Numerical approximation of probabilistically weak and strong solutions of the stochastic total variation flow
DOI10.1051/M2AN/2022089arXiv2205.01968OpenAlexW4309878679MaRDI QIDQ6041051
Ľubomír Baňas, Martin Ondreját
Publication date: 25 May 2023
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.01968
image processingfinite element approximationstochastic variational inequalitiesstochastic total variation flowtightness in BV spaces
Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Probabilistic measure theory (60A10) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Singular stochastic partial differential equations (60H17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise
- Sobolev, Besov and Nikolskii fractional spaces: Imbeddings and comparisons for vector valued spaces on an interval
- Stochastically forced compressible fluid flows
- Existence of strong solutions for Itô's stochastic equations via approximations
- Nonconforming discretizations of convex minimization problems and precise relations to mixed methods
- Convergent numerical approximation of the stochastic total variation flow
- On the stability of the $L^2$ projection in $H^1(\Omega)$
- Martingales in Banach Spaces
- The almost sure Skorokhod representation for subsequences in nonmetric spaces
- Analysis of total variation flow and its finite element approximations
- A Posteriori Estimates for the Stochastic Total Variation Flow
- The Mathematical Theory of Finite Element Methods
This page was built for publication: Numerical approximation of probabilistically weak and strong solutions of the stochastic total variation flow