scholarly journals Analysis of a Space-Time Discretization for Dynamic Elasticity Problems Based on Mass-Free Surface Elements

2009 ◽  
Vol 47 (3) ◽  
pp. 1863-1885 ◽  
Author(s):  
C. Hager ◽  
B. I. Wohlmuth
Keyword(s):  
Free Surface ◽  
Time Discretization ◽  
Space Time ◽  
Dynamic Elasticity ◽  
Elasticity Problems

scholarly journals Evaluation of the stiffness matrix in static and dynamic elasticity problems

2017 ◽  
Vol 229 (1) ◽  
pp. 363-388 ◽  
Author(s):  
Eric Li ◽  
Z. C. He ◽  
G. R. Liu
Keyword(s):  
Stiffness Matrix ◽  
Dynamic Elasticity ◽  
Elasticity Problems

A stabilized space-time discretization for the primitive equations in oceanography

2004 ◽  
Vol 98 (3) ◽  
pp. 427-475 ◽  
Author(s):  
T. Chacón Rebollo ◽  
D. Rodríguez Gómez
Keyword(s):  
Time Discretization ◽  
Space Time ◽  
Primitive Equations

scholarly journals Stability of Galerkin discretizations of a mixed space–time variational formulation of parabolic evolution equations

2020 ◽  
Author(s):  
Rob Stevenson ◽  
Jan Westerdiep
Keyword(s):  
Finite Element ◽  
Variational Formulation ◽  
Evolution Equations ◽  
Time Discretization ◽  
Space Time ◽  
Parabolic Problems ◽  
Related Space ◽  
Parabolic Evolution Equations ◽  
Numer Anal ◽  
Well Posed

Abstract We analyze Galerkin discretizations of a new well-posed mixed space–time variational formulation of parabolic partial differential equations. For suitable pairs of finite element trial spaces, the resulting Galerkin operators are shown to be uniformly stable. The method is compared to two related space–time discretization methods introduced by Andreev (2013, Stability of sparse space-time finite element discretizations of linear parabolic evolution equations. IMA J. Numer. Anal., 33, 242–260) and by Steinbach (2015, Space-time finite element methods for parabolic problems. Comput. Methods Appl. Math., 15, 551–566).

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