【摘要】 采用有限体积元方法来解决一维热传导型半导体器件数值模型,将分段线性函数和分段常数函数分别作为有限体积元方法的试探函数和检验函数,构造了半导体器件模型的全离散有限体积元逼近格式和计算程序.并进行理论分析,得到了最优阶H1-模误差估计.更多还原

【Abstract】 A finite volume element approximation is derived and studied for one-dimensional semiconductor device simulation. The main purpose is to develop a general framework for finite volume element approximation of the semiconductor problems and to study the error analysis. The finite volume element method is considered under a piecewise linear trial function space and a piecewise constant test function space. An optimal error estimate in the H1-norm is giren.更多还原