Asymptotical convergence evaluation for a parabolic problem arising in circuit theory
Marinov, C. A., Neittaanmäki, P. (1990). Asymptotical convergence evaluation for a parabolic problem arising in circuit theory. ZAMM, 70 (8), 344-347. doi:10.1002/zamm.19900700821
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Marinov, Corneliu A.; Neittaanmäki, Pekka; Santanen, Jukka-Pekka (North-Holland, 1992)The modelling of the influence of interconnections on the delay time in MOS integrated circuits leads to a system of parabolic equations coupled by boundary conditions given in the form of the ordinary differential equation ...
del Teso, Félix; Manfredi, Juan J.; Parviainen, Mikko (De Gruyter, 2020)We provide a unified strategy to show that solutions of dynamic programming principles associated to the p-Laplacian converge to the solution of the corresponding Dirichlet problem. Our approach includes all previously ...
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. ...
Lukkari, Teemu; Parviainen, Mikko (American Institute of Mathematical Sciences, 2015)We prove that solutions to Cauchy problems related to the p-parabolic equations are stable with respect to the nonlinearity exponent p. More specifically, solutions with a fixed initial trace converge in an L q -space ...
Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika (Taylor & Francis Inc., 2016)This article is devoted to the a posteriori error analysis of multiharmonic finite element approximations to distributed optimal control problems with time-periodic state equations of parabolic type. We derive a posteriori ...