source

An Approximate Solution of the Bending of Beams on a Nonlinear Elastic Foundation with the Galerkin Method [PDF]

Journal of Applied and Computational Mechanics
The analysis of beam deformation on elastic foundation is very important in engineering applications, and studies of beams on linear elastic foundations are abundant and accurate.
Junlong Jiang, Chencheng Lian, Baochen Meng, Huimin Jing, Xiang Fang, Ji Wang   +5 more
doaj   +1 more source

Application of Discontinuity Layout Optimization to Metal Shells and Assemblies

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT Discontinuity Layout Optimization (DLO) provides a computationally efficient means of determining collapse loads and associated failure mechanisms across a wide spectrum of plasticity problems. The classical DLO method has focused separately on in‐plane and out‐of‐plane plasticity.
John Valentino, Linwei He, Matthew Gilbert   +2 more
wiley   +1 more source

-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

Journal of Inequalities and Applications, 2010
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Lee HyunYoung, Shin JunYong, Ohm MiRay
doaj  

Stable Model Reduction for Time‐Domain Room Acoustics: A Structure‐Preserving Formulation for Complex Boundaries

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT This work presents novel structure‐preserving formulations for stable model order reduction in the context of time‐domain room acoustics simulations. A solution to address the instability in conventional model order reduction formulations based on the Linearized Euler Equations is derived and validated through numerical experiments.
Satish Bonthu, Hermes Sampedro Llopis, Solvi Thrastarson, Finnur Pind, Runar Unnthorsson   +4 more
wiley   +1 more source