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Alvaro de Diego Unanue, Gary Froyland, Oliver Junge and Péter Koltai SIAM Journal on Mathematical Analysis 57(2) 1725 (2025) https://doi.org/10.1137/24M1632528
Numerical approximation of probabilistically weak and strong solutions of the stochastic total variation flow
Total Generalized Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging
Lukas Baumgärtner, Ronny Bergmann, Roland Herzog, Stephan Schmidt and José Vidal-Núnez SIAM Journal on Imaging Sciences 16(1) 313 (2023) https://doi.org/10.1137/22M1505281
Design and convergence analysis of numerical methods for stochastic evolution equations with Leray–Lions operator
Convergent numerical approximation of the stochastic total variation flow
L’ubomír Baňas, Michael Röckner and André Wilke Stochastics and Partial Differential Equations: Analysis and Computations 9(2) 437 (2021) https://doi.org/10.1007/s40072-020-00169-4
The convergence of a numerical method for total variation flow
Galerkin method with splines for total variation minimization
Qianying Hong, Ming-Jun Lai, Leopold Matamba Messi and Jingyue Wang Journal of Algorithms & Computational Technology 13 (2019) https://doi.org/10.1177/1748301819833046
Discrete Total Variation with Finite Elements and Applications to Imaging
Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez and Gerd Wachsmuth Journal of Mathematical Imaging and Vision 61(4) 411 (2019) https://doi.org/10.1007/s10851-018-0852-7
Runge–Kutta Time Discretization of Nonlinear Parabolic Equations Studied via Discrete Maximal Parabolic Regularity
Discrete Total Variation Flows without Regularization
Sören Bartels, Ricardo H. Nochetto and Abner J. Salgado SIAM Journal on Numerical Analysis 52(1) 363 (2014) https://doi.org/10.1137/120901544
The 1-Harmonic Flow with Values into $\mathbb S^{1}$
Lorenzo Giacomelli, José M. Mazón and Salvador Moll SIAM Journal on Mathematical Analysis 45(3) 1723 (2013) https://doi.org/10.1137/12088402X
Level Set and PDE Based Reconstruction Methods in Imaging
Martin Burger and Stanley Osher Lecture Notes in Mathematics, Level Set and PDE Based Reconstruction Methods in Imaging 2090 1 (2013) https://doi.org/10.1007/978-3-319-01712-9_1
Total Variation Minimization with Finite Elements: Convergence and Iterative Solution
Projection Schemes for Fluid Flows through a Porous Interface
Alfonso Caiazzo, Miguel A. Fernández, Jean-Frédéric Gerbeau and Vincent Martin SIAM Journal on Scientific Computing 33(2) 541 (2011) https://doi.org/10.1137/100788124
Asymptotic Expansion for the Solutions of Control Constrained Semilinear Elliptic Problems with Interior Penalties
J. Frédéric Bonnans and Francisco J. Silva SIAM Journal on Control and Optimization 49(6) 2494 (2011) https://doi.org/10.1137/090778602
Colour, texture, and motion in level set based segmentation and tracking
Carsten Ebmeyer and Jens Vogelgesang Lecture Notes in Earth Sciences, Landform - Structure, Evolution, Process Control 115 53 (2009) https://doi.org/10.1007/978-3-540-75761-0_4
Some Convergence Results for Howard's Algorithm
Olivier Bokanowski, Stefania Maroso and Hasnaa Zidani SIAM Journal on Numerical Analysis 47(4) 3001 (2009) https://doi.org/10.1137/08073041X
A Finite Element Method Based on Weighted Interior Penalties for Heterogeneous Incompressible Flows
Coupling Discontinuous Galerkin and Mixed Finite Element Discretizations using Mortar Finite Elements
Vivette Girault, Shuyu Sun, Mary F. Wheeler and Ivan Yotov SIAM Journal on Numerical Analysis 46(2) 949 (2008) https://doi.org/10.1137/060671620
Onp-Harmonic Map Heat Flows for $1\leqp<\infty$ and Their Finite Element Approximations
John W. Barrett, Xiaobing Feng and Andreas Prohl SIAM Journal on Mathematical Analysis 40(4) 1471 (2008) https://doi.org/10.1137/070680825
Electrical Impedance Tomography by Elastic Deformation
H. Ammari, E. Bonnetier, Y. Capdeboscq, M. Tanter and M. Fink SIAM Journal on Applied Mathematics 68(6) 1557 (2008) https://doi.org/10.1137/070686408
Finite element approximation of a forward and backward anisotropic diffusion model in image denoising and form generalization
Carsten Ebmeyer and Jens Vogelgesang Numerical Methods for Partial Differential Equations 24(2) 646 (2008) https://doi.org/10.1002/num.20284
Computation of Interface Reflection and Regular or Diffuse Transmission of the Planar Symmetric Radiative Transfer Equation with Isotropic Scattering and Its Diffusion Limit
Stephan Didas, Joachim Weickert and Bernhard Burgeth Lecture Notes in Computer Science, Pattern Recognition 3663 451 (2005) https://doi.org/10.1007/11550518_56
Rate of convergence of regularization procedures and finite element approximations for the total variation flow
On the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and SIDEs
Gabriele Steidl, Joachim Weickert, Thomas Brox, Pavel Mrázek and Martin Welk SIAM Journal on Numerical Analysis 42(2) 686 (2004) https://doi.org/10.1137/S0036142903422429