scholarly journals Dynamic boundary conditions as a singular limit of parabolic problems with terms concentrating at the boundary

2012 ◽  
Vol 9 (4) ◽  
pp. 341-368
Author(s):  
Ángela Jiménez-Casas ◽  
Aníbal Rodríguez-Bernal
Keyword(s):  
Boundary Conditions ◽  
Singular Limit ◽  
Parabolic Problems ◽  
Dynamic Boundary Conditions ◽  
Dynamic Boundary

scholarly journals Higher-order exponential integrators for constrained semi-linear parabolic problems

2020 ◽  
Vol 2 (1) ◽  
pp. 14-20
Author(s):  
Johannes Wiedemann
Keyword(s):  
Boundary Conditions ◽  
Nonlinear Dynamic ◽  
Order Of Convergence ◽  
Parabolic Systems ◽  
Higher Order ◽  
Parabolic Problems ◽  
Dynamic Boundary Conditions ◽  
Exponential Integrators ◽  
Dynamic Boundary

This paper provides an introduction to exponential integrators for constrained parabolic systems. In addition, building on existing results, schemes with an expected order of convergence of three and four are established and numerically tested on parabolic problems with nonlinear dynamic boundary conditions. The simulations reinforce the subjected error behaviour.

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