2 citations · 4 across the 24 of their papers we have counts for
4 papers · 1 filter
Numerical approximation of variational problems with orthotropic growth
Anna Kh. Balci, Lars Diening, Abner J. Salgado
We consider the numerical approximation of variational problems with orthotropic growth, that is those where the integrand depends strongly on the coordinate directions with possib…
The linear elasticity system under singular forces
Alejandro Allendes, Gilberto Campaña, Enrique Otárola +1
We study the linear elasticity system subject to singular forces. We show existence and uniqueness of solutions in two frameworks: weighted Sobolev spaces, where the weight belongs…
Pointwise gradient estimate of the ritz projection
Lars Diening, Julian Rolfes, Abner J. Salgado
Let be a convex polytope (). The Ritz projection is the best approximation, in the -norm, to a given function in a finite element space…
On the Optimal Control of a Linear Peridynamics Model
Tadele Mengesha, Abner J. Salgado, Joshua M. Siktar
We study a non-local optimal control problem involving a linear, bond-based peridynamics model. In addition to existence and uniqueness of solutions to our problem, we investigate…