I’m a doctoral researcher under the supervision of Prof. Marlis Hochbruck within the project on Time integration of Maxwell and wave-type equations of the CRC “Wave phenomena: analysis and numerics”.
Research interests
Construction, analysis and implementation of domain decomposition methods for wave equations.
Publications
* April 2026, Tim Buchholz and Julian Dörner. A discrete Saint-Venant principle for finite element discretizations of elliptic problems. [preprint]
* October 2025, Tim Buchholz and Marlis Hochbruck. A non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations for acoustic wave equations. T.b.p. in DD XXIX. [preprint].
* July 2025, Tim Buchholz and Marlis Hochbruck. A non-iterative domain decomposition time integrator for linear wave equations. T.b.p in Math. Comp. [preprint].
* July 2024, Tim Buchholz and Marlis Hochbruck. A non-iterative domain-decomposition integrator for the linear wave equation. In Waves 2024. [Link].