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An algebraic approach to the HBMG method for unstructured grids
Author(s) -
Bank Randolph E.,
Gutsch Sabine
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19980781506
Subject(s) - interpolation (computer graphics) , consistency (knowledge bases) , algebraic number , construct (python library) , mathematics , set (abstract data type) , convection–diffusion equation , basis (linear algebra) , grid , basis function , algebraic equation , diffusion , computer science , mathematical analysis , discrete mathematics , geometry , physics , programming language , animation , computer graphics (images) , nonlinear system , quantum mechanics , thermodynamics
We will cast some of the previously introduced interpolation coefficients for the construction of hierarchical basis functions into an algebraic formulation of the HBMG method. Furthermore we construct a new set of coefficients that fulfills a consistency condition which results in a better approximation of smooth functions. We provide numerical examples for the convection dominated convection‐diffusion equation on uniformly as well as adaptively refined grids.