scholarly journals A few symmetry results for nonlinear elliptic PDE on noncompact manifolds

2002 ◽  
Vol 19 (3) ◽  
pp. 313-342 ◽  
Author(s):  
Luı́s Almeida ◽  
Lucio Damascelli ◽  
Yuxin Ge
Keyword(s):  
Elliptic Pde ◽  
Noncompact Manifolds ◽  
Nonlinear Elliptic Pde ◽  
Nonlinear Elliptic

An Accelerated Method for Nonlinear Elliptic PDE

2016 ◽  
Vol 69 (2) ◽  
pp. 556-580 ◽  
Author(s):  
Hayden Schaeffer ◽  
Thomas Y. Hou
Keyword(s):  
Elliptic Pde ◽  
Nonlinear Elliptic Pde ◽  
Nonlinear Elliptic

scholarly journals Maximum Norm Analysis of a Nonmatching Grids Method for Nonlinear Elliptic PDES

2011 ◽  
Vol 2011 ◽  
pp. 1-18 ◽  
Author(s):  
A. Harbi ◽  
M. Boulbrachene
Keyword(s):  
Exact Solution ◽  
Finite Element ◽  
The Other ◽  
Maximum Norm ◽  
Elliptic Pdes ◽  
Elliptic Pde ◽  
Schwarz Alternating Method ◽  
Nonmatching Grids ◽  
Nonlinear Elliptic ◽  
Mutually Independent

We provide a maximum norm analysis of a finite element Schwarz alternating method for a nonlinear elliptic PDE on two overlapping subdomains with nonmatching grids. We consider a domain which is the union of two overlapping subdomains where each subdomain has its own independently generated grid. The two meshes being mutually independent on the overlap region, a triangle belonging to one triangulation does not necessarily belong to the other one. Under a Lipschitz asssumption on the nonlinearity, we establish, on each subdomain, an optimalL∞error estimate between the discrete Schwarz sequence and the exact solution of the PDE.

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