The Boundary Element method (BEM) and the meshless Local Boundary Integral Equation

In the present seminar the BEM and meshless LBIE methods for solving problems in linear elasticity, elastoplasticity, viscoelasticity and Navier - Stokes equations are presented in brief. The constitutive differential equations and the corresponding integral representations are addressed. Moreover we explain the treatment of terms involving possible non-linearities, time derivatives and the numerical implementation. Finally, we solve representative examples that demonstrate the accuracy and efficiency of the aforementioned methods and discuss the numerical results.