Results 51 to 60 of about 1,675 (160)
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
Natural superconvergence points in three-dimensional finite elements
, 2008 A systematic and analytic process is conducted to identify natural superconvergence points of high degree polynomial C0 finite elements in a three-dimensional setting.
Zhang, Zhimin, Lin, Runchang
core +1 more source
Superconvergence of mixed covolume method for elliptic problems on triangular grids [PDF]
, 2008 In this paper, we consider the superconvergence of a mixed covolume method on the quasi-uniform triangular grids for the variable coefficient-matrix Poisson equations.
Bi, Chunjia
core +1 more source
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
On a Superconvergence Result for Mixed Approximation of Eigenvalue Problems
, 2006 We state a superconvergence result for the lowest order Raviart-Thomas approximation of eigenvalue problems. Numerical experiments confirm the superconvergence property and suggest that it holds also for the lowest order Brezzi-Douglas-Marini ...
GARDINI, FRANCESCA
core +1 more source
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
doaj +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
wiley +1 more source
Discontinuous Galerkin methods: exploiting superconvergence for improved time-stepping [PDF]
, 2017 The discontinuous Galerkin (DG) methods are one of the most extensively researched classes of numerical methods for solving partial dfferential equations that display convective or diffusive qualities and have been popularly adopted by the scientific and
Frean, Daniel
core +4 more sources
Superconvergence of Mixed Finite Element Method with Bernstein Polynomials for Stokes Problem
AxiomsIn this paper, we employ interpolation and projection methodologies to establish a superconvergence outcome for the Stokes problem, as approximated by the mixed finite element method (FEM) utilizing Bernstein polynomial basis functions.
Lanyin Sun, Siya Wen, Ziwei Dong
doaj +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
doaj +1 more source