10 citations · 11 across the 6 of their papers we have counts for
6 papers
Convergence of Discontinuous Galerkin Methods for Quasiconvex and Relaxed Variational Problems
Georgios Grekas, Konstantinos Koumatos, Charalambos Makridakis +1
In this work, we establish that discontinuous Galerkin methods are capable of producing reliable approximations for a broad class of nonlinear variational problems. In particular,…
Quasistatic nonassociative plasticity at finite strains
Ulisse Stefanelli, Andreas Vikelis
We investigate finite-strain elastoplastic evolution in the nonassociative setting. The constitutive material model is formulated in variational terms and coupled with the quasista…
A class of Discontinuous Galerkin methods for nonlinear variational problems
Georgios Grekas, Konstantinos Koumatos, Charalambos Makridakis +1
In the context of Discontinuous Galerkin methods, we study approximations of nonlinear variational problems associated with convex energies. We propose element-wise nonconforming f…
Bilevel training schemes in imaging for total-variation-type functionals with convex integrands
Valerio Pagliari, Kostas Papafitsoros, Bogdan Raiţă +1
In the context of image processing, given a -th order, homogeneous and linear differential operator with constant coefficients, we study a class of variational problems whose re…
Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity
Myrto Galanopoulou, Konstantinos Koumatos, Andreas Vikelis
This article studies the equations of adiabatic thermoelasticity endowed with an internal energy satisfying an appropriate quasiconvexity assumption which is associated to the symm…
-quasiconvexity, Gårding inequalities and applications in PDE constrained problems in dynamics and statics
Konstantinos Koumatos, Andreas Vikelis
A Gårding-type inequality is proved for a quadratic form associated to -quasiconvex functions. This quadratic form appears as the relative entropy in the theory of con…