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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,…
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…