Discontinuous Petrov-Galerkin Method for Steady Transport
March 28, 2011
3:30 p.m.
Victor Calo
Abstract
The objective of this work is to analyze and develop discontinuous Petrov-Galerkin (DPG) methods in context of isogeometric analysis. The DPG framework enables an automatic computation of test function spaces that guarantee numerical stability whereas isogeomtric analysis aims at the integration of engineering design and analysis processes. This is achieved by using the functions commonly used for geometry representation in Computer Aided Design (CAD) as a basis for numerical analysis.
The idea of the current study is to use B-splines as trail functions and invoke the Bezier extraction procedure to enable local computation of the optimal test function space. The framework is tested on some elementary fluid flow problems involving convection dominated diffusion.