Analytical and numerical studies for solving Steklov eigenproblems by using the boundary integral equation method/boundary element method

2020 ◽  
Vol 114 ◽  
pp. 136-147
Author(s):  
Jeng-Tzong Chen ◽  
Jia-Wei Lee ◽  
Kuen-Ting Lien
Keyword(s):  
Integral Equation ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Boundary Integral Equation ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Boundary Integral Equation Method ◽  
Equation Method ◽  
Numerical Studies ◽  
Element Method

A Boundary Element Free Implementation Using NGF to Solve Fracture Mechanics Applications

2008 ◽  
Vol 383 ◽  
pp. 85-96 ◽  
Author(s):  
L.S. Miers ◽  
J.C.F. Telles
Keyword(s):  
Integral Equation ◽  
Fracture Mechanics ◽  
Boundary Element ◽  
Boundary Integral Equation ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Boundary Integral Equation Method ◽  
Equation Method ◽  
Local Boundary Integral Equation ◽  
Element Free

This work aims at introducing the concept of the numerical Green’s function (NGF) idea for elastostatic fracture mechanics using the boundary element-free method (BEFM). Unlike the local boundary integral equation method (LBIE), the BEFM only requires boundary interpolation. This method derives from the coupling of the boundary integral equation method and the orthogonal moving least-squares approximation scheme (OMLS). OMLS differs from standard MLS by using an orthogonal basis instead of only a linear independent one, which increases its accuracy and efficiency. Some illustrative examples are included in the end.

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