Mathematical Problems in Engineering

Advanced Mesh-Based and Particle-Based Numerical Methods for Engineering and Applied Mathematics Problems


Publishing date
20 Jan 2017
Status
Published
Submission deadline
02 Sep 2016

Lead Editor

1Livermore Software Technology Corporation (LSTC), Livermore, USA

2Tongji University, Shanghai, China

3University Pierre et Marie Curie, Paris, France

4Hong Kong Baptist University, Kowloon, Hong Kong

5Osaka University, Osaka, Japan

6University of Bonn, Bonn, Germany


Advanced Mesh-Based and Particle-Based Numerical Methods for Engineering and Applied Mathematics Problems

Description

In the past decade, advanced mesh-based and particle-based numerical methods have been extensively developed and applied to many engineering and scientific problems. The development of those advanced numerical methods was motived by vastly different needs in engineering and scientific analyses. Among them, some methods have been developed to tackle down challenging industrial problems that are difficult to be solved by traditional numerical methods, while some developments were driven by simulating new applications in multitime, multiscale, and multiphysics problems. Those advanced numerical methods have emerged as a powerful tool to feasibly model the complex mathematical equations and provide precise prediction on how physical systems behave in real world applications.

The feasibility of an advanced numerical method also concerns the computational cost and computational complexity. Despite the advances of computing environments, the requirements of efficient computation, cost-effective memory, and stable solvability are critical to the success of an advanced numerical method in practice. This demands the developments of a corresponding high-level parallel algorithm together with specialized optimization in code and solver for specific applications.

The purpose for this special issue is to present the state-of-the-art and prospective directions on those advanced mesh-based and particle-based numerical methods from the research areas to computation and application fields for engineering and applied mathematical problems.

Potential topics include, but are not limited to:

  • Recent advances and new applications in mesh-based and particle-based numerical methods
  • Generalized and extended finite element methods (XFEM)
  • Mixed, hybrid, and discontinuous Galerkin methods
  • Boundary element methods
  • Galerkin and non-Galerkin mesh-free methods
  • Isogeometric analysis (IGA)
  • Numerical methods based on phase-field, peridynamics, or other nonlocal theories
  • Coupling and bridging techniques in multiscale and multiphysics computing
  • Algorithms and software for high performance computing

Articles

  • Special Issue
  • - Volume 2017
  • - Article ID 1273017
  • - Editorial

Advanced Mesh-Based and Particle-Based Numerical Methods for Engineering and Applied Mathematics Problems

Cheng-Tang Wu | Lihua Wang | ... | Marc A. Schweitzer
  • Special Issue
  • - Volume 2017
  • - Article ID 3453589
  • - Research Article

Multisensors Cooperative Detection Task Scheduling Algorithm Based on Hybrid Task Decomposition and MBPSO

Changyun Liu | Xiangke Guo | ... | Gang Wei
  • Special Issue
  • - Volume 2016
  • - Article ID 4968938
  • - Research Article

A Novel Multiobjective Quantum-Behaved Particle Swarm Optimization Based on the Ring Model

Di Zhou | Yajun Li | ... | Jun Wang
  • Special Issue
  • - Volume 2016
  • - Article ID 7632176
  • - Research Article

A Meshless Radial Basis Function Based on Partition of Unity Method for Piezoelectric Structures

Sen Li | Linquan Yao | ... | Wei Wang
  • Special Issue
  • - Volume 2016
  • - Article ID 4860143
  • - Research Article

Model Test Research on the End Bearing Behavior of the Large-Diameter Cast-in-Place Concrete Pile for Jointed Rock Mass

Jingwei Cai | Aiping Tang | ... | Shibo Tao
  • Special Issue
  • - Volume 2016
  • - Article ID 1485759
  • - Research Article

A New Method to Solve Numeric Solution of Nonlinear Dynamic System

Min Hu | Fengjun Li
  • Special Issue
  • - Volume 2016
  • - Article ID 9794605
  • - Research Article

The Application of Nonordinary, State-Based Peridynamic Theory on the Damage Process of the Rock-Like Materials

X. B. Gu | Q. H. Wu
  • Special Issue
  • - Volume 2016
  • - Article ID 3575380
  • - Research Article

An Efficient Approach for Real-Time Prediction of Rate of Penetration in Offshore Drilling

Xian Shi | Gang Liu | ... | Hongning Zhang
  • Special Issue
  • - Volume 2016
  • - Article ID 3436192
  • - Research Article

Using EVT for Geological Anomaly Design and Its Application in Identifying Anomalies in Mining Areas

Feilong Qin | Bingli Liu | Ke Guo
  • Special Issue
  • - Volume 2016
  • - Article ID 7672839
  • - Research Article

An Improved Ant Colony Algorithm for Solving the Path Planning Problem of the Omnidirectional Mobile Vehicle

Jiang Zhao | Dingding Cheng | Chongqing Hao
Mathematical Problems in Engineering
 Journal metrics
Acceptance rate28%
Submission to final decision76 days
Acceptance to publication39 days
CiteScore1.130
Impact Factor1.179
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