scholarly journals Numerical analysis of parabolic problems with dynamic boundary conditions

2016 ◽  
Vol 37 (1) ◽  
pp. 1-39 ◽  
Author(s):  
Balázs Kovács ◽  
Christian Lubich
Keyword(s):  
Numerical Analysis ◽  
Boundary Conditions ◽  
Parabolic Problems ◽  
Dynamic Boundary Conditions ◽  
Dynamic Boundary

Numerical Analysis and Measurement Results of a Window Sill

2014 ◽  
Vol 899 ◽  
pp. 147-150 ◽  
Author(s):  
Dušan Katunský ◽  
Marek Zozulák ◽  
Kristián Kondáš ◽  
Jozef Šimiček
Keyword(s):  
Numerical Analysis ◽  
Boundary Conditions ◽  
Experimental Measurement ◽  
Thermal Field ◽  
Construction Materials ◽  
Field Analysis ◽  
Dynamic Boundary Conditions ◽  
The Real ◽  
Dynamic Boundary ◽  
Measurement Results

Window sill of brick walls is one of the most critical places in a connection of two envelope types objectively. If there are the transparent and opaque parts present together, the connection is much more complicated. Different behavior of the construction materials in dynamic boundary conditions causes deformations of thermal field of the window sill detail. Numerical thermal field analysis verified by the experimental measurement in experimental outdoor chambers is used for recognize the real heat-air-moisture behavior in the various constructions.

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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