Results 71 to 80 of about 121,260 (302)
AIMS Mathematics, 2016 A high-order Symmetric Interior Penalty discontinuous Galerkin (SIPG) method has been used for solving the incompressible Navier-Stokes equation. We apply the temporal splitting scheme in time and the SIPG discretization in space with the local Lax ...
Lunji Song, Charles O’Neill
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Adaptive discontinuous Galerkin methods on surfaces [PDF]
Numerische Mathematik, 2015 26 pages, 11 figures.
Andreas Dedner, Pravin Madhavan
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An online generalized multiscale discontinuous Galerkin method (GMsDGM) for flows in heterogeneous media [PDF]
, 2015 Offline computation is an essential component in most multiscale model reduction techniques. However, there are multiscale problems in which offline procedure is insufficient to give accurate representations of solutions, due to the fact that offline ...
Eric T. Chung, Y. Efendiev, W. Leung
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Biotechnology and Bioengineering, Volume 122, Issue 8, Page 2179-2192, August 2025.The DP‐SOL hybrid modeling framework was employed to model the reversed‐phase chromatographic purification of oligonucleotides. By combining differentiable physics and neural networks at the solver level, DP‐SOL outperforms traditional mechanistic models in prediction accuracy, captures complex process dynamics and offers a robust approach for ...
Yu‐Cheng Chen +3 more
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مجلة المختار للعلوم, 2017 The volume integral of Riemann flux in the discontinuous Galerkin (DG) method is introduced in this paper. The boundaries integrals of the fluxes (Riemann flux) are transformed into volume integral.
Ibrahim. M. Rustum, ElHadi. I. Elhadi
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Advanced Numerical Methods for Graphene Simulation with Equivalent Boundary Conditions: A Review
Photonics, 2023 Since the discovery of graphene, due to its excellent optical, thermal, mechanical and electrical properties, it has a broad application prospect in energy, materials, biomedicine, electromagnetism and other fields.
Yansheng Gong, Na Liu
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A discontinuous Galerkin method with a modified penalty flux for the propagation and scattering of acousto-elastic waves [PDF]
, 2015 We develop an approach for simulating acousto-elastic wave phenomena, including scattering from fluid-solid boundaries, where the solid is allowed to be anisotropic, with the Discontinuous Galerkin method.
Ruichao Ye +4 more
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International Journal for Numerical Methods in Fluids, Volume 97, Issue 8, Page 1093-1103, August 2025.In this article, we derive a non‐hydrostatic extension to the SWE to solve bottom‐generated waves along with its pressure relation. This relation is built on a linear vertical velocity assumption, leading us to a quadratic pressure profile, where we alternatively write it so that we can solve it by a projection method without ambiguity due to the ...
Kemal Firdaus, Jörn Behrens
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Reduced Order Modelling of Shigesada-Kawasaki-Teramoto Cross-Diffusion Systems
Journal of Mathematical Sciences and Modelling, 2023 Shigesada-Kawasaki-Teramoto (SKT) is the most known equation in population ecology for nonlinear cross-diffusion systems. The full order model (FOM) of the SKT system is constructed using symmetric interior penalty discontinuous Galerkin method (SIPG ...
Gülden Mülayim
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Viscosity in discontinuous Galerkin methods [PDF]
PAMM, 2007 AbstractThe Discontinuous Galerkin (DG) discretisation technique proposes a higher order alternative to current state of the art Finite Volume (FV) methods of second order accuracy in space. DG features higher order on unstructured grids without reconstruction, highly local data access patterns and excellent parallelisation properties.
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