Analysis of an XFEM Discretization for Stokes Interface Problems. - Matthias Kirchhart; Sven Groß; Arnold Reusken (SIAM J. Sci. Comput., 2016)

A splitting-free vorticity redistribution method. - Matthias Kirchhart; Shinnosuke Obi (J. Comput. Phys., 2017)

A Smooth Partition of Unity Finite Element Method for Vortex Particle Regularization. - Matthias Kirchhart; Shinnosuke Obi (SIAM J. Sci. Comput., 2017)

A Particle Method without Remeshing. - Matthias Kirchhart; Christian Rieger (CoRR, 2019)

Discrete Projections: A Step Towards Particle Methods on Bounded Domains without Remeshing. - Matthias Kirchhart; Christian Rieger (SIAM J. Sci. Comput., 2021)

Solidfmm: A highly optimised library of operations on the solid harmonics for use in fast multipole methods. - Matthias Kirchhart (CoRR, 2022)

Analytic integration of the Newton potential over cuboids and an application to fast multipole methods. - Matthias Kirchhart; Donat Weniger (J. Num. Math., 2022)

An interpolating particle method for the Vlasov-Poisson equation. - Rostislav-Paul Wilhelm; Matthias Kirchhart (J. Comput. Phys., 2023)

Fully-fused Multi-Layer Perceptrons on Intel Data Center GPUs. - Kai Yuan; Christoph Bauinger; Xiangyi Zhang; Pascal Baehr; Matthias Kirchhart; Darius Dabert; Adrien Tousnakhoff; Pierre Boudier; Michael Paulitsch (CoRR, 2024)

The Numerical Flow Iteration for the Vlasov-Poisson Equation. - Matthias Kirchhart; Rostislav-Paul Wilhelm (SIAM J. Sci. Comput., 2024)