Results 51 to 60 of about 159 (136)

A Chemo‐Damage‐Mechanical Coupled Phase‐Field Model for Three‐Dimensional Hydrogen‐Assisted Dynamic Cracking

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

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

Superconvergence of a Nonconforming Interface Penalty Finite Element Method for Elliptic Interface Problems

Axioms
In 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

Natural superconvergence points for splines

CoRR
This paper develops a unified theory of natural superconvergence points for polynomial spline approximations to second-order elliptic problems. Beginning with the one-dimensional case, we establish that when a point $x_0$ is a local symmetric center of the partition, the numerical error $(u-u_h)^{(s)}(x_0)$ exhibits superconvergence whenever the ...
Peng Yang, Zhimin Zhang
openaire   +2 more sources

Pan‐Variant SARS‐CoV‐2 Vaccines Induce Protective Immunity by Targeting Conserved Epitopes

Advanced Science, Volume 12, Issue 16, April 24, 2025.
An integrative approach identifies conserved B‐cell and T‐cell epitopes within SARS‐CoV‐2 proteins, redirecting immune responses from variable to conserved regions. These epitopes elicit robust humoral and cellular immunity, neutralizing diverse viral variants. Promiscuous T‐cell epitopes demonstrate cross‐species efficacy, highlighting their potential
Masaud Shah, Sung Ung Moon, Ji‐Yon Shin, Ji‐Hye Choi, Doyoon Kim, Hyun Goo Woo   +5 more
wiley   +1 more source

Superconvergence of Mixed Finite Element Method with Bernstein Polynomials for Stokes Problem

Axioms
In 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

The Backward Euler Fully Discrete Finite Volume Method for the Problem of Purely Longitudinal Motion of a Homogeneous Bar

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

On the Superconvergence of Galerkin Methods for Hyperbolic IBVP [PDF]

SIAM Journal on Numerical Analysis, 1996
The authors prove superconvergence of the finite element Galerkin method using \(B\)-splines for hyperbolic initial-boundary value problems (IBVP). Error estimates are also presented. Finally, numerical experiments are performed for illustration.
Gottlieb, David, Gustafsson, Bertil, Olsson, Pelle, Strand, Bo   +3 more
openaire   +2 more sources

Convergence of Damped Polarization Schemes for the FFT‐Based Computational Homogenization of Inelastic Media With Pores

International Journal for Numerical Methods in Engineering, Volume 126, Issue 3, 15 February 2025.
ABSTRACT Porous microstructures represent a challenge for the convergence of FFT‐based computational homogenization methods. In this contribution, we show that the damped Eyre–Milton iteration is linearly convergent for a class of nonlinear composites with a regular set of pores, provided the damping factor is chosen between zero and unity.
Elodie Donval, Matti Schneider
wiley   +1 more source

A Class of Higher‐Order Collocation Scheme for the Integral Equation of the Convolution Type

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Auto convolution Volterra integral equations (ACVIEs) are the particular form of non‐standard integral equations arising in mathematical modeling processes and the computation of certain functions. In this paper, a novel class of multistep collocation methods (NM‐SCMs) is constructed in order to find a higher‐order method is constructed for the ...
M. Alsahlanee, P. Darania, S. Pishbin, Xian-Ming Gu   +3 more
wiley   +1 more source