In this paper we recall a few basic definitions and results concerning the use of DG methods for elliptic problems. As examples we consider the Poisson problem and the linear elasticity problem. A hint on the nearly incompressible case is given, just to show one of the possible advantages of DG methods over continuous ones. At the end of the paper we recall some physical principles for linear elasticity problems, just to open the door towards possible new developments.

A Quick Tutorial on DG Methods for Elliptic Problems

F Brezzi;LD Marini
2014

Abstract

In this paper we recall a few basic definitions and results concerning the use of DG methods for elliptic problems. As examples we consider the Poisson problem and the linear elasticity problem. A hint on the nearly incompressible case is given, just to show one of the possible advantages of DG methods over continuous ones. At the end of the paper we recall some physical principles for linear elasticity problems, just to open the door towards possible new developments.
2014
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
Inglese
X. Feng et al.
Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations
1
24
978-3-319-01817-1
http://link.springer.com/chapter/10.1007/978-3-319-01818-8_1
Springer International Publishing
CH-6330 Cham (ZG)
SVIZZERA
Discontinuous Galerkin
Elliptic problems
Linear elasticity
2
02 Contributo in Volume::02.01 Contributo in volume (Capitolo o Saggio)
268
none
F. Brezzi;L.D. Marini
info:eu-repo/semantics/bookPart
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/260504
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