2 citations · 4 across the 7 of their papers we have counts for
10 papers
Optimizing the Principal Coefficient of Elliptic Equations using -regularity,
Ala' Alalabi, Lorena Bociu, Paul Manns
We study coefficient identification problems for elliptic partial differential equations with total variation regularization and control constraints. Existing related literature re…
Two-point boundary value problems for quasi-monotone dynamical systems
Lorena Bociu, Madhumita Roy, Khai T. Nguyen
This paper studies the existence of minimal solutions to two-point boundary value problems for quasi-monotone dynamical systems. Specifically, the pointwise infimum of all supersol…
Piecewise regular solutions to scalar balance laws with singular nonlocal sources
Lorena Bociu, Evangelia Ftaka, Khai T. Nguyen +1
The present paper establishes a local well-posed result for piecewise regular solutions with single shock of scalar balance laws with singular integral of convolution type kernels.…
Input Regularization for Integer Optimal Control in BV with Applications to Control of Poroelastic and Poroviscoelastic Systems
Lorena Bociu, Paul Manns, Marvin Severitt +1
We revisit a class of integer optimal control problems for which a trust-region method has been proposed and analyzed in arXiv:2106.13453v3 [math.OC]. While the algorithm proposed…
Mathematical Effects of Linear Visco-elasticity in Quasi-static Biot Models
Lorena Bociu, Boris Muha, Justin T. Webster
We investigate and clarify the mathematical properties of linear poro-elastic systems in the presence of classical (linear, Kelvin-Voigt) visco-elasticity. In particular, we quanti…
Weak Solutions in Nonlinear Poroelasticity with Incompressible Constituents
Lorena Bociu, Boris Muha, Justin T. Webster
We consider quasi-static poroelastic systems with incompressible constituents. The nonlinear permeability is taken to be dependent on solid dilation, and physical types of boundary…