Student, who passed the course satisfactorily will be able to:

• explain the fundamental concepts of weighted residual methods including Galerkin and collocation techniques

• apply the boundary element method (BEM) to solve Laplace and Poisson equations in engineering/mathematical problems

• implement the dual reciprocity boundary element method (DRBEM) for converting domain integrals into equivalent boundary-only formulations

• construct boundary integral formulations for given partial differential equations using appropriate fundamental solutions

• develop and test computer codes for the numerical implementation of BEM and DRBEM

• evaluate the accuracy and convergence of BEM/DRBEM solutions through benchmark problems

• interpret physical meaning and mathematical properties of boundary-only formulations in comparison to domain-based numerical methods