کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
498331 862987 2012 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Information-flux method: a meshfree maximum-entropy Petrov–Galerkin method including stabilised finite element methods
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Information-flux method: a meshfree maximum-entropy Petrov–Galerkin method including stabilised finite element methods
چکیده انگلیسی

An information-flux method incorporating a novel approach to stable methods is proposed. The method may be considered as a meshfree Petrov–Galerkin approximation scheme with basis functions based on the principle of maximum entropy. The two goals of accuracy and stability are distinctly assigned to solution and weighting functions, respectively. It is emphasised that stability can be ensured if the weighting functions are chosen such that they resemble the information flux of the underlying physical problem. In this study, the proposed method is applied to convection-dominated convection–diffusion problems. A seamless transition of the proposed method to stabilised finite element methods is demonstrated for increasing locality of the basis functions in one dimension; for lower localities, a superior convergence behaviour can be shown compared to stabilised finite elements. The method is presented and discussed for the general multi-dimensional case, with numerical results shown for one- and two-dimensional problems.


► We present a meshfree Petrov–Galerkin method for 2-D convection–diffusion problems.
► The basis functions are determined via a local maximum-entropy optimisation process.
► Weighting functions are selected independently, according to the underlying problem.
► The methods are stable if the weighting functions represent the information flux.
► We demonstrate a seamless transition to stabilised finite elements for 1-D problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volumes 241–244, 1 October 2012, Pages 225–237
نویسندگان
, , , ,