A Steepest Descent Method for the Approximation of the Boundary Control in Two-Phase Stefan Problem
Neittaanmäki, P., & Tiba, D. (1987). A Steepest Descent Method for the Approximation of the Boundary Control in Two-Phase Stefan Problem Mathematica - Revue d'analyse numérique et de théorie de l'approximation, 29 (2), 157-167.
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Neittaanmäki, Pekka; Tiba, D. (Polish Academy of Sciences, 1987)The paper is concerned with boundary control of two-phase Stefan problems. A construction of optimal solutions, based on exploiting regularization techniques, is presented. Results of some numerical experiments are discussed.
Guarino Lo Bianco, Serena; La Manna, Domenico Angelo; Velichkov, Bozhidar (Les Éditions de l'École polytechnique, 2021)We study for the first time a two-phase free boundary problem in which the solution satisfies a Robin boundary condition. We consider the case in which the solution is continuous across the free boundary and we prove an ...
Neittaanmäki, Pekka; Tiba, Dan (Birkhäuser, 1991)We give a new approach to state constrained control problems associated to non-degenerate nonlinear parabolic equations of Stefan type. We obtain uniform estimates for the violation of the constraints.
On the convergence of the finite element approximation of eigenfrequencies and eigenvectors to Maxwell's boundary value problem Neittaanmäki, Pekka; Picard, Rainer (Suomalainen tiedeakatemia, 1981)
Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey (Springer International Publishing, 2018)The paper is concerned with reliable space-time IgA schemes for parabolic initial-boundary value problems. We deduce a posteriori error estimates and investigate their applicability to space-time IgA approximations. ...