Results 71 to 80 of about 11,076,576 (211)

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
doaj   +1 more source

Stochastic Galerkin and Monte Carlo Methods for Parabolic Problems: Numerical Performance of Variational Matrix‐Free Approximations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor, Nils Margenberg, Markus Bause   +2 more
wiley   +1 more source

Computation of Trailing Edge Noise with a Discontinuous Galerkin Method [PDF]

, 2008
Trailing edge noise of a semi-infinite, thin, flat plate situated in low Mach number flow is computed in two spatial dimensions. The Acoustic Pertur- bation Equations (APE), which are employed as governing equations, are discretized via a ...
Bauer, Marcus
core  

Totally Volume Integral of Fluxes for Discontinuous Galerkin Method (TVI-DG) I-Unsteady Scalar One Dimensional Conservation Laws

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
doaj   +1 more source

Edge‐Based Discretizations on Triangulations in Any Dimension, With Special Attention to Four‐Dimensional Space

International Journal for Numerical Methods in Fluids, Volume 98, Issue 10, Page 1143-1164, October 2026.
This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro, David M. Williams, Hiroaki Nishikawa   +2 more
wiley   +1 more source

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
doaj   +1 more source

Machine‐Learning Enhanced Parametric Reynolds‐Averaged Navier‐Stokes Equations at the Full‐ and Reduced‐Order Levels

International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.
ABSTRACT In this contribution, we focus on the Reynolds‐averaged Navier‐Stokes (RANS) models and their exploitation to build reliable reduced‐order models to further accelerate predictions for real‐time applications and many‐query scenarios. Specifically, we investigate how machine learning can be employed to enhance the predictive capabilities of the ...
Davide Oberto, Maria Strazzullo, Stefano Berrone   +2 more
wiley   +1 more source

A High-Order Discontinuous Galerkin Method for Solving Preconditioned Euler Equations

Applied Sciences, 2022
A high-order discontinuous Galerkin (DG) method is presented for solving the preconditioned Euler equations with an explicit or implicit time marching scheme.
Huanqin Gao, Jiale Zhang, Hongquan Chen, Shengguan Xu, Xuesong Jia   +4 more
doaj   +1 more source

A Sequential Quadratic Numerical Optimization Technique to Compute Critical Flutter Speeds

International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.
ABSTRACT A stable sequential quadratic numerical optimization technique is proposed to compute critical flutter speeds without resorting to complex algebra. The solution of the traditional eigenproblem stated in the frequency domain, and whose complex conjugate eigenvalues provide insights on the stability of the dynamic aeroelastic response, is ...
Alfredo R. de Faria
wiley   +1 more source

An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations [PDF]

, 2008
In this article we propose a new symmetric version of the interior penalty discontinuous Galerkin finite element method for the numerical approximation of the compressible Navier-Stokes equations.
Houston, Paul, Hartmann, Ralf
core