Results 21 to 30 of about 8,125 (187)
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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SoftwareX, 2018 The Discontinuous Element Insertion Program is a MATLAB/Octave toolbox for inserting zero-thickness interface elements into two and three dimensional finite element meshes.
Timothy J. Truster
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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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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 The discontinuous Galerkin method with discontinuous basic functions which is characterized by a high order of accuracy of the obtained solution is now widely used.
Ruslan V Zhalnin +3 more
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Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, EarlyView.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
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Deep Underground Science and Engineering, EarlyView.Joint orientation significantly affects P‐wave velocity, with the highest velocity at zero‐degree angles, decreasing to 30° as the angle increases. The velocity increases slightly from 30 to 45 degrees but sharply decreases from 45 to 90 degrees. Abstract Determination of the required parameters in different science contexts using the ultrasonic wave ...
Yaghoob Zarei +4 more
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Discontinuous Galerkin approach for two-parametric convection-diffusion equation with discontinuous source term [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn this article, we explore the discontinuous Galerkin finite element method for two-parametric singularly perturbed convection-diffusion problems with a discontinuous source term.
K. R. Ranjan, S. Gowrisankar
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Results in Applied Mathematics, 2020 An hybridizable discontinuous Galerkin method of arbitrary high order is formulated to solve the miscible displacement problem in porous media. The spatial discretization is combined with a sequential algorithm that decouples the flow and the transport ...
Maurice S. Fabien +2 more
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A sharp error analysis for the DG method of optimal control problems
AIMS Mathematics, 2022 In this paper, we are concerned with a nonlinear optimal control problem of ordinary differential equations. We consider a discretization of the problem with the discontinuous Galerkin method with arbitrary order $ r \in \mathbb{N}\cup \{0\} $.
Woocheol Choi , Young-Pil Choi
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Space‐Time Modeling and Numerical Simulations of Non‐Newtonian Fluids Using Internal Variables
International Journal for Numerical Methods in Fluids, EarlyView.Based on Hamilton's principle, the study focuses on a novel strategy for the modeling of non‐Newtonian fluids with the help of internal variables. Here, the viscosity evolves locally in space and time. Three configurations are numerically implemented, namely channel flow, a benchmark, and a lid‐driven cavity.
Philipp Junker, Thomas Wick
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