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Local discontinuous Galerkin method for solving an N‐carrier system
Authors:Rongpei Zhang  Xijun Yu  Guozhong Zhao
Institution:1. School of Sciences, Liaoning Shihua University, Fushun 113001, China;2. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
Abstract:In this article, we present local discontinuous Galerkin (LDG) method for solving a model of energy exchanges in an N ‐carrier system with Neumann boundary conditions. This model extends the concept of the well‐known parabolic two‐step model for microheat transfer to the energy exchanges in a generalized N ‐carrier system with heat sources. The energy norm stability and error estimate of the LDG method is proved for solving N ‐carrier system. Some numerical examples are given. The numerical results when compared with the exact solution and other numerical results indicate that the present method is seen to be a very good alternative to some existing techniques for realistic problems. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2011
Keywords:error estimates  local discontinuous Galerkin  N ‐carrier system  stability
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