Exponential Convergence of Finite-Dimensional Approximations to Linear Bond-Based Peridynamic Boundary Value Problems

Authors

  • Hao Wu Department of Mathematics and Statistics, Auburn University, AL, 36830, US

DOI:

https://doi.org/10.13447/j.1674-5647.2018.03.09

Keywords:

Peridynamics, exponential convergence, nonlocal boundary value problem, analytic function, finite-dimensional approximation

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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Published

2019-12-17

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Issue

Vol. 34 No. 3 (2018)

Section

Articles

How to Cite

Exponential Convergence of Finite-Dimensional Approximations to Linear Bond-Based Peridynamic Boundary Value Problems. (2019). Communications in Mathematical Research, 34(3), 278-288. https://doi.org/10.13447/j.1674-5647.2018.03.09