Results 31 to 40 of about 523 (187)
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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Efficient time discretization for local discontinuous Galerkin methods
Discrete & Continuous Dynamical Systems - B, 2007 In this paper, we explore three efficient time discretization techniques for the local discontinuous Galerkin (LDG) methods to solve partial differential equations (PDEs) with higher order spatial derivatives. The main difficulty is the stiffness of the LDG spatial discretization operator, which would require a unreasonably small time step for an ...
Yinhua Xia, Yan Xu, Chi-Wang Shu
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A Local Discontinuous Galerkin Method for Time-Fractional Burgers Equations
East Asian Journal on Applied Mathematics, 2020 Summary: A local discontinuous Galerkin finite element method for a class of timefractional Burgers equations is developed. In order to achieve a high order accuracy, the time-fractional Burgers equation is transformed into a first order system. The method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space.
Yuan, Wenping +2 more
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Efficient Operator-Coarsening Multigrid Schemes for Local Discontinuous Galerkin Methods [PDF]
SIAM Journal on Scientific Computing, 2019 An efficient $hp$-multigrid scheme is presented for local discontinuous Galerkin (LDG) discretizations of elliptic problems, formulated around the idea of separately coarsening the underlying discrete gradient and divergence operators. We show that traditional multigrid coarsening of the primal formulation leads to poor and suboptimal multigrid ...
Fortunato, Daniel +2 more
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Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation
Advances in Difference Equations, 2018 We consider a system of acoustic wave equation possessing lower-order perturbation terms in a bounded domain in R2 $\mathbb{R}^{2}$. In this paper, we show the system is well-posed and stable with energy decays introducing a local discontinuous Galerkin (
Dojin Kim
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Rapid City‐Scale Earthquake Assessment by Combining Numerical Simulation and Sparse Sensing
Earthquake Spectra, Volume 42, Issue 2, May 2026.This study proposes a framework to assess the seismic risk by integrating city‐scale numerical simulations with sensor data prediction. The study begins with advanced numerical simulations using two primary methods: the integrated earthquake simulator (IES) and the stochastic Green's function method.
Dongyang Tang +9 more
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Complexity, 2020 In this paper, we propose the local discontinuous Galerkin method based on the generalized alternating numerical flux for solving the one-dimensional second-order wave equation with the periodic boundary conditions.
Rongpei Zhang +3 more
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Well-Balanced High-Order Discontinuous Galerkin Methods for Systems of Balance Laws
Mathematics, 2021 This work introduces a general strategy to develop well-balanced high-order Discontinuous Galerkin (DG) numerical schemes for systems of balance laws.
Ernesto Guerrero Fernández +2 more
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 448-468, April 2026.The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault +6 more
wiley +1 more source