Year: 2025
Type: article
Abstract: ABSTRACT We consider waveform iterations for dynamical coupled problems, or more specifically, PDEs that interact through a lower‐dimensional interface. We want to allow for the reuse of existing codes for the subproblems, called a partitioned approach. To improve computational efficiency, different and adaptive time steps in the subsolvers are advisable. Using so‐called waveform iterations in combination with relaxation, this has been achieved for heat transfer problems earlier. Alternatively, one can use a black box method like Quasi‐Newton to improve the convergence behavior. These methods have recently been combined with waveform iterations for fixed time steps. Here, we suggest an extension of the Quasi‐Newton method to the time‐adaptive setting and analyze its properties. We compare the proposed Quasi‐Newton method with state‐of‐the‐art solvers on a heat transfer test case and a complex mechanical Fluid‐Structure interaction case, demonstrating the method's efficiency.
DOI: 10.1002/nme.70063
Authors: Niklas Kotarsky, Philipp Birken
Institution: Lund University
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $4,250
OpenAlex ID: W4411320340