Section: New Results

The boundary element method in FreeFEM

The BemTool and HTOOL libraries developed by the team, implementing respectively the Boundary Element Method and Hierarchical Matrices, have been interfaced with FreeFEM to allow FreeFEM users to use the Boundary Element Method (BEM) in their FreeFEM scripts. New additions to the Domain Specific Language (DSL) of FreeFEM allows the user to define and manipulate curved (1D) and surface (2D) meshes, as well as define and solve BEM variational problems in a high-level manner, similarly to FEM problems. The parallelization of the HTOOL library allows the user to assemble and solve their BEM problems in parallel in a transparent way.

Ongoing work consists in finalizing the BEM DSL to propose complete and documented features to the FreeFEM user in the next release, as well as investigating FEM-BEM coupling.