Results 71 to 80 of about 52,764 (220)
Faedo-Galerkin approximation of mild solutions of fractional functional differential equations
Nonautonomous Dynamical Systems, 2021 In the paper, we discuss the existence and uniqueness of mild solutions of a class of fractional functional differential equations in Hilbert space separable using the Banach fixed point theorem technique.
Sousa J. Vanterler da C. +2 more
doaj +1 more source
On Multiscale Methods in Petrov-Galerkin formulation [PDF]
, 2014 In this work we investigate the advantages of multiscale methods in Petrov-Galerkin (PG) formulation in a general framework. The framework is based on a localized orthogonal decomposition of a high dimensional solution space into a low dimensional ...
Elfverson, Daniel +2 more
core
Quantifying the Effects of Spatial Inhomogeneity in an Autoclave LDPE Reactor Using CFD
Macromolecular Reaction Engineering, EarlyView.A CFD simulation incorporating rigorous polymerization chemistry into a plant‐scale sliding mesh reactor with multiple PID controllers revealed axial flow patterns that segment the reactor into smaller compartments with different properties. More evident differences exist between the mixture within the agitator shaft swept volume and that outside of ...
Elijah Yoder, Wayne Strasser
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, EarlyView.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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River Research and Applications, EarlyView.ABSTRACT Regulated rivers represent complex hydrological systems where groundwater–surface water interactions are governed by natural conditions and human interventions. This study investigates the spatiotemporal dynamics of groundwater–surface water exchanges in the Nechako River, British Columbia (Canada), using numerical simulations.
Milad Fakhari +4 more
wiley +1 more source
Recent developments in stabilized Galerkin and collocation meshfree methods
Computer Assisted Methods in Engineering and Science, 2017 Meshfree methods have been developed based on Galerkin type weak formulation and strong formulation with collocation. Galerkin type formulation in conjunction with the compactly supported approximation functions and polynomial reproducibility yields ...
Jiun-Shyan Chen +2 more
doaj
Galerkin approximation for multi-term time-fractional differential equations
Ain Shams Engineering JournalFractional differential equations (FDEs) are utilized as a precise model for describing a wide range of biological and physical processes, benefiting from the inherent symmetry feature in natural phenomena.
Shams Ul Arifeen +3 more
doaj +1 more source
High Voltage, EarlyView.ABSTRACT A reduced‐order model (ROM) for the temperature field based on time‐space proper orthogonal decomposition (POD) is presented to improve the computational efficiency of transient temperature rise in oil‐immersed power transformers with a complete oil natural convection cooling loop.
Haijuan Lan +5 more
wiley +1 more source
HP DISCONTINUOUS GALERKIN APPROXIMATIONS FOR THE STOKES PROBLEM [PDF]
Mathematical Models and Methods in Applied Sciences, 2002 We propose and analyze a discontinuous Galerkin approximation for the Stokes problem. The finite element triangulation employed is not required to be conforming and we use discontinuous pressures and velocities. No additional unknown fields need to be introduced, but only suitable bilinear forms defined on the interfaces between the elements ...
openaire +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 +5 more
wiley +1 more source