Triangular wavelet based finite elements via multivalued scaling equations Conference Paper

abstract

• This paper develops a class of triangular finite elements based on L2(Rn) orthonormal compactly supported wavelets. As in the case of recently derived tensor product wavelet elements, the triangular elements are defined by deriving an algebraic eigenvalue problem characterizing the entries of the elemental matrices. These entries are uniquely defined by normalization conditions derived from the polynomial reproducing properties of the wavelet scaling functions. The work herein generalizes the development of the tensor-product wavelet elements in that the geometry of the triangular elemental domain is characterized using a multivalued scaling equation. The multivalued scaling function is used to represent the self-similar tiling of Rnonto itself by triangular domains.

authors

• Pilant, Michael

author list (cited authors)

• Ko, J., Kurdila, A. J., & Pilant, M. S.

complete list of authors

• Ko, J||Kurdila, AJ||Pilant, MS

publication date

• January 1995

published in

• Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference  Journal

start page

• 986

end page

• 995

volume

• 2