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20242026
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cs.CE2025

A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems

Leon Herrmann, Tim Bürchner, László Kudela +1

Dynamic optimization is currently limited by sensitivity computations that require information from full forward and adjoint wave fields. Since the forward and adjoint solutions ar…

cs.CE2025

Generalized eigenvalue stabilization for immersed explicit dynamics

Tim Bürchner, Lars Radtke, Sascha Eisenträger +4

Explicit time integration for immersed finite element discretizations severely suffers from the influence of poorly cut elements. In this contribution, we propose a generalized eig…

cs.CE2025

A CFL condition for the finite cell method

Tim Bürchner, Lars Radtke, Philipp Kopp

Immersed boundary finite element methods allow the user to bypass the potentially troublesome task of boundary-conforming mesh generation. When combined with explicit time integrat…

cs.CE2025

On the efficiency of explicit and semi-explicit immersed boundary finite element methods for wave propagation problems

Tim Bürchner, Lars Radtke, Philipp Kopp +3

Immersed boundary methods have attracted substantial interest in the last decades due to their potential for computations involving complex geometries. Often these cannot be effici…

cs.CE2024

Quantitative Comparison of the Total Focusing Method, Reverse Time Migration, and Full Waveform Inversion for Ultrasonic Imaging

Tim Bürchner, Simon Schmid, Lukas Bergbreiter +3

Phased array ultrasound is a widely used technique in non-destructive testing. Using piezoelectric elements as both sources and receivers provides a significant gain in information…