Results 81 to 90 of about 523 (187)

An algorithm for stabilizing hybridizable discontinuous Galerkin methods for nonlinear elasticity

Results in Applied Mathematics, 2019
It is now a well known fact that hybridizable discontinuous Galerkin for nonlinear elasticity may not converge to the exact solution if their inter-element jumps are not properly penalized or, equivalently, if the values of their stabilization function ...
Bernardo Cockburn, Jiguang Shen
doaj   +1 more source

Local Discontinuous Galerkin Methods Coupled with Implicit Integration Factor Methods for Solving Reaction-Cross-Diffusion Systems

Discrete Dynamics in Nature and Society, 2016
We present a new numerical method for solving nonlinear reaction-diffusion systems with cross-diffusion which are often taken as mathematical models for many applications in the biological, physical, and chemical sciences.
Na An, Xijun Yu, Chaobao Huang, Maochang Duan   +3 more
doaj   +1 more source

Equivalence Between DFR Method and LDG Method for Solving Linear Third-Order KdV Equation

Journal of Harbin University of Science and Technology
The equivalence between direct flux reconstruction method and local discontinuous Galerkin method in solving linear third-order KdV equation is studied.
BI Hui, LI Xiaotong
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The LDG Finite-Element Method for Multi-Order FDEs: Applications to Circuit Equations

Fractal and Fractional
The current research study presents a comprehensive analysis of the local discontinuous Galerkin (LDG) method for solving multi-order fractional differential equations (FDEs), with an emphasis on circuit modeling applications.
Mohammad Izadi, Hari Mohan Srivastava, Mahdi Kamandar   +2 more
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PHYSICAL FEATURES OF THE PROCESSES OF DEFORMATION AND DESTRUCTION OF THE MATERIAL BY THE FINITE NODE METHOD

Надежность и качество сложных систем
Background. In this article, deformations and destruction of the composite sleeve material in the contact area of two different materials (steel and polyamide) are studied using a mathematical model of the Galerkin discontinuous method. The peculiarity
A.I. Godunov, S.A. Kukanov, D.V. Baklanov   +2 more
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A locally field-aligned discontinuous Galerkin method

, 2018
Motivated by problems in plasma physics, we deduce several models in two- and three-dimensional geometries and construct a discontinuous Galerkin (DG) method using a non-conforming locally field-aligned mesh. This approach allows us to distribute resolution parallel and perpendicular to the magnetic field.
openaire   +2 more sources

Dynamic Simulation of Distribution Networks Using Multi-stage Discontinuous Galerkin Method

CSEE Journal of Power and Energy Systems
Dynamic simulation plays a fundamental role in security evaluation of distribution networks (DNs). However, the strong stiffness and non-linearity of distributed generation (DG) models in DNs bring about burdensome computation and noteworthy instability ...
Ruizhi Yu, Wei Gu, Weiqi Liu, Peixin Li, Wei Liu   +4 more
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A numerical algorithm based on extended cubic B-spline functions for solving time-fractional convection-diffusion-reaction equation with variable coefficients

Journal of Nigerian Society of Physical Sciences
In this research, we develop an innovative and efficient numerical method for solving a nonlinear one-dimensional time-fractional convection-diffusion-reaction equation (TFCDRE) with a variable coefficient.
Anthony Anya Okeke, Nur Nadiah Abd Hamid, Wen Eng Ong, Muhammad Abbas   +3 more
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Mooring Evaluation of a Floating Offshore Wind Turbine Platform Under Rogue Wave Conditions Using a Coupled CFD-FEM Model

Journal of Marine Science and Engineering
As the development of offshore wind energy transforms from coastal to deep-sea regions, designing a cost effective mooring system while ensuring the safety of floating offshore wind turbine (FOWT) remains a critical challenge, especially considering ...
Bo Li, Hao Qin, Haoran Zhang, Qibin Long, Donghao Ma, Chen Xu   +5 more
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A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]

Sci Rep, 2023
Jaśkowiec J, Pamin J.
europepmc   +1 more source