Results 71 to 80 of about 752 (185)
The Time Discontinuous H1-Galerkin Mixed Finite Element Method for Linear Sobolev Equations
Discrete Dynamics in Nature and Society, 2015 We combine the H1-Galerkin mixed finite element method with the time discontinuous Galerkin method to approximate linear Sobolev equations. The advantages of these two methods are fully utilized.
Hong Yu, Tongjun Sun, Na Li
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Explicit‐Implicit Material Point Method for Dense Granular Flows With a Novel Regularized µ(I) Model
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 7, Page 3256-3273, May 2026.ABSTRACT The material point method (MPM) is widely employed to simulate granular flows. Although explicit time integration is favored in most current MPM implementations for its simplicity, it cannot rigorously incorporate the incompressible µ(I)‐rheology, an efficient model ubiquitously adopted in other particle‐based numerical methods. While operator‐
Hang Feng, Zhen‐Yu Yin
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FEM‐Peridynamic Modelling of Supershear Earthquake Ruptures in Dry and Fluid‐Saturated Media
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.Abstract Since ground shaking increases with rupture speed during earthquakes, the velocity transition from sub‐Rayleigh to supershear in mode II fracture is crucial for the propagation of seismic ruptures and associated strong ground motions. We employ a newly conceived 2‐dimensional hybrid Finite Element Method and Peridynamic (FEM/PD‐2D) model to ...
Yongkang Shu +6 more
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Asperity‐Driven Cascading Rupture of a Mw 1.6 Induced Microearthquake
Geophysical Research Letters, Volume 53, Issue 8, 28 April 2026.Abstract Studies of small earthquake (M < 2) rupture processes traditionally rely on simplified models that assume symmetric slip or point sources. Using an exceptionally dense seismic network and empirical Green's function (EGF) analysis, we investigate the complex rupture of a Mw 1.6 microearthquake induced by hydraulic fracturing.
Xinxing Chen +3 more
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SoftwareXThis paper introduces the DGFS-BE solver, an open-source Discontinuous Galerkin Fast Spectral solver designed to address the complexities of the Boltzmann equation, a fundamental equation in kinetic theory.
Evgeniia Vorozhbit +4 more
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Gaussian quadrature rules and A-stability of Galerkin schemes for ODE
International Journal of Mathematics and Mathematical Sciences, 2003 The A-stability properties of continuous and discontinuous Galerkin methods for solving ordinary differential equations (ODEs) are established using properties of Legendre polynomials and Gaussian quadrature rules. The influence on the A-stability of the
Ali Bensebah +2 more
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On Discontinuous Galerkin Methods for Elliptic Problems with Discontinuous Coefficients [PDF]
Computational Methods in Applied Mathematics, 2003 AbstractDiscontinuous Galerkin methods for elliptic problems with discontinuous coefficients are discussed. First the error bound of the methods is analyzed. Then a multilevel additive Schwarz preconditioner for one of the discrete problems is designed and analyzed.
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Advances in Mathematical Physics, 2017 HDG method has been widely used as an effective numerical technique to obtain physically relevant solutions for PDE. In a practical setting, PDE comes with nonlinear coefficients.
Minam Moon, Hyung Kyu Jun, Tay Suh
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Discrete Dynamics in Nature and Society, 2020 In this paper, we introduce and analyze H(div)-conforming finite element methods for a nonlinear model in poroelasticity. More precisely, the flow variables are discretized by H(div)-conforming mixed finite elements, while the elastic displacement is ...
Yuping Zeng, Zhifeng Weng, Fen Liang
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Penyelesaian Numerik Advection Equation 1 Dimensi dengan EFG-DGM
Media Komunikasi Teknik Sipil, 2016 Differential equation can be used to model various phenomena in science and engineering. Numerical method is the most common method used in solving DE.
Kresno Wikan Sadono
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