Results 21 to 30 of about 121,260 (302)
Room acoustics modelling in the time-domain with the nodal discontinuous Galerkin method.
Journal of the Acoustical Society of America, 2019 To solve the linear acoustic equations for room acoustic purposes, the performance of the time-domain nodal discontinuous Galerkin (DG) method is evaluated.
Huiqing Wang +3 more
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A weighted Nitsche discontinuous Galerkin finite element method for plane problems
Journal of Hebei University of Science and Technology, 2018 The classical discontinuous Galerkin finite element method has the unstable numerical problem resulting from the inappropriate stability parameter for elasticity problem with interfaces.
Xiaowei DENG +2 more
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Numerical approximation of time-fractional Burgers-type equation
Advances in Difference Equations, 2020 In this work, we analyze and test a local discontinuous Galerkin method for solving the Burgers-type equation. The proposed numerical method, which is high-order accurate, is based on a finite difference scheme in time and local discontinuous Galerkin ...
Miaomiao Yang
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Advances in Mechanical Engineering, 2019 In this work, we deal with high-order solver for incompressible flow based on velocity correction scheme with discontinuous Galerkin discretized velocity and standard continuous approximated pressure.
Liyang Xu +5 more
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Space-time discontinuous Galerkin method for the numerical simulation of the compressible turbulent gas flow through the porous media [PDF]
EPJ Web of Conferences, 2019 The article is concerned with the numerical simulation of the compressible turbulent gas flow through the porous media using space-time discontinuous Galerkin method.The mathematical model of flow is represented by the system of non-stationary Reynolds ...
Česenek Jan
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Palindromic Discontinuous Galerkin Method [PDF]
, 2017 We present a high-order scheme for approximating kinetic equations with stiff relaxation. The construction is based on a high-order, implicit, upwind Discontinuous Galerkin formulation of the transport equations. In practice, because of the triangular structure of the implicit system, the computations are explicit. High order in time is achieved thanks
Coulette, David +4 more
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The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
, 1998 In this paper, we study the local discontinuous Galerkin (LDG) methods for nonlinear, time-dependent convection-diffusion systems. These methods are an extension of the Runge--Kutta discontinuous Galerkin (RKDG) methods for purely hyperbolic systems to ...
Bernardo Cockburn, Chi-Wang Shu
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Multisymplecticity of Hybridizable Discontinuous Galerkin Methods [PDF]
Foundations of Computational Mathematics, 2019 In this paper, we prove necessary and sufficient conditions for a hybridizable discontinuous Galerkin (HDG) method to satisfy a multisymplectic conservation law, when applied to a canonical Hamiltonian system of partial differential equations. We show that these conditions are satisfied by the "hybridized" versions of several of the most commonly-used ...
Robert I. McLachlan, Ari Stern
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An analytical and numerical approach for the $(1+1)$-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equation [PDF]
Iranian Journal of Numerical Analysis and OptimizationThe main focus of this work is to develop and implement an efficient lo-cal discontinuous Galerkin scheme for acquiring the numerical solution of the (1 + 1)-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equa-tion. The proposed framework employs a
A. Chand, J. Mohapatra
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Nonlinear discontinuous Petrov–Galerkin methods [PDF]
Numerische Mathematik, 2018 The discontinuous Petrov-Galerkin method is a minimal residual method with broken test spaces and is introduced for a nonlinear model problem in this paper. Its lowest-order version applies to a nonlinear uniformly convex model example and is equivalently characterized as a mixed formulation, a reduced formulation, and a weighted nonlinear least ...
Friederike Hellwig +3 more
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