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math.AP2024
New applications of Hadamard-in-the-mean inequalities to incompressible variational problems
Jonathan Bevan, Martin Kružík, Jan Valdman
Let be the Dirichlet energy of a map belonging to the Sobolev space and let be a subclass of whose m…
math.OC2024
On semismooth path-following method and uniformity of strong metric subregularity at/around the reference point
Tomáš Roubal, Jan Valdman
This paper investigates a path-following method inspired by the semismooth approach for solving algebraic inclusions, with a primary emphasis on the role of uniform subregulari…
cs.MS2024
Minimization of Nonlinear Energies in Python Using FEM and Automatic Differentiation Tools
Michal Béreš, Jan Valdman
This contribution examines the capabilities of the Python ecosystem to solve nonlinear energy minimization problems, with a particular focus on transitioning from traditional MATLA…