Browsing by Author "Kumar, R."
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A C 0 interior penalty discontinuous Galerkin Method for fourth-order total variation flow. II: Existence and uniqueness
Kumar, R.; Hoppe, R.H.W.; Bhandari, C. (2019-02-25)We prove the existence and uniqueness of a solution of a C0 Interior Penalty Discontinuous Galerkin (C0 IPDG) method for the numerical solution of a fourth‐order total variation flow problem that has been developed in part ... -
A C0 interior penalty discontinuous Galerkin method for fourth‐order total variation flow I: Derivation of the method and numerical results
Kumar, R.; Hoppe, R.H.W.; Bhandari, C. (2019-02-23)We consider the numerical solution of a fourth‐order total variation flow problem representing surface relaxation below the roughening temperature. Based on a regularization and scaling of the nonlinear fourth‐order parabolic ... -
Control of distributed parameter systems modelled by parabolic variational inequalities of the obstacle type
Kumar, R.; Glowinski, R.; Jansson, J. (2019)We will investigate the numerical solution of the control problem modelled by parabolic variational inequalities. The general point of view adopted in this work has its roots in the work by R. Glowinski. The optimal control ...