Results 31 to 40 of about 16,319,430 (163)
An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method
Entropy, 2023 An optimized Schwarz domain decomposition method (DDM) for solving the local optical response model (LORM) is proposed in this paper. We introduce a hybridizable discontinuous Galerkin (HDG) scheme for the discretization of such a model problem based on ...
Jia-Fen Chen +3 more
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Computation of Trailing Edge Noise with a Discontinuous Galerkin Method [PDF]
, 2010 Trailing edge noise of a semi-infinite, thin, flat plate situated in low Mach number flow is computed in two spatial dimensions. The Acoustic Perturbation Equations (APE), which are employed as governing equations, are discretized via a Discontinuous ...
M. Bauer, Bauer, Marcus
core +1 more source
An Unfitted Discontinuous Galerkin Method for Elliptic Interface Problems
Journal of Applied Mathematics, 2014 An unfitted discontinuous Galerkin method is proposed for the elliptic interface problems. Based on a variant of the local discontinuous Galerkin method, we obtain the optimal convergence for the exact solution u in the energy norm and its flux p in the ...
Qiuliang Wang, Jinru Chen
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Journal of Inequalities and Applications, 2017 In this paper, we discuss the superconvergence of the local discontinuous Galerkin methods for nonlinear convection-diffusion equations. We prove that the numerical solution is ( k + 3 / 2 ) $(k+3/2)$ th-order superconvergent to a particular projection ...
Hui Bi, Chengeng Qian
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Time-domain shielding effectiveness analysis based on DGTD method
Zhongguo Jianchuan Yanjiu, 2023 ObjectiveIn order to accurately analyze the time-domain shielding effectiveness (TDSE) of metallic enclosures, a discontinuous Galerkin time domain (DGTD) method based on the local time-stepping (LTS) technique and parallel technique is proposed ...
Zhenglang JIA +4 more
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Implementation of LDG method for 3D unstructured meshes
Revista de Matemática: Teoría y Aplicaciones, 2012 This paper describes an implementation of the Local Discontinuous Galerkin method (LDG) applied to elliptic problems in 3D. The implementation of the major operators is discussed.
Filander A. Sequeira Chavarría +1 more
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A direct coupling of local discontinuous Galerkin and boundary element methods [PDF]
Mathematics of Computation, 2010 The coupling of local discontinuous Galerkin (LDG) and boundary element methods (BEM), which has been developed recently to solve linear and nonlinear exterior transmission problems, employs a mortar-type auxiliary unknown to deal with the weak continuity of the traces at the interface boundary.
Gabriel N. Gatica +2 more
openaire +5 more sources
Using a LDG method for solving an inverse source problem of the time-fractional diffusion equation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2017 In this paper, we apply a local discontinuous Galerkin (LDG) method to solve some fractional inverse problems. In fact, we determine a timedependent source term in an inverse problem of the time-fractional diffusion equation.
Somayeh Yeganeh +2 more
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Error Estimates for Local Discontinuous Galerkin Methods for Linear Fourth-order Equations
Journal of Harbin University of Science and Technology, 2021 This paper studies the stability and error estimates of the local discontinuous Galerkin method for fourth-order linear partial differential equations based on upwind-biased fluxes. Consider using the semi-discrete form of numerical format in the spatial
BI Hui, CHEN Sha-sha
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The local discontinuous Galerkin method for contaminant transport [PDF]
Advances in Water Resources, 2000 Abstract We develop a discontinuous finite element method for advection–diffusion equations arising in contaminant transport problems, based on the Local Discontinuous Galerkin (LDG) method of Cockburn B and Shu CW. (The local discontinuous Garlerkin method for time-dependent convection–diffusion systems. SIAM J Numer Anal 1998;35:2440–63).
Vadym Aizinger +3 more
openaire +1 more source