Reproducing kernels for elliptic systems
โ Scribed by R.P Gilbert; R.J Weinacht
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 519 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
First we show that any hyperbolically harmonic (hyperharmonic) function in the unit ball B in n has a series expansion in hyperharmonic functions, and then we construct the kernel that reproduces hyperharmonic functions in some L 1 B space. We show that the same kernel also reproduces harmonic funct
We illustrate a relationship between reproducing kernel spaces and orthogonal polynomials via a general structure theorem. The Christofell-Darboux formula emerges as a limit case.
The explicit Reproducing Kernel Particle Method (RKPM) is presented and applied to the simulations of large deformation problems. RKPM is a meshless method which does not need a mesh structure in its formulation. Because of this mesh-free property, RKPM is able to simulate large deformation problems
Multiresolution analysis based on the reproducing kernel particle method (RKPM) is developed for computational ยฏuid dynamics. An algorithm incorporating multiple-scale adaptive reยฎnement is introduced. The concept of using a wavelet solution as an error indicator is also presented. A few representat