@Article{IJNAM-9-1, author = {}, title = {The Characteristic Finite Element Alternating-Direction Method with Moving Meshes for the Transient Behavior of a Semiconductor Device}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2012}, volume = {9}, number = {1}, pages = {86--104}, abstract = {

For the transient behavior of a semiconductor device, the modified method of characteristics finite element alternating-direction procedures with moving meshes are put forward. Some techniques, such as calculus of variations, operator-splitting, characteristic method, generalized $L^2$ projection, energy method, negative norm estimate and prior estimates and techniques are employed. Optimal order estimates in $L^2$ norm are derived for the error in the approximation solution. Thus the well-known theoretical problem has been thoroughly and completely solved.

}, issn = {2617-8710}, doi = {https://doi.org/2012-IJNAM-613}, url = {https://global-sci.com/article/83454/the-characteristic-finite-element-alternating-direction-method-with-moving-meshes-for-the-transient-behavior-of-a-semiconductor-device} }