Trefftz method, domain decomposition and TH-collocation
Por:
Herrera I.
Publicada:
1 ene 1996
Resumen:
The author's Algebraic Theory of Boundary Value Problems has permitted systematizing Trefftz method and expanding its scope. The concept of TH-completeness has played a key role for such developments. A generalized version of Trefftz method, known as LAM (Localized Adjoint Method), has been quite successful in numerical applications. Here, the relations between these methods are discussed. Some implications on collocation procedures and domain decomposition methods, are analyzed. In particular, a non-standard collocation procedure - TH-collocation-, is described, whose interpolation properties are shown to be much superior to other numerical methods.
Filiaciones:
Herrera I.:
Universidad Nacional Autonoma de, Mexico, Mexico, Mexico
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