Results 51 to 60 of about 58,777 (284)
Journal of Applied Mathematics, 2013 We discuss several stabilized finite element methods, which are penalty, regular, multiscale enrichment, and local Gauss integration method, for the steady incompressible flow problem with damping based on the lowest equal-order finite element space pair.
Jilian Wu, Pengzhan Huang, Xinlong Feng
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Prediction of Discretization of GMsFEM Using Deep Learning
Mathematics, 2019 In this paper, we propose a deep-learning-based approach to a class of multiscale problems. The generalized multiscale finite element method (GMsFEM) has been proven successful as a model reduction technique of flow problems in heterogeneous and high ...
Min Wang +5 more
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Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations
Mathematics, 2020 In this paper, we investigate and design multiscale simulations for stochastic multiscale PDEs. As for the space, we consider a coarse grid and a known multiscale method, the generalized multiscale finite element method (GMsFEM).
Zecheng Zhang +3 more
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Analysis of porosity influence on the effective moduli of ceramic matrix PZT composite using the simplified finite element model [PDF]
Journal of Advanced Dielectrics, 2019 The problem of determining the effective moduli of a ceramic matrix piezocomposite with respect to multiscale porosity was considered. To solve the homogenization problem, the method of effective moduli in the standard formulation, the finite element ...
Anna Kudimova, Andrey Nasedkin
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A multiscale method for heterogeneous bulk-surface coupling
, 2020 In this paper, we construct and analyze a multiscale (finite element) method for parabolic problems with heterogeneous dynamic boundary conditions. As origin, we consider a reformulation of the system in order to decouple the discretization of bulk and ...
Altmann, Robert, Verfürth, Barbara
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A Multiscale Finite Element Method for the Schrödinger Equation with Multiscale Potentials [PDF]
SIAM Journal on Scientific Computing, 2019 In recent years, an increasing attention has been paid to quantum heterostructures with tailored functionalities, such as heterojunctions and quantum matematerials, in which quantum dynamics of electrons can be described by the Schrödinger equation with multiscale potentials.
Jingrun Chen, Dingjiong Ma, Zhiwen Zhang
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Advanced Engineering Materials, EarlyView.Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
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Mechanical Engineering Journal, 2016 In this paper, we applied a multiscale numerical scheme called the seamless-domain method (SDM) to nonlinear elliptic boundary value problems. Although the SDM is meshfree, it can obtain a high-resolution solution whose dependent-variable gradient(s) is ...
Yoshiro SUZUKI +2 more
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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
Robust error estimates in weak norms for advection dominated transport problems with rough data [PDF]
, 2014 We consider mixing problems in the form of transient convection--diffusion equations with a velocity vector field with multiscale character and rough data.
Burman, Erik
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