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Error analysis of the reproducing kernel particle method
- Source :
- Computer Methods in Applied Mechanics and Engineering. 190:6157-6181
- Publication Year :
- 2001
- Publisher :
- Elsevier BV, 2001.
-
Abstract
- Interest in meshfree (or meshless) methods has grown rapidly in recent years in solving boundary value problems (BVPs) arising in mechanics, especially in dealing with difficult problems involving large deformation, moving discontinuities, etc. In this paper, we provide a theoretical analysis of the reproducing kernel particle method (RKPM), which belongs to the family of meshfree methods. One goal of the paper is to set up a framework for error estimates of RKPM. We introduce the concept of a regular family of particle distributions and derive optimal order error estimates for RKP interpolants on a regular family of particle distributions. The interpolation error estimates can be used to yield error estimates for RKP solutions of BVPs.
- Subjects :
- Mathematical optimization
Mechanical Engineering
Computational Mechanics
General Physics and Astronomy
Particle method
Classification of discontinuities
Computer Science Applications
Set (abstract data type)
Kernel method
Mechanics of Materials
Error analysis
Kernel (statistics)
Applied mathematics
Meshfree methods
Boundary value problem
Mathematics
Subjects
Details
- ISSN :
- 00457825
- Volume :
- 190
- Database :
- OpenAIRE
- Journal :
- Computer Methods in Applied Mechanics and Engineering
- Accession number :
- edsair.doi...........fc47900e4cb6d9fb572edb47a65de412
- Full Text :
- https://doi.org/10.1016/s0045-7825(01)00214-6