Fast Algorithms for the Simulation of Human Knee Joint Motion

Corinna Klapproth, Anton Schiela, and Peter Deuflhard


simulation, human knee joint, adaptive algorithm


We present a fast numerical algorithm for simulating the motion of a human knee joint containing femur, tibia, and articulating cartilage. Combining a contact-stabilized Newmark method with an adaptive timestep control leads to a stable, accurate, and efficient numerical method. This space-time discretization allows realistic and fast predictions about stresses arising in a real patient's knee joint for different kinds of loading situations.

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