Error estimates for the Galerkin method as applied to time-dependent equations

2009 ◽  
Vol 49 (9) ◽  
pp. 1567-1575 ◽  
Author(s):  
P. V. Vinogradova ◽  
A. G. Zarubin
Keyword(s):  
Galerkin Method ◽  
Error Estimates ◽  
Time Dependent ◽  
The Galerkin Method

scholarly journals Convergence of Non-autonomous Attractors for Subquintic Weakly Damped Wave Equation

2021 ◽  
Author(s):  
Jakub Banaśkiewicz ◽  
Piotr Kalita
Keyword(s):  
Wave Equation ◽  
Galerkin Method ◽  
Growth Condition ◽  
Global Attractor ◽  
Time Dependent ◽  
Strichartz Estimates ◽  
Damped Wave Equation ◽  
Independent Function ◽  
The Galerkin Method

AbstractWe study the non-autonomous weakly damped wave equation with subquintic growth condition on the nonlinearity. Our main focus is the class of Shatah–Struwe solutions, which satisfy the Strichartz estimates and coincide with the class of solutions obtained by the Galerkin method. For this class we show the existence and smoothness of pullback, uniform, and cocycle attractors and the relations between them. We also prove that these non-autonomous attractors converge upper-semicontinuously to the global attractor for the limit autonomous problem if the time-dependent nonlinearity tends to a time independent function in an appropriate way.

scholarly journals On spectral approximation. Part 2. Error estimates for the Galerkin method

1978 ◽  
Vol 12 (2) ◽  
pp. 113-119 ◽  
Author(s):  
Jean Descloux ◽  
Nabil Nassif ◽  
Jacques Rappaz
Keyword(s):  
Galerkin Method ◽  
Error Estimates ◽  
Spectral Approximation ◽  
The Galerkin Method

Non-Newtonian oscillatory layer flow, approximate solution

1979 ◽  
Vol 44 (10) ◽  
pp. 2908-2914 ◽  
Author(s):  
Ondřej Wein
Keyword(s):  
Boundary Layer ◽  
Approximate Solution ◽  
Galerkin Method ◽  
Horizontal Plane ◽  
Oscillatory Flow ◽  
Oscillatory Boundary Layer ◽  
Layer Flow ◽  
Pseudoplastic Liquid ◽  
The Galerkin Method

The problem of the oscillatory flow of pseudoplastic liquid in vicinity of the infinitely long horizontal plane is formulated in stresses. For Re i.e. for conditions of oscillatory boundary layer the problem is solved approximately by the Galerkin method.

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