کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
497696 862938 2015 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems
چکیده انگلیسی

We design a multiscale model reduction framework within the hybridizable discontinuous Galerkin finite element method. Our approach uses local snapshot spaces and local spectral decomposition following the concept of Generalized Multiscale Finite Element Methods. We propose several multiscale finite element spaces on the coarse edges that provide a reduced dimensional approximation for numerical traces within the HDG framework. We provide a general framework for systematic construction of multiscale trace spaces. Using local snapshots, we avoid high dimensional representation of trace spaces and use some local features of the solution space in constructing a low dimensional trace space. We investigate the solvability and numerically study the performance of the proposed method on a representative number of numerical examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 292, 1 August 2015, Pages 243–256
نویسندگان
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