Evaluating the effects of nonlocality and numerical discretization in peridynamic solutions for quasi-static elasticity and fracture
The difference between the computational peridynamic results and the corresponding exact
classical solutions is contributed by the error induced by numerical discretization and the …
classical solutions is contributed by the error induced by numerical discretization and the …
A fast-convolution based space–time Chebyshev spectral method for peridynamic models
Peridynamics is a nonlocal generalization of continuum mechanics theory which addresses
discontinuous problems without using partial derivatives and replacing them by an integral …
discontinuous problems without using partial derivatives and replacing them by an integral …
Dispersive effects in two-and three-dimensional peridynamics
In this paper we study the dispersive properties related to a model of peridynamic evolution,
governed by a non local initial value problem, in the cases of two and three spatial …
governed by a non local initial value problem, in the cases of two and three spatial …
Dispersive effects in a scalar nonlocal wave equation inspired by peridynamics
We study the dispersive properties of a linear equation in one spatial dimension which is
inspired by models in peridynamics. The interplay between nonlocality and dispersion is …
inspired by models in peridynamics. The interplay between nonlocality and dispersion is …
Hölder estimates for viscosity solutions of nonlocal equations with variable-order fractional Laplace term
M Yang, J Zhao, H Zhang, Y Nie - Journal of Mathematical Analysis and …, 2024 - Elsevier
We consider a class of linear integro-differential equations with variable-order fractional
Laplacian. Under sharp assumptions on the variable-order α (x, y), we prove the local …
Laplacian. Under sharp assumptions on the variable-order α (x, y), we prove the local …
A spectral method for dispersive solutions of the nonlocal Sine-Gordon equation
Moved by the need for rigorous and reliable numerical tools for the analysis of peridynamic
materials, the authors propose a model able to capture the dispersive features of nonlocal …
materials, the authors propose a model able to capture the dispersive features of nonlocal …
Regularity and convergence results for nonlocal peridynamic equations with truncated tensor kernels
M Yang, Y Nie - Zeitschrift für angewandte Mathematik und Physik, 2023 - Springer
This paper is concerned with some properties of solutions for a two-dimensional linear
nonlocal peridynamic model involving a smooth truncated integrable tensor kernel. For the …
nonlocal peridynamic model involving a smooth truncated integrable tensor kernel. For the …
compactness criteria with an application to variational convergence of some nonlocal energy functionals
Motivated by some variational problems from a nonlocal model of mechanics, this work
presents a set of sufficient conditions that guarantee a compact inclusion in the function …
presents a set of sufficient conditions that guarantee a compact inclusion in the function …
[PDF][PDF] A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019
NHF Beebe - 2024 - ctan.math.utah.edu
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Page 1
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Nelson …
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Nelson …