کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
499961 863067 2007 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new discretization methodology for diffusion problems on generalized polyhedral meshes
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A new discretization methodology for diffusion problems on generalized polyhedral meshes
چکیده انگلیسی

We develop a family of inexpensive discretization schemes for diffusion problems on generalized polyhedral meshes with elements having non-planar faces. The material properties are described by a full tensor. We also prove superconvergence for the scalar (pressure) variable under very general assumptions. The theoretical results are confirmed with numerical experiments. In the practically important case of logically cubic meshes with randomly perturbed nodes, the mixed finite element with the lowest order Raviart–Thomas elements does not converge while the proposed mimetic method has the optimal convergence rate.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 196, Issues 37–40, 1 August 2007, Pages 3682–3692
نویسندگان
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