A numerical method based on the discrete morse semiflow related to parabolic and hyperbolic equation

DOI10.1016/S0362-546X(97)00397-0zbMath0892.65037OpenAlexW2086235272WikidataQ127976538 ScholiaQ127976538MaRDI QIDQ4374159

Seiro Omata

Publication date: 15 July 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00397-0

zbMATH Keywords

minimization problemfree boundary problemdiscrete Morse semiflowparabolic and hyperbolic problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Variational methods applied to PDEs (35A15) Free boundary problems for PDEs (35R35) Discrete approximations in optimal control (49M25)

Related Items (9)

Unnamed Item ⋮ A construction of a Lipschitz continuous minimizer of a free boundary problem ⋮ A variational approach to a constrained hyperbolic free boundary problem ⋮ Variational approach to evolutionary free boundary problems ⋮ Modeling and computation of fluid-membrane interaction ⋮ Convergence of the approximation scheme to American option pricing via the discrete Morse semiflow ⋮ Mathematical modelling of surface vibration with volume constraint and its analysis ⋮ A variational scheme for hyperbolic obstacle problems ⋮ On the obstacle problem for fractional semilinear wave equations

Cites Work

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• Numerical computations for motion of vortices governed by a hyperbolic Ginzburg-Landau system
• Numerical analysis for the discrete Morse semiflow related to the Ginzburg–Landau functional

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