hp Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes is popular PDF and ePub book, written by Andrea Cangiani in 2017-11-27, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, hp Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes can be Read Online from any device for your convenience.

hp Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes Book PDF Summary

Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the numerical solution of partial differential equations. Their success is due to their extreme versatility in the design of the underlying meshes and local basis functions, while retaining key features of both (classical) finite element and finite volume methods. Somewhat surprisingly, DGFEMs on general tessellations consisting of polygonal (in 2D) or polyhedral (in 3D) element shapes have received little attention within the literature, despite the potential computational advantages. This volume introduces the basic principles of hp-version (i.e., locally varying mesh-size and polynomial order) DGFEMs over meshes consisting of polygonal or polyhedral element shapes, presents their error analysis, and includes an extensive collection of numerical experiments. The extreme flexibility provided by the locally variable elemen t-shapes, element-sizes, and element-orders is shown to deliver substantial computational gains in several practical scenarios.

Detail Book of hp Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes PDF

hp Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
  • Author : Andrea Cangiani
  • Release : 27 November 2017
  • Publisher : Springer
  • ISBN : 9783319676739
  • Genre : Mathematics
  • Total Page : 133 pages
  • Language : English
  • PDF File Size : 10,8 Mb

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