Exponential Convergence of Finite-Dimensional Approximations to Linear Bond-Based Peridynamic Boundary Value Problems
Year: 2018
Author: Hao Wu
Communications in Mathematical Research , Vol. 34 (2018), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2018.03.09
Communications in Mathematical Research , Vol. 34 (2018), Iss. 3 : pp. 278–288
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Peridynamics exponential convergence nonlocal boundary value problem analytic function finite-dimensional approximation