کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642306 1341338 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Parameter estimation in convection dominated nonlinear convection–diffusion problems by the relaxation method and the adjoint equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Parameter estimation in convection dominated nonlinear convection–diffusion problems by the relaxation method and the adjoint equation
چکیده انگلیسی

The development of numerical methods for strongly nonlinear convection–diffusion problems with dominant convection is an ongoing topic in numerical analysis. For inverse problems in this setting, there is a need of fast and accurate solvers. Here, we present operator splitting with a Riemann solver for the convective part and a relaxation method for the diffusive part, as a means to achieve this goal. Combined with the adjoint equation method this allows us to solve inverse problems within reasonable time frames and with modest computing power. As an example, the dual-well experiment is considered and the adjoint method is compared with a conjugate gradient algorithm and a Levenberg–Marquardt type of iteration method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 215, Issue 2, 1 June 2008, Pages 477–483
نویسندگان
, ,