Phase-adaptive basis functions for a multilevel finite element solution of the paraxial wave equation

1994 ◽  
Author(s):  
F. Schmidt
Keyword(s):  
Finite Element ◽  
Wave Equation ◽  
Basis Functions ◽  
Finite Element Solution ◽  
Element Solution ◽  
Paraxial Wave Equation

scholarly journals THE PHYSICAL BASIS OF THE MILD-SLOPE WAVE EQUATION

1984 ◽  
Vol 1 (19) ◽  
pp. 64 ◽  
Author(s):  
Lars Behrendt ◽  
Ivar G. Jonsson
Keyword(s):  
Finite Element ◽  
Wave Equation ◽  
Wave Energy ◽  
Finite Element Solution ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Element Solution ◽  
Full Understanding ◽  
Hybrid Finite Element ◽  
Separate Part

The mild-slope wave equation is derived "by demanding minimum in total wave energy. By demanding conservation of wave energy, two different functionals for the finite element solution of the mild-slope wave equation are constructed. The first functional is based on a finite/infinite element formulation, and the second one is "based on a hybrid finite element formulation. Both functionals are constructed in a straight-forward way that leads to a better physical understanding of the functionals and a full understanding of each separate part of them.

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