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Cited by 420

The DOI matches its Crossref record; 61 of the 61 references it cites were found in a registry or an index.

Meshfree Methods: Progress Made after 20 Years

Chen, Jiun-Shyan, Hillman, Michael, Chi, Sheng-Wei·2017·Journal of Engineering Mechanics

Abstract

In the past two decades, meshfree methods have emerged into a new class of computational methods with considerable success. In addition, a significant amount of progress has been made in addressing the major shortcomings that were present in these methods at the early stages of their development. For instance, essential boundary conditions are almost trivial to enforce by employing the techniques now available, and the need for high order quadrature has been circumvented with the development of advanced techniques, essentially eliminating the previously existing bottleneck of computational expense in meshfree methods. Given the proper treatment, nodal integration can be made accurate and free of spatial instability, making it possible to eliminate the need for a mesh entirely. Meshfree collocation methods have also undergone significant development, which also offer a truly meshfree solution. This paper gives an overview of many classes of meshfree methods and their applications, and several advances are described in detail.

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Metadata

Authors
Chen, J.-S., Hillman, M., & Chi, S.-W.
Venue
Journal of Engineering Mechanics
Published
2017-04
Volume
143
Issue
4
ISSN
  • 0733-9399 (ISSN-L)
  • 1943-7889
OpenAlex
W2575332931
Cited by
420
References
61
FWCI
23.51
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Meshfree Methods: Progress Made after 20 Years. https://app.cochat.ai/papers/10.1061/(asce)em.1943-7889.0001176
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Chen, J.-S., Hillman, M., & Chi, S.-W. (2017). Meshfree Methods: Progress Made after 20 Years. Journal of Engineering Mechanics. https://doi.org/10.1061/(asce)em.1943-7889.0001176

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