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math.NA2024
Inviscid Burgers as a degenerate elliptic problem
Uditnarayan Kouskiya, Amit Acharya
We demonstrate the feasibility of a scheme to obtain approximate weak solutions to the (inviscid) Burgers equation in conservation and Hamilton-Jacobi form, treated as degenerate e…
math.NA2023★ 1 cited
Hidden convexity in the heat, linear transport, and Euler's rigid body equations: A computational approach
Uditnarayan Kouskiya, Amit Acharya
A finite element based computational scheme is developed and employed to assess a duality based variational approach to the solution of the linear heat and transport PDE in one spa…