Discontinuous Galerkin approximations in computational mechanics: hybridization, exact geometry and degree adaptivity

Discontinuous Galerkin (DG) discretizations with exact representation of the geometry and local polynomial degree adaptivity are revisited. Hybridization techniques are employed to reduce the computational cost of DG approximations and devise the hybridizable discontinuous Galerkin (HDG) method. Exa...

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Bibliographic Details
Published in:	SN applied sciences Vol. 1; no. 9; p. 1047
Main Authors:	Giacomini, Matteo, Sevilla, Ruben
Format:	Journal Article Publication
Language:	English
Published:	Cham Springer International Publishing 01.09.2019 Springer Nature B.V Springer
Subjects:	Anàlisi numèrica Applied and Technical Physics Approximation B spline functions Chemistry/Food Science Computational mechanics Computer applications Computing costs Degree adaptivity Earth Sciences Electrostatic properties Electrostatics Engineering Engineering: Adaptive Model Environment Exact geometry Face-centered fnite volume Finite element method Fluid flow Fluid-structure interaction Galerkin method Galerkin methods Galerkin, Mètodes de Hybridizable discontinuous Galerkin Hybridization Incompressible flow Matemàtiques i estadística Materials Science Mathematical analysis Mathematical models Mesh and Resolution Techniques for Computationally-Demanding Problems in Simulation-Based Engineering Methods Mixed formulation Modelització matemàtica NURBS-enhanced fnite element Partial differential equations Polynomials Research Article Simulation Superconvergence Tensors Viscous flow Àrees temàtiques de la UPC NURBS-enhanced finite element Degree adaptivity Exact geometry Superconvergence Face-centered finite volume Mixed formulation Hybridizable discontinuous Galerkin
ISSN:	2523-3963, 2523-3971, 2523-3971
Online Access:	Get full text
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