Advances in Meshless Methods and Their Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".
Deadline for manuscript submissions: 31 December 2026 | Viewed by 14
Special Issue Editors
Interests: meshless methods; computational fluid mechanics; numerical modeling; convection-dominated problems; upwind scheme; space-time coupled methods
Special Issues, Collections and Topics in MDPI journals
Interests: meshless methods; groundwater modeling; geographic information systems; machine learning; numerical modeling; deep learning; application of neural networks and learning system
Interests: meshless method; meshfree method; generalized finite difference method; computational hydraulics; inverse problems; marine and coastal engineering; method of fundamental solutions; method of approximate particular solutions; radial basis function; localized method of fundamental solutions
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
This Special Issue, entitled “Advances in Meshless Methods and Their Applications”, focuses on recent progress in the development and application of meshless methods. Over several decades of evolution, meshless approaches—including boundary-based, domain-based, and particle-based formulations, as well as strong-form, weak-form, space–time coupled, and meshless deep-learning-coupled frameworks—have become a well-established class of numerical techniques in computational mechanics and engineering. By discretizing the computational domain using only nodes and avoiding predefined mesh connectivity, these methods offer notable advantages for problems involving large deformations, complex geometries, and multiphysics interactions.
We invite submissions on topics including, but not limited to, applications in computational fluid and solid mechanics, impact and fracture dynamics, geophysical modeling, multiscale and nanomechanics, structural optimization, and biomedical engineering. Contributions addressing emerging applications in other scientific and engineering disciplines are also welcome. Both original research articles and comprehensive review papers are encouraged, aiming to advance meshless computational methodologies and to stimulate discussion on their future development.
Dr. Po-Wei Li
Dr. Chih-Yu Liu
Prof. Dr. Chia-Ming Fan
Guest Editors
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- meshless methods
- strong form methods
- method of fundamental solutions
- Trefftz method
- weak form methods
- particle-based methods
- hybrid meshless methods
- machine learning-augmented meshless methods
- multi-physics coupling
- computational fluid mechanics
- computational solid mechanics
- large deformation & fracture
- fluid-structure interaction
- inverse problems
- multi-scale modeling
- biomedical engineering
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