Results 31 to 40 of about 734 (166)
Инженерные технологии и системы, 2021 Introduction. In this article, the problem of temperature distribution in an oil-bearing formation with a hydraulic fracture and a vertical injection well is numerically modeled. Materials and Methods. To describe the process of temperature distribution
Ruslan V. Zhalnin +3 more
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Convergence of adaptive discontinuous Galerkin methods
Mathematics of Computation, 2018 We develop a general convergence theory for adaptive discontinuous Galerkin methods for elliptic PDEs covering the popular SIPG, NIPG and LDG schemes as well as all practically relevant marking strategies. Another key feature of the presented result is, that it holds for penalty parameters only necessary for the standard analysis ...
Christian Kreuzer +1 more
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Discontinuous Galerkin Methods for the Ostrovsky–Vakhnenko Equation [PDF]
Journal of Scientific Computing, 2020 In this paper, we develop discontinuous Galerkin (DG) methods for the Ostrovsky-Vakhnenko (OV) equation, which yields the shock solutions and singular soliton solutions, such as peakon, cuspon and loop solitons. The OV equation has also been shown to have a bi-Hamiltonian structure.
Qian Zhang 0056, Yinhua Xia
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Journal of Advanced Transportation, 2023 The macroscopic models for solving the pedestrian flow problem can be generally classified into two categories as follows: first-order continuum models and high-order continuum models.
L. Yang, H. Liang, J. Du, S. C. Wong
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Comparison of DDFV and DG Methods for Flow in Anisotropic Heterogeneous Porous Media
Oil & Gas Science and Technology, 2014 We present a preliminary work to simulate gas injection in deep aquifers. Unsteady single-phase flows are considered. We compare Discrete Duality Finite Volume (DDFV, Discrete Duality Finite Volume) and Discontinuous Galerkin (DG, Discontinuous Galerkin)
Baron V., Coudière Y., Sochala P.
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Adaptive discontinuous Galerkin methods on surfaces [PDF]
Numerische Mathematik, 2015 26 pages, 11 figures.
Andreas Dedner, Pravin Madhavan
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Computation, 2023 In this paper, we present an innovative approach to solve a system of boundary value problems (BVPs), using the newly developed discontinuous Galerkin (DG) method, which eliminates the need for auxiliary variables.
Helmi Temimi
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مجلة المختار للعلوم, 2017 The volume integral of Riemann flux in the discontinuous Galerkin (DG) method is introduced in this paper. The boundaries integrals of the fluxes (Riemann flux) are transformed into volume integral.
Ibrahim. M. Rustum, ElHadi. I. Elhadi
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Advances in Aerodynamics, 2022 In this paper, we present a mesh adaptation algorithm for the unsteady compressible Navier-Stokes equations under the framework of local discontinuous Galerkin methods coupled with implicit-explicit Runge-Kutta or spectral deferred correction time ...
Xiangyi Meng, Yan Xu
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Discontinuous Galerkin methods for the biharmonic problem [PDF]
IMA Journal of Numerical Analysis, 2008 This work is concerned with the design and analysis of hp-version discontinuous Galerkin (DG) finite element methods for boundary-value problems involving the biharmonic operator. The first part extends the unified approach of Arnold, Brezzi, Cockburn & Marini (SIAM J. Numer. Anal.
Georgoulis, EH, Houston, P
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