Title :
A Meshless Local Boundary Integral Equation method for three dimensional scalar problems
Author :
Nicomedes, Williams L. ; Mesquita, Renato C. ; Moreira, Fernando J S
Author_Institution :
Fed. Univ. of Minas Gerais, Belo Horizonte, Brazil
Abstract :
In this work we apply a meshless method based on Local Boundary Integral Equations (LBIE) to find the solution to boundary value problems. We discretize the weak form through the use of special basis functions that, unlike the Finite Element Method (FEM), are not confined to an element and do not need the support of an underlying mesh. The approach developed can be applied to general 3D scalar boundary value problems that arise in areas such as electrostatics and acoustic scattering, among others.
Keywords :
boundary-value problems; integral equations; mesh generation; boundary value problems; finite element method; meshless local boundary integral equation; three dimensional scalar problems; Acoustic scattering; Boundary conditions; Boundary value problems; Electromagnetics; Electrostatics; Finite element methods; Integral equations; Matrices; Shape; Testing;
Conference_Titel :
Electromagnetic Field Computation (CEFC), 2010 14th Biennial IEEE Conference on
Conference_Location :
Chicago, IL
Print_ISBN :
978-1-4244-7059-4
DOI :
10.1109/CEFC.2010.5481467
