scholarly journals High-order Discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes

2018 ◽  
Vol 342 ◽  
pp. 414-437 ◽  
Author(s):  
P.F. Antonietti ◽  
I. Mazzieri
Keyword(s):  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Methods ◽  
High Order ◽  
Galerkin Methods ◽  
Polyhedral Meshes

High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation

2016 ◽  
Vol 8 (4) ◽  
pp. 693-702
Author(s):  
Hongqiang Lu ◽  
Kai Cao ◽  
Lechao Bian ◽  
Yizhao Wu
Keyword(s):  
Finite Element Method ◽  
Discontinuous Galerkin ◽  
Mesh Generation ◽  
Discontinuous Galerkin Methods ◽  
Elasticity Modulus ◽  
High Order ◽  
Galerkin Methods ◽  
Governing Equations ◽  
Numerical Tests ◽  
Cubic Polynomial

AbstractIn this paper, a high-order curved mesh generation method for Discontinuous Galerkin methods is introduced. First, a regular mesh is generated. Second, the solid surface is re-constructed using cubic polynomial. Third, the elastic governing equations are solved using high-order finite element method to provide a fully or partly curved grid. Numerical tests indicate that the intersection between element boundaries can be avoided by carefully defining the elasticity modulus.

High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation

2015 ◽  
Vol 71 (1) ◽  
pp. 181-206 ◽  
Author(s):  
Paola F. Antonietti ◽  
Carlo Marcati ◽  
Ilario Mazzieri ◽  
Alfio Quarteroni
Keyword(s):  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Methods ◽  
High Order ◽  
Galerkin Methods
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