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Total Generalized Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging
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A Posteriori Estimates for the Stochastic Total Variation Flow
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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
Convergence Analysis of Primal–Dual Based Methods for Total Variation Minimization with Finite Element Approximation
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
Gradient-flow-based semi-implicit finite-element method and its convergence analysis for image reconstruction
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
A Penalty Method for the Numerical Solution of Hamilton–Jacobi–Bellman (HJB) Equations in Finance
Olivier Bokanowski, Stefania Maroso and Hasnaa Zidani SIAM Journal on Numerical Analysis 47(4) 3001 (2009) https://doi.org/10.1137/08073041X
Landform - Structure, Evolution, Process Control
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
New Interior Penalty Discontinuous Galerkin Methods for the Keller–Segel Chemotaxis Model
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
A Smooth Transition Model between Kinetic and Diffusion Equations
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
Analysis of a Multidimensional Parabolic Population Model with Strong Cross-Diffusion