Some comparisons and analyses of time or space discontinuous Galerkin methods applied to elastic wave propagation in anisotropic and heterogeneous media [PDF]
Advanced Modeling and Simulation in Engineering Sciences, 2019 This research work presents some comparisons and analyses of the time discontinuous space–time Galerkin method and the space discontinuous Galerkin method applied to elastic wave propagation in anisotropic and heterogeneous media.
Bing Tie
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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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Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to α-Synuclein Spreading in Parkinson's Disease [PDF]
Computer Methods in Applied Mechanics and Engineering, 2023 This spreading of prion proteins is at the basis of brain neurodegeneration. This paper deals with the numerical modelling of the misfolding process of $\alpha$-synuclein in Parkinson's disease.
Mattia Corti +4 more
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Journal of Scientific Computing, 2022 We study weak solutions and its approximation of hyperbolic linear symmetric Friedrichs systems describing acoustic, elastic, or electro-magnetic waves.
D. Corallo, W. Dörfler, C. Wieners
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Local Randomized Neural Networks with Discontinuous Galerkin Methods for Diffusive-Viscous Wave Equation [PDF]
Computers and Mathematics with Applications, 2023 The diffusive-viscous wave equation is an advancement in wave equation theory, as it accounts for both diffusion and viscosity effects. This has a wide range of applications in geophysics, such as the attenuation of seismic waves in fluid-saturated ...
Jingbo Sun, Fei Wang
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A balanced algorithm of the hybrid large-particle method and its verification on some test problems [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2021 In series of numerical experiments involving the Shu-Osher problem of nonlinear acoustics and the Woodward-Colella problem of two interacted blast waves, the author studied the computational properties of a new algorithm for the hybrid large-particle ...
Dmitry V. Sadin
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High order cut discontinuous Galerkin methods for hyperbolic conservation laws in one space dimension [PDF]
SIAM Journal on Scientific Computing, 2021 In this paper, we develop a family of high order cut discontinuous Galerkin (DG) methods for hyperbolic conservation laws in one space dimension. The ghost penalty stabilization is used to stabilize the scheme for small cut elements.
Pei Fu, G. Kreiss
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Numerical modelling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods [PDF]
Journal of Computational Physics, 2023 We present and analyze a high-order discontinuous Galerkin method for the space discretization of the wave propagation model in thermo-poroelastic media. The proposed scheme supports general polytopal grids.
Stefano Bonetti +3 more
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Local Randomized Neural Networks with Discontinuous Galerkin Methods for Partial Differential Equations [PDF]
Journal of Computational and Applied Mathematics, 2022 Randomized neural networks (RNN) are a variation of neural networks in which the hidden-layer parameters are fixed to randomly assigned values and the output-layer parameters are obtained by solving a linear system by least squares.
Jingbo Sun, S. Dong, Fei Wang
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Modelling wave propagation in elastic solids via high-order accurate implicit-mesh discontinuous Galerkin methods [PDF]
Computer Methods in Applied Mechanics and Engineering, 2021 A high-order accurate implicit-mesh discontinuous Galerkin framework for wave propagation in single-phase and bi-phase solids is presented. The framework belongs to the embedded-boundary techniques and its novelty regards the spatial discretization ...
V. Gulizzi, R. Saye
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