Solving 2-D Laplace Equation By Boundary Element Method With H-Matrix

Abstract

Hierarchical Matrices Uses A Data-Sparse Representation Of Fully Populated Matrices. In This Study We Solve 2-D Laplace Equation Using Boundary Element Method. The Di??��Erence Equation Resulting From Boundary Element Approximation Of A Problem Was A Full System Of Linear Equation. H-Matrices Used To Transform The Coe???Cient Matrix Resulting From Boundary Element Method Of 2-D Laplace Equation In To Sparse Matrix To Improved E???Ciency Of The Solution. Compare The Computational Times And Memory Usage Of The Original Matrix And The Sparse Matrix. Finally, Numerical Results Assess The E???Ciency Of The Method On 2-D Laplace Equation.