topic Fast Poisson solver with inner boundary conditions in Intel® oneAPI Math Kernel Library https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Fast-Poisson-solver-with-inner-boundary-conditions/m-p/1124199#M25138 <P>Dear all,</P> <P>I would like to calculate the potential due to a point charge in the proximities of a conducting cylinder. For this I started by calculating the potential due to the point charge alone using the Poisson solver implementation inside Intel MKL ( s_Helmholtz_3D subroutine, based on one of the examples of the MKL, see attached file).</P> <P>Now the problem is how to impose the boundary conditions (Dirichlet) due to the presence of the cylinder (V=0 in its surface if it is grounded). The system looks like the attached figure. Is there a way to impose the inner boundary conditions using the MKL Fast Poisson solver implementation?. If that is not possible, what approach would you recommend to tackle this problem?</P> <P>I have tried this problem with an iterative multi-grid solver, but it is painfully slow, therefore I am searching more efficient ways to solve this problem. I really appreciate your help!.</P> Thu, 14 Jul 2016 02:18:25 GMT Edgardo_Doerner 2016-07-14T02:18:25Z Fast Poisson solver with inner boundary conditions https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Fast-Poisson-solver-with-inner-boundary-conditions/m-p/1124199#M25138 <P>Dear all,</P> <P>I would like to calculate the potential due to a point charge in the proximities of a conducting cylinder. For this I started by calculating the potential due to the point charge alone using the Poisson solver implementation inside Intel MKL ( s_Helmholtz_3D subroutine, based on one of the examples of the MKL, see attached file).</P> <P>Now the problem is how to impose the boundary conditions (Dirichlet) due to the presence of the cylinder (V=0 in its surface if it is grounded). The system looks like the attached figure. Is there a way to impose the inner boundary conditions using the MKL Fast Poisson solver implementation?. If that is not possible, what approach would you recommend to tackle this problem?</P> <P>I have tried this problem with an iterative multi-grid solver, but it is painfully slow, therefore I am searching more efficient ways to solve this problem. I really appreciate your help!.</P> Thu, 14 Jul 2016 02:18:25 GMT https://community.intel.com/t5/Intel-oneAPI-Math-Kernel-Library/Fast-Poisson-solver-with-inner-boundary-conditions/m-p/1124199#M25138 Edgardo_Doerner 2016-07-14T02:18:25Z