کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
762809 896711 2011 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Domain decomposition operator splitting for mimetic finite difference discretizations of non-stationary problems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Domain decomposition operator splitting for mimetic finite difference discretizations of non-stationary problems
چکیده انگلیسی

In this paper, we propose reliable and efficient numerical methods for solving semilinear, time-dependent partial differential equations of reaction–diffusion type. The original problem is first integrated in time by using a linearly implicit fractional step Runge–Kutta method. This method takes advantage of a suitable partitioning of the diffusion operator based on domain decomposition techniques. The resulting semidiscrete problem is fully discretized by means of a mimetic finite difference method on quadrilateral meshes. Due to the previous splitting, the totally discrete scheme can be reduced to a set of uncoupled linear systems which can be solved in parallel. The overall algorithm is unconditionally stable and second-order convergent in both time and space. These properties are confirmed by numerical experiments.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Fluids - Volume 46, Issue 1, July 2011, Pages 398–403
نویسندگان
, , ,