A Meshless Local Boundary Integral Equation method for three dimensional scalar problems
Electromagnetic Field Computation（2010）
摘要
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.
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关键词
boundary-value problems,integral equations,mesh generation,boundary value problems,finite element method,meshless local boundary integral equation,three dimensional scalar problems,finite element methods,electrostatics,matrices,three dimensional,testing,boundary conditions,electromagnetics,boundary value problem,linear systems,shape
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