engleski

Adaptive isogeometric analysis based on truncated hierarchical basis functions

Isogeometric analysis (IGA) represents a recently developed technology in computational mechanics that offers the possibility of integrating methods for numerical analysis and Computer Aided Design (CAD) of engineering problems into a single, unified process. Important part of isogeometric analysis is local refinement enabling construction of different adaptive procedures. In this paper we present adaptation using truncation mechanism to form a partition of unity and to decrease the overlapping of basis functions for better numerical conditioning. Using the idea of classical adaptive h-refinement (decreasing of compact support of basis functions in higher resolution levels) through Truncated Hierarchical B-spline (THBS) basis functions, we are developing more efficient higher order concept, adaptive k- refinement (h+p strategy which at the same time decreases compact support and increases order of basis functions at higher levels) through the Modified Hierarchical Fup (MHF) basis functions. Adaptive procedure use finite volume weak formulation enabling efficient modelling of advection-dispersion processes controlling numerical error.

h-p adaptation, hierarchical Fup basis functions, advection-dispersion, finite volumes

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