Results 101 to 110 of about 50,359 (223)
Model Predictive Control of Gas Networks Based on Port‐Hamiltonian Formulations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 3, September 2026.ABSTRACT To efficiently compute optimal compressor actions in gas networks, we investigate port‐Hamiltonian models consisting of linear and a nonlinear model assumptions. The control actions are derived via adjoint‐based gradients that incorporate the constraints of the underlying optimization problem. We then present results from the implementation of
Andres Ortegón‐Villacorte +1 more
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POD-Galerkin reduced-order modeling of the El Niño-Southern Oscillation (ENSO)
Applied Ocean ResearchReduced-order modeling (ROM) aims to mitigate computational complexity by reducing the size of a high-dimensional state space. In this study, we demonstrate the efficiency, accuracy, and stability of proper orthogonal decomposition (POD)-Galerkin ROM ...
Yusuf Aydogdu +1 more
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A review of numerical methods for flow and transport modeling in the vadose zone
Vadose Zone Journal, Volume 25, Issue 5, September/October 2026.Abstract Accurate modeling of subsurface flow and transport processes in the vadose zone, governed by the Richards equation and advection‐dispersion equation, respectively, poses major numerical challenges due to the strong nonlinearity of the governing partial differential equations, spatial heterogeneity and anisotropy of the media parameters, and ...
Shruti Jain, Saumava Dey, B. R. Chahar
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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
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.ABSTRACT Fluid‐filled phase‐field fracture simulations require robust, scalable solvers that can handle strongly nonlinear, non‐smooth mechanics and tightly coupled flow on locally refined meshes. In this work, we develop an adaptive finite element framework for quasi‐static, fluid‐filled phase‐field fractures that combines semi‐smooth Newton methods ...
Leon M. Kolditz +3 more
wiley +1 more source
非定常热对流传导问题的Lagrange-Galerkin方法(英文)
四川大学学报. 自然科学版, 2009 Lagrange-Galerkin方法是求解传导占优的扩散问题的数值方法.它将Galerkin有限元法和沿着质点轨道上关于物质导数的特殊离散结合在一起.本文作者研究了非定常热对流传导问题的Lagrange-Galerkin方法的存在性和最优误差估计.
陈豫眉, 骆艳, 冯民富
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Advances in Mathematical Physics, 2017 We focus on developing the finite difference (i.e., backward Euler difference or second-order central difference)/local discontinuous Galerkin finite element mixed method to construct and analyze a kind of efficient, accurate, flexible, numerical schemes
Meilan Qiu, Liquan Mei, Dewang Li
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Известия высших учебных заведений. Поволжский регион: Физико-математические наукиBackground. 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
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. The purpose of the work is to develop and implement the parallel algorithm for numerical solving the problem of electromagnetic wave diffraction by non-planar perfectly conducting screens. Materials and methods. Vector integro-differential
A. A. Tsupak
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Revista Facultad de Ingeniería Universidad de Antioquia, 2013 This article develops numerically the advection-diffusion equation problem, using Galerkin on characteristic lines and Streamline Upwind Petrov-Galerkin (SUPG) methods. The dominated advective conditions in the solved problem showed that for cases where
Carlos Humberto Galeano +2 more
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