Adjoint modeling for Acoustic Inversion based on an Adjoint Parabolic Equation

2008 ◽  
Vol 123 (5) ◽  
pp. 3511-3511
Author(s):  
John S. Papadakis ◽  
Evangelia T. Flouri
Keyword(s):  
Parabolic Equation ◽  
Acoustic Inversion ◽  
Adjoint Modeling

Adjoint modeling for acoustic inversion

2004 ◽  
Vol 115 (2) ◽  
pp. 607-619 ◽  
Author(s):  
Paul Hursky ◽  
Michael B. Porter ◽  
B. D. Cornuelle ◽  
W. S. Hodgkiss ◽  
W. A. Kuperman
Keyword(s):  
Acoustic Inversion ◽  
Adjoint Modeling

Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition

2002 ◽  
Vol 7 (1) ◽  
pp. 93-104 ◽  
Author(s):  
Mifodijus Sapagovas
Keyword(s):  
Parabolic Equation ◽  
Parabolic Equations ◽  
Existence And Uniqueness ◽  
Nonlocal Condition ◽  
Nonlocal Conditions ◽  
Numerical Algorithms ◽  
Uniqueness Of The Solution

Numerous and different nonlocal conditions for the solvability of parabolic equations were researched in many articles and reports. The article presented analyzes such conditions imposed, and observes that the existence and uniqueness of the solution of parabolic equation is related mainly to ”smallness” of functions, involved in nonlocal conditions. As a consequence the hypothesis has been made, stating the assumptions on functions in nonlocal conditions are related to numerical algorithms of solving parabolic equations, and not to the parabolic equation itself.

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