Results 21 to 30 of about 43,210 (256)
Open Mathematics, 2018 In this paper we develop and analyze the local discontinuous Galerkin (LDG) finite element method for solving the general Lax equation. The local discontinuous Galerkin method has the flexibility for arbitrary h and p adaptivity, and allows for hanging ...
Wei Leilei, Mu Yundong
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Advanced Modeling and Simulation in Engineering Sciences, 2021 This article proposes a coupled thermomechanical finite element model tailored to the macroscale simulation of metal additive manufacturing processes such as selective laser melting.
Sebastian D. Proell +2 more
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A fully implicit, fully adaptive time and space discretisation method for phase-field simulation of binary alloy solidification [PDF]
, 2007 A fully-implicit numerical method based upon adaptively refined meshes for the simulation of binary alloy solidification in 2D is presented. In addition we combine a second-order fully-implicit time discretisation scheme with variable steps size ...
Jimack, P.K., Mullis, A., Rosam, J.
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Investigation of the Heating Processes and Temperature Field of the Frequency-controlled Asynchronous Engine Based on Mathematical Models [PDF]
, 2019 The study of the temperature field of the engine for non-stationary modes is done. A numerical simulation of a non-stationary thermal process using dynamic EHD, the characteristic of the rate of rise of temperatures is done.
Dulfan, S. (Sergii) +2 more
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On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2007 The authors consider the following problem of the Stokes equations with homogeneous Dirichlet conditions \[ \begin{aligned} -\nu\Delta u + \nabla p = f &\quad \text{in }\Omega,\\ \text{div}\, u = 0 &\quad \text{in }\Omega,\\ u = 0 &\quad \text{on }\Gamma, \end{aligned} \] where \(u\) is a velocity field, \(p\) stands for a pressure distribution ...
Heuveline, V., Schieweck, F.
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Advanced Modeling and Simulation in Engineering Sciences, 2017 In this paper the h-adaptive partition-of-unity method and the h- and hp-adaptive finite element method are applied to eigenvalue problems arising in quantum mechanics, namely, the Schrödinger equation with Coulomb and harmonic potentials, and the all ...
Denis Davydov +3 more
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, 2013 An hp-adaptive Discontinuous Galerkin Method for electromagnetic wave propagation phenomena in the time-domain is proposed. The method is highly efficient and allows for the first time the adaptive full-wave simulation of transient problems in three ...
Schnepp, Sascha M.
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An adaptive, hanging-node, discontinuous isogeometric analysis method for the first-order form of the neutron transport equation with discrete ordinate (SN) angular discretisation [PDF]
, 2017 In this paper a discontinuous, hanging-node, isogeometric analysis (IGA) method is developed and applied to the first-order form of the neutron transport equation with a discrete ordinate (SN) angular discretisation in two-dimensional space.
Eaton, M, Kophazi, J, Owens, A, Welch, J
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Applied SciencesMany challenges are commonly encountered in the underground mining of steeply dipping thin-to-medium-thick orebodies associated with weak hanging wall rockmass, such as stope back collapse, high ore dilution, and poor stoping stability.
Jiayou Jing +5 more
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Applied SciencesAdjoint-based mesh adaptation method serves as an effective approach to improve the predictive accuracy of aerodynamic characteristics. However, viscous boundary layer grids often encounter issues such as hanging nodes, negative volumes, and directional ...
Pengcheng Cui +8 more
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