Boundary integral equation for tangential derivative of flux in Laplace and Helmholtz equations

2006 ◽  
Vol 66 (2) ◽  
pp. 334-363 ◽  
Author(s):  
R. Gallego ◽  
A. E. Martínez-Castro
Keyword(s):  
Integral Equation ◽  
Boundary Integral Equation ◽  
Boundary Integral ◽  
Helmholtz Equations ◽  
Tangential Derivative

Fast multipole accelerated boundary integral equation methods

2002 ◽  
Vol 55 (4) ◽  
pp. 299-324 ◽  
Author(s):  
N Nishimura
Keyword(s):  
Integral Equation ◽  
Wave Equation ◽  
Boundary Integral Equation ◽  
Fast Multipole Method ◽  
Integral Equation Method ◽  
Review Article ◽  
Boundary Integral ◽  
Fast Multipole ◽  
Helmholtz Equations ◽  
Integral Equation Methods

Fundamentals of Fast Multipole Method (FMM) and FMM accelerated Boundary Integral Equation Method (BIEM) are presented. Developments of FMM accelerated BIEM in the Laplace and Helmholtz equations, wave equation, and heat equation are reviewed. Applications of these methods in computational mechanics are surveyed. This review article contains 173 references.

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