Results 91 to 100 of about 52,764 (220)
International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.ABSTRACT In this article, we propose a novel numerical framework for the non‐isothermal Cahn–Hilliard–Navier–Stokes two‐phase flow system, which couples the incompressible Navier–Stokes equations, the Cahn–Hilliard phase‐field equation, and the heat transport equation to capture temperature‐dependent two‐phase flow dynamics.
Guang‐An Zou +4 more
wiley +1 more source
Global Existence for Stochastic Strongly Dissipative Zakharov Equations
Advances in Mathematical Physics, 2020 The stochastic strongly dissipative Zakharov equations with white noise are studied. On the basis of the time uniform a priori estimates, we prove the existence and uniqueness of solutions in energy spaces E1 and E2, by using the standard Galerkin ...
Xueqin Wang, Yadong Shang, Chunlin Lei
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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
Existence of solutions for quasilinear parabolic equations with nonlocal boundary conditions
Electronic Journal of Differential Equations, 2011 We prove the existence of a generalized solution a quasilinear parabolic equation with nonlocal boundary conditions, using the Faedo-Galerkin approximation.
Baili Chen
doaj
On fully discrete Galerkin approximations for the Cahn‐Hilliard equation
Mathematical Modelling and Analysis, 2004 Standard Galerkin approximations, using smooth splines to solutions of the nonlinear evolutionary Cahn‐Hilliard equation are analysed. The existence, uniqueness and convergence of the fully discrete Crank‐Nicolson scheme are discussed.
K. Omrani
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 492-509, April 2026.This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley +1 more source
A Parallelized 3D Geomechanical Solver for Fluid‐Induced Fault Slip in Poroelastic Media
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 5, Page 2570-2586, 10 April 2026.ABSTRACT We present a fully implicit formulation of coupled fluid flow and geomechanics for fluid injection/withdrawal in fractured reservoirs in the context of CO2$\textrm {CO}_2$ storage. Utilizing a Galerkin finite‐element approach, both flow and poroelasticity equations are discretized on a shared three‐dimensional mesh.
Emil Rinatovich Gallyamov +4 more
wiley +1 more source
A new mixed discontinuous Galerkin method for the electrostatic field
Advances in Difference Equations, 2019 We introduce and analyze a new mixed discontinuous Galerkin method for approximation of an electric field. We carry out its error analysis and prove an error estimate that is optimal in the mesh size.
Abdelhamid Zaghdani, Mohamed Ezzat
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Compressive Space-Time Galerkin Discretizations of Parabolic Partial Differential Equations [PDF]
, 2015 We study linear parabolic initial-value problems in a space-time variational formulation based on fractional calculus. This formulation uses "time derivatives of order one half" on the bi-infinite time axis.
Larsson, Stig, Schwab, Christoph
core +1 more source
Low-dimensional galerkin approximations of nonlinear delay differential equations
Discrete and Continuous Dynamical Systems, 2016 6 figures and 1 ...
Wang, Shouhong +3 more
openaire +5 more sources