A parallel multilevel partition of unity method for elliptic partial differential equations
The numerical treatment of elliptic partial differential equations with meshfree discretizations is described. In particular, an efficient parallel implementation of the partition of unity method is presented. A general numerical integration scheme for the assembly of the stiffness matrix is developed. Detailed information on the parallel implementation of the multilevel solver on distributed memory computers is provided. Numerical results in 2D and 3D with linear, higher order and augmented approximation spaces with up to 42 million degrees of freedom are presented.
scientific article; zbMATH DE number 1878998