A. Patera

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math.NA2024

Certified Lumped Approximations for the Conduction Dunking Problem

Kento Kaneko, Claude Le Bris, Anthony T. Patera

We consider the dunking problem: a solid body at uniform temperature $T_{i}$ is placed in a environment characterized by farfield temperature $T_{\infty}$ and time-independent s…

math.NA2024

Error Estimators for the Small-Biot Lumped Approximation for the Conduction Dunking Problem

Kento Kaneko, Claude Le Bris, Anthony T. Patera

We consider the dunking problem: a solid body at uniform temperature $T_{i}$ is placed in a environment characterized by farfield temperature $T_{\infty}$ and spatially uniform…