scholarly journals Regularization method for solving dual series equations involving heat equation with mixed boundary conditions

2019 ◽  
Vol 2 (7) ◽  
pp. 208-213
Author(s):  
Naser A. Hoshan
Keyword(s):  
Boundary Conditions ◽  
Heat Equation ◽  
Regularization Method ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Dual Series Equations

scholarly journals Strong convergence of discrete DG solutions of the heat equation

2016 ◽  
Vol 24 (4) ◽  
Author(s):  
Vivette Girault ◽  
Jizhou Li ◽  
Beatrice Rivière
Keyword(s):  
Weak Solution ◽  
Boundary Conditions ◽  
Heat Equation ◽  
Strong Convergence ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Methods ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Three Dimensions ◽  
Galerkin Methods

AbstractA convergence analysis to the weak solution is derived for interior penalty discontinuous Galerkin methods applied to the heat equation in two and three dimensions under general mixed boundary conditions. Strong convergence is established in the DG norm, as well as in the

scholarly journals On the strongly damped wave equation and the heat equation with mixed boundary conditions

2000 ◽  
Vol 5 (3) ◽  
pp. 175-189
Author(s):  
Aloisio F. Neves
Keyword(s):  
Wave Equation ◽  
Boundary Conditions ◽  
Heat Equation ◽  
Mixed Boundary ◽  
Strong Solutions ◽  
Mixed Boundary Conditions ◽  
Global Attractors ◽  
Damped Wave Equation ◽  
Strongly Damped Wave Equation ◽  
Strongly Damped

We study two one-dimensional equations: the strongly damped wave equation and the heat equation, both with mixed boundary conditions. We prove the existence of global strong solutions and the existence of compact global attractors for these equations in two different spaces.

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