Results 61 to 70 of about 11,311,249 (292)
A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley +1 more source
Boundary Value Problems, 2019 We propose to implement the mortar spectral elements discretization of the heat equation in a bounded two-dimensional domain with a piecewise continuous diffusion coefficient. The discretization on time is based on the Euler implicit method.
Mohamed Abdelwahed, Nejmeddine Chorfi
doaj +1 more source
Drawing Euler Diagrams with Circles [PDF]
, 2010 Euler diagrams are a popular and intuitive visualization tool which are used in a wide variety of application areas, including biological and medical data analysis.
Howse, John +7 more
core +1 more source
Deep Underground Science and Engineering, EarlyView.For the roof of coral reef limestone caverns, a novel tension‐shear composite failure mechanism was developed. The most critical tensile crack model was identified using a hybrid optimization algorithm, and the stability of the cavern roof was analyzed accordingly.
Dongsheng Xu, Chenxu Li, Chuantan Hou
wiley +1 more source
上海师范大学学报. 自然科学版, 2016 We consider the stability and asymptotic stability of a class of nonlinear delay differential-algebraic equations and of the implicit Euler methods.Some sufficient conditions for the stability and asymptotic stability of the equations are given.These ...
JIANG Lanlan, JIN Xiangying, SUN Leping
doaj +1 more source
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
Deep Underground Science and Engineering, EarlyView.This study assesses whether a saline aquifer in the German North Sea can sustain industrial‐scale CO2 injection at 10 Mt/year over 30 years. A 3D reservoir model is used to compare static capacity with dynamically achievable storage. The work links site‐scale injection strategy design with basin‐scale pressure response, providing a framework for ...
Firdovsi Gasanzade, Sebastian Bauer
wiley +1 more source
Exact Computation of the Color Function for Triangular Element Interfaces
International Journal for Numerical Methods in Fluids, EarlyView.We propose a robust algorithm, the Front2VOF algorithm, to compute the color function for triangular element interfaces in Front‐Tracking methods on a Cartesian mesh. ABSTRACT The calculation of the volume enclosed by curved surfaces discretized into triangular elements and a cube is of great importance in different domains, such as computer graphics ...
Jieyun Pan +8 more
wiley +1 more source
International Journal of Differential EquationsThis study investigates the numerical solution of two-dimensional parabolic convection–diffusion–reaction (CDR) equations with variable coefficients using the finite difference method (FDM) and the finite element method (FEM).
Endalew Getnet Tsega
doaj +1 more source
Mathematical Modelling and Analysis, 2013 A preconditioned iterative solution method is presented for nonlinear parabolic transport systems. The ingredients are implicit Euler discretization in time and finite element discretization in space, then an outer-inner (outer damped inexact Newton ...
Janos Karatson, Tamas Kurics
doaj +1 more source