Results 61 to 70 of about 4,651 (187)
Error Analysis of a Pressure‐Correction Method With Explicit Time‐Stepping
International Journal for Numerical Methods in Fluids, Volume 97, Issue 10, Page 1363-1378, October 2025.We study explicit variants of this well‐established pressure‐correction scheme for solving the Navier–Stokes equations. Step 3 is replaced by an explicit time‐integration method. We give the complete error analysis for this scheme that allows for highly efficient implementations.
Utku Kaya, Thomas Richter
wiley +1 more source
A Model of Low-lying States in Strongly Interacting Electroweak Symmetry-Breaking Sector
, 1996 It is proposed that, in a strongly-interacting electroweak sector, besides the Goldstone bosons, the coexistence of a scalar state ($H$) and vector resonances such as $A_1$ [$I^G(J^P)=1^-(1^+$)], $V$ [$1^+(1^-)$] and $\omega_H^{}$ [$0^-(1^-)$] is ...
Han, T., Huang, Z., Hung, P. Q.
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Iterated Crank–Nicolson Method for Peridynamic Models
DynamicsIn this paper, we explore the iterated Crank–Nicolson (ICN) algorithm for the one-dimensional peridynamic model. The peridynamic equation of motion is an integro-differential equation that governs structural deformations such as fractures. The ICN method
Jinjie Liu +2 more
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Error estimates for a semidiscrete finite element method for fractional order parabolic equations
, 2012 We consider the initial boundary value problem for the homogeneous time-fractional diffusion equation $\partial^\alpha_t u - \De u =0$ ($0< \alpha < 1$) with initial condition $u(x,0)=v(x)$ and a homogeneous Dirichlet boundary condition in a bounded ...
Jin, Bangti, Lazarov, Raytcho, Zhou, Zhi
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 10, 30 May 2025.ABSTRACT This work presents a hybrid pressure face‐centred finite volume (FCFV) solver to simulate steady‐state incompressible Navier‐Stokes flows. The method leverages the robustness, in the incompressible limit, of the hybridisable discontinuous Galerkin paradigm for compressible and weakly compressible flows to derive the formulation of a novel, low‐
Matteo Giacomini +4 more
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 126, Issue 8, 30 April 2025.ABSTRACT This study develops a chemo‐damage‐mechanical coupled phase‐field method for modeling two‐dimensional and/or three‐dimensional hydrogen‐assisted transient dynamic cracking in metallic materials. In this method, hydrogen diffusion in solids is described by the evolution of bulk hydrogen concentration governed by the diffusion equation with an ...
Hui Li, Shanyong Wang
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An X‐FFT Solver for Two‐Dimensional Thermal Homogenization Problems
International Journal for Numerical Methods in Engineering, Volume 126, Issue 7, 15 April 2025.ABSTRACT We introduce an approach to computational homogenization which unites the accuracy of interface‐conforming finite elements (FEs) and the computational efficiency of methods based on the fast Fourier transform (FFT) for two‐dimensional thermal conductivity problems.
Flavia Gehrig, Matti Schneider
wiley +1 more source
Abstract and Applied Analysis, 2012 We present a linear backward Euler fully discrete finite volume method for the initial-boundary-value problem of purely longitudinal motion of a homogeneous bar and an give optimal order error estimates in L2 and H1 norms.
Ziwen Jiang, Deren Xie
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Interior a posteriori error estimates for time discrete approximations of parabolic problems [PDF]
, 2012 a posteriori error estimates for time discrete approximations ...
Charalambos Makridakis +3 more
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AxiomsIn our previous works, we developed the superconvergence of a nonconforming finite element method based on unfitted meshes for an elliptic interface problem and elliptic problem, respectively.
Xiaoxiao He
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