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math.NA2026
Information geometric regularization for computing sensitivities of flows with shocks
Florian Schäfer
Computing (adjoint) sensitivities of flows with shocks is a longstanding problem in computational fluid dynamics. The spurious sensitivities due to shock sensors and limiters frequ…
math.NA2026
Discontinuous Galerkin Semidiscretization of the Information Geometric Regularized Compressible Euler Equations
Brook Eyob, Jesus Arias, Spencer H. Bryngelson +1
Shock stabilization in compressible Euler flows remains a central challenge for high-order numerical methods. Existing shock-capturing approaches, including limiters, artificial vi…
math.NA2023
Information geometric regularization of the barotropic Euler equation
Ruijia Cao, Florian Schäfer
Shock waves in gas dynamics feature jump discontinuities that hinder numerical simulations. Viscous regularizations are prone to excessive dissipation of fine-scale structures. In…