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math.AP2023
On a Lack of Stability of Parametrized BV Solutions to Rate-Independent Systems with Non-Convex Energies and Discontinuous Loads
Merlin Andreia, Christian Meyer
We consider a rate-independent system with nonconvex energy under discontinuous external loading. The underlying space is finite dimensional and the loads are functions in $BV([0,T…
math.NA2023
Finite Element Approximation of Data-Driven Problems in Conductivity
Christian Meyer, Annika Müller
This paper is concerned with the finite element discretization of the data driven approach according to arXiv:1510.04232 for the solution of PDEs with a material law arising from m…