hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes By Andrea Cangiani
English | PDF,EPUB | 2017 | 133 Pages | ISBN : 3319676717 | 5.74 MB
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.