Rate of convergence of regularization procedures and finite element approximations for the total variation flow

DOI10.1007/s00211-005-0585-6zbMath1075.65114OpenAlexW1970734370MaRDI QIDQ1780605

Markus von Oehsen, Xiaobing Feng, Andreas Prohl

Publication date: 13 June 2005

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11850/32943

zbMATH Keywords

convergenceerror estimatesnumerical examplesfinite elementregularization proceduretotal variation flow

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (15)

Approximation Schemes for Materials with Discontinuities ⋮ Unconditional Stability of Semi-Implicit Discretizations of Singular Flows ⋮ Convergence analysis of primal-dual based methods for total variation minimization with finite element approximation ⋮ Numerical solution of a phase field model for polycrystallization processes in binary mixtures ⋮ Analysis of a fully-discrete, non-conforming approximation of evolution equations and applications ⋮ Almost classical solutions to the total variation flow ⋮ Crouzeix-Raviart approximation of the total variation on simplicial meshes ⋮ Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity ⋮ Rate of convergence of regularization procedures and finite element approximations for the total variation flow ⋮ Runge-Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity ⋮ Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems ⋮ Convergence of Fully Discrete Implicit and Semi-implicit Approximations of Singular Parabolic Equations ⋮ Analysis of Constants in Error Estimates for the Finite Element Approximation of Regularized Nonlinear Geometric Evolution Equations ⋮ A total variation diminishing interpolation operator and applications ⋮ Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications

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