@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.
Wu , Hao. (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
