@Article{CMR-34-278,
author = {Wu , Hao},
title = {Exponential Convergence of Finite-Dimensional Approximations to Linear Bond-Based Peridynamic Boundary Value Problems},
journal = {Communications in Mathematical Research },
year = {2019},
volume = {34},
number = {3},
pages = {278--288},
abstract = {
In this paper, we demonstrate that the finite-dimensional approximations
to the solutions of a linear bond-based peridynamic boundary value problem
converge to the exact solution exponentially with the analyticity assumption of the
forcing term, therefore greatly improve the convergence rate derived in literature.
},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2018.03.09},
url = {http://global-sci.org/intro/article_detail/cmr/13494.html}
}
TY - JOUR
T1 - Exponential Convergence of Finite-Dimensional Approximations to Linear Bond-Based Peridynamic Boundary Value Problems
AU - Wu , Hao
JO - Communications in Mathematical Research
VL - 3
SP - 278
EP - 288
PY - 2019
DA - 2019/12
SN - 34
DO - http://doi.org/10.13447/j.1674-5647.2018.03.09
UR - https://global-sci.org/intro/article_detail/cmr/13494.html
KW - Peridynamics, exponential convergence, nonlocal boundary value problem,
analytic function, finite-dimensional approximation
AB -
In this paper, we demonstrate that the finite-dimensional approximations
to the solutions of a linear bond-based peridynamic boundary value problem
converge to the exact solution exponentially with the analyticity assumption of the
forcing term, therefore greatly improve the convergence rate derived in literature.
Hao Wu. (2019). Exponential Convergence of Finite-Dimensional Approximations to Linear Bond-Based Peridynamic Boundary Value Problems.
Communications in Mathematical Research . 34 (3).
278-288.
doi:10.13447/j.1674-5647.2018.03.09
