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pro vyhledávání: '"Vikelis, Andreas"'
In the context of Discontinuous Galerkin methods, we study approximations of nonlinear variational problems associated with convex energies. We propose element-wise nonconforming finite element methods to discretize the continuous minimisation proble
Externí odkaz:
http://arxiv.org/abs/2308.12891
In the context of image processing, given a $k$-th order, homogeneous and linear differential operator with constant coefficients, we study a class of variational problems whose regularizing terms depend on the operator. Precisely, the regularizers a
Externí odkaz:
http://arxiv.org/abs/2112.10682
This article studies the equations of adiabatic thermoelasticity endowed with an internal energy satisfying an appropriate quasiconvexity assumption which is associated to the symmetrisability condition for the system. A G{\aa}rding-type inequality f
Externí odkaz:
http://arxiv.org/abs/2109.15151
A G\r{a}rding-type inequality is proved for a quadratic form associated to $\mathcal{A}$-quasiconvex functions. This quadratic form appears as the relative entropy in the theory of conservation laws and it is related to the Weierstrass excess functio
Externí odkaz:
http://arxiv.org/abs/2005.12803
Publikováno v:
Communications in Partial Differential Equations. 47:1133-1175
This article studies the equations of adiabatic thermoelasticity endowed with an internal energy satisfying an appropriate quasiconvexity assumption which is associated to the symmetrisability condition for the system. A G{\aa}rding-type inequality f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69e13ba24139a7c085ada760c9655414
https://doi.org/10.1080/03605302.2022.2047725
https://doi.org/10.1080/03605302.2022.2047725
Autor:
Vikelis, Andreas
In this thesis we focus on questions of stability, existence and uniqueness for PDE con- strained problems in both dynamics and statics under appropriate convexity conditions. In the first part, we establish a Gårding-type inequality for quantities
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=core_ac_uk__::4e735f300669d39c0d2d0f954046a49c
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