A variational scheme for hyperbolic obstacle problems

A variational scheme for hyperbolic obstacle problems

We consider an obstacle problem for (possibly non-local) wave equations, and we prove existence of weak solutions through a convex minimization approach based on a time discrete approximation scheme. We provide the corresponding numerical implementation and raise some open questions.

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Veröffentlicht in:Nonlinear analysis 2019-11, Vol.188, p.389-404
Hauptverfasser: Bonafini, M., Novaga, M., Orlandi, G.
Format: Artikel
Sprache:eng
Schlagworte:
Hyperbolic obstacle problem
Minimizing movements
Non-local wave equation
Wave equations
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Beschreibung
Zusammenfassung:We consider an obstacle problem for (possibly non-local) wave equations, and we prove existence of weak solutions through a convex minimization approach based on a time discrete approximation scheme. We provide the corresponding numerical implementation and raise some open questions.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2019.06.008