Welcome to NG-BEM#

NG-BEM implements boundary integral operators on top of NGSolve.

Currently it supports single-layer and double-layer operators and hypersingular operators for the

  • Laplace equation

  • Helmholtz equation

  • Maxwell equation

NG-BEM supports high order function spaces on curved surface meshes. It uses numerical integration following [Sauter-Schwab: Boundary Element Methods, 2009], and matrix compression based on the ACA algorithm [Bebendorf: Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems, 2008]

Installation:

  • Install a recent NGSolve (later than Feb. 10, 2024)

  • Install ngbem from github:

    git clone https://github.com/Weggler/ngbem.git
cd ngbem
mkdir build
cd build
cmake ..
make -j4 install

Try notebooks from the demos folder. You can read (only read) them directly on github: Weggler/ngbem