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math.NA2020
Finite-difference-based simulation and adjoint optimization of gas networks
Sonja Hossbach, Mathias Lemke, Julius Reiss
The stable operation of gas networks is an important optimization target. While for this task commonly finite volume methods are used, we introduce a new finite difference approach…
math.NA2018
Mode-based derivation of adjoint equations - a lazy man's approach
Julius Reiss, Mathias Lemke, Jörn Sesterhenn
A method to calculate the adjoint solution for a large class of partial differential equations is discussed. It differs from the known continuous and discrete adjoint, including au…