On Adaptive Unsymmetric Meshless Collocation

نویسندگان

  • Leevan Ling
  • Robert Schaback
چکیده

The set Λ consists of infinitely many linear real–valued functionals λ that usually take the form of point evaluations of functions or derivatives at points inside a domain or on some boundary or interface layer. If several differential or boundary operators are involved, we simply put everything into a single set Λ of functionals of various types. We call (1) a generalized interpolation problem. Discretization just consists in replacing the infinite set Λ by some finite unstructured subset {λ1, . . . ,λN}. The space spanned by these functionals can be called the test space. The trial space consists of a meshless space U of functions spanned by a basis {u1, . . . ,uM}, and then the discretized problem reads as

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تاریخ انتشار 2004