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Enriched Reproducing Kernel Approximation: Reproducing Functions With Discontinuous Derivatives
- Source :
- Scopus-Elsevier, Meshfree Methods for Partial Differential Equations II. Lecture Notes in Computational Science and Engineering, M. Griebel; M. Schweitzer. Meshfree Methods for Partial Differential Equations II. Lecture Notes in Computational Science and Engineering, 43, 2005, ⟨10.1007/3-540-27099-X_6⟩, Meshfree Methods for Partial Differential Equations II ISBN: 9783540230267, Meshfree Methods for Partial Differential Equations II, Meshfree Methods for Partial Differential Equations II, 43 (3), Springer, pp.93-107, 2005, Lecture Notes in Computational Science and Engineering book series, ⟨10.1007/3-540-27099-X_6⟩, Griebel, Michael; Schweitzer, Marc Alexander. Meshfree Methods for Partial Differential Equations II, Lecture Notes in Computational Science and Engineering, pp.93-108, 2004, 43, ISBN: 3-540-23026-2
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Abstract
- International audience; In this paper we propose a new approximation technique within the context of meshless methods able to reproduce functions with discontinuous derivatives. This approach involves some concepts of the reproducing kernel particle method (RKPM), which have been extended in order to reproduce functions with discon-tinuous derivatives. This strategy will be referred as Enriched Reproducing Kernel Particle Approximation (E-RKPA). The accuracy of the proposed technique will be compared with standard RKP approximations (which only reproduces polynomials).
- Subjects :
- [SPI.OTHER]Engineering Sciences [physics]/Other
meshless methods
enriched approximation
Mathematical analysis
Particle method
Context (language use)
Moment matrix
02 engineering and technology
Kernel approximation
[SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]
[SPI.MECA] Engineering Sciences [physics]/Mechanics [physics.med-ph]
01 natural sciences
reproducing kernel particle method
[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the structures [physics.class-ph]
010101 applied mathematics
020303 mechanical engineering & transports
0203 mechanical engineering
Kernel (statistics)
Meshfree methods
0101 mathematics
discontinuous derivatives
Mathematics
Subjects
Details
- ISBN :
- 978-3-540-23026-7
3-540-23026-2 - ISBNs :
- 9783540230267 and 3540230262
- Database :
- OpenAIRE
- Journal :
- Scopus-Elsevier, Meshfree Methods for Partial Differential Equations II. Lecture Notes in Computational Science and Engineering, M. Griebel; M. Schweitzer. Meshfree Methods for Partial Differential Equations II. Lecture Notes in Computational Science and Engineering, 43, 2005, ⟨10.1007/3-540-27099-X_6⟩, Meshfree Methods for Partial Differential Equations II ISBN: 9783540230267, Meshfree Methods for Partial Differential Equations II, Meshfree Methods for Partial Differential Equations II, 43 (3), Springer, pp.93-107, 2005, Lecture Notes in Computational Science and Engineering book series, ⟨10.1007/3-540-27099-X_6⟩, Griebel, Michael; Schweitzer, Marc Alexander. Meshfree Methods for Partial Differential Equations II, Lecture Notes in Computational Science and Engineering, pp.93-108, 2004, 43, ISBN: 3-540-23026-2
- Accession number :
- edsair.doi.dedup.....75fadd5448de2aafe3c404f54c191dcf
- Full Text :
- https://doi.org/10.1007/3-540-27099-X_6⟩