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.