Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Quasilinear problems with nonlinear boundary conditions in higher-dimensional thin domains with corrugated boundaries

Jean Carlos Nakasato and Marcone Corrêa Pereira
Advanced Nonlinear Studies 23 (1) (2023)
https://doi.org/10.1515/ans-2023-0101

Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method

Srinivasan Aiyappan, Giuseppe Cardone, Carmen Perugia and Ravi Prakash
Nonlinear Analysis: Real World Applications 66 103537 (2022)
https://doi.org/10.1016/j.nonrwa.2022.103537

Homogenization of an Elliptic Equation in a Domain with Oscillating Boundary with Non-homogeneous Non-linear Boundary Conditions

Rajesh Mahadevan, A. K. Nandakumaran and Ravi Prakash
Applied Mathematics & Optimization 82 (1) 245 (2020)
https://doi.org/10.1007/s00245-018-9499-4

A Two-Dimensional Electrostatic Model of Interdigitated Comb Drive in Longitudinal Mode

Antonio Gaudiello and Michel Lenczner
SIAM Journal on Applied Mathematics 80 (2) 792 (2020)
https://doi.org/10.1137/19M1270306

Semi-linear optimal control problem on a smooth oscillating domain

S. Aiyappan, A. K. Nandakumaran and Ravi Prakash
Communications in Contemporary Mathematics 22 (04) 1950029 (2020)
https://doi.org/10.1142/S0219199719500299

Locally periodic unfolding operator for highly oscillating rough domains

S. Aiyappan, A. K. Nandakumaran and Ravi Prakash
Annali di Matematica Pura ed Applicata (1923 -) 198 (6) 1931 (2019)
https://doi.org/10.1007/s10231-019-00848-7

Asymptotic analysis of a multiscale parabolic problem with a rough fast oscillating interface

Patrizia Donato, Editha C. Jose and Daniel Onofrei
Archive of Applied Mechanics 89 (3) 437 (2019)
https://doi.org/10.1007/s00419-018-1415-5

Homogenization of an evolution problem with $$ L\log L$$ L log L data in a domain with oscillating boundary

Antonio Gaudiello and Olivier Guibé
Annali di Matematica Pura ed Applicata (1923 -) 197 (1) 153 (2018)
https://doi.org/10.1007/s10231-017-0673-0

Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary

Antonio Gaudiello and Taras Mel'nyk
Journal of Differential Equations 265 (10) 5419 (2018)
https://doi.org/10.1016/j.jde.2018.07.002

A combined finite element method for elliptic problems posted in domains with rough boundaries

Shipeng Xu, Weibing Deng and Haijun Wu
Journal of Computational and Applied Mathematics 336 235 (2018)
https://doi.org/10.1016/j.cam.2017.12.049

Homogenization of the Brush Problem with a Source Term in L 1

Antonio Gaudiello, Olivier Guibé and François Murat
Archive for Rational Mechanics and Analysis 225 (1) 1 (2017)
https://doi.org/10.1007/s00205-017-1079-2

Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem

Takahito Kashiwabara, Claudia Maria Colciago, Luca Dedè and Alfio Quarteroni
SIAM Journal on Numerical Analysis 53 (1) 105 (2015)
https://doi.org/10.1137/140954477

Optimal control for a second-order linear evolution problem in a domain with oscillating boundary

U. De Maio, L. Faella and C. Perugia
Complex Variables and Elliptic Equations 60 (10) 1392 (2015)
https://doi.org/10.1080/17476933.2015.1022169

Homogenization of Highly Oscillating Boundaries with Strongly Contrasting Diffusivity

Antonio Gaudiello and Ali Sili
SIAM Journal on Mathematical Analysis 47 (3) 1671 (2015)
https://doi.org/10.1137/140987225

Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition

Umberto De Maio, Akamabadath K. Nandakumaran and Carmen Perugia
Evolution Equations & Control Theory 4 (3) 325 (2015)
https://doi.org/10.3934/eect.2015.4.325

Stokes’ System in a Domain with Oscillating Boundary: Homogenization and Error Analysis of an Interior Optimal Control Problem

A. K. Nandakumaran, Ravi Prakash and J.-P. Raymond
Numerical Functional Analysis and Optimization 35 (3) 323 (2014)
https://doi.org/10.1080/01630563.2013.812657

Optimal control problem for an anisotropic parabolic problem in a domain with very rough boundary

U. De Maio, L. Faella and C. Perugia
Ricerche di Matematica 63 (2) 307 (2014)
https://doi.org/10.1007/s11587-014-0183-y

On the Local Well-posedness of the Prandtl and Hydrostatic Euler Equations with Multiple Monotonicity Regions

Igor Kukavica, Nader Masmoudi, Vlad Vicol and Tak Kwong Wong
SIAM Journal on Mathematical Analysis 46 (6) 3865 (2014)
https://doi.org/10.1137/140956440

A Coupled Prediction Scheme for Solving the Navier--Stokes and Convection-Diffusion Equations

J. Deteix, A. Jendoubi and D. Yakoubi
SIAM Journal on Numerical Analysis 52 (5) 2415 (2014)
https://doi.org/10.1137/130942516

Effective boundary condition for Stokes flow over a very rough surface

Youcef Amirat, Olivier Bodart, Umberto De Maio and Antonio Gaudiello
Journal of Differential Equations 254 (8) 3395 (2013)
https://doi.org/10.1016/j.jde.2013.01.024

HOMOGENIZATION OF AN ELLIPTIC SECOND-ORDER PROBLEM WITH LlogL DATA IN A DOMAIN WITH OSCILLATING BOUNDARY

ANTONIO GAUDIELLO and OLIVIER GUIBÉ
Communications in Contemporary Mathematics 15 (06) 1350008 (2013)
https://doi.org/10.1142/S0219199713500089

The Discrete Duality Finite Volume Method for Stokes Equations on Three-Dimensional Polyhedral Meshes

Stella Krell and Gianmarco Manzini
SIAM Journal on Numerical Analysis 50 (2) 808 (2012)
https://doi.org/10.1137/110831593

Analysis of WENO Schemes for Full and Global Accuracy

F. Aràndiga, A. Baeza, A. M. Belda and P. Mulet
SIAM Journal on Numerical Analysis 49 (2) 893 (2011)
https://doi.org/10.1137/100791579

Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density

J.-L. Guermond and Abner J. Salgado
SIAM Journal on Numerical Analysis 49 (3) 917 (2011)
https://doi.org/10.1137/090768758

Alternating Evolution Schemes for Hyperbolic Conservation Laws

Haseena Saran and Hailiang Liu
SIAM Journal on Scientific Computing 33 (6) 3210 (2011)
https://doi.org/10.1137/080733577

Compact Imbeddings in Electromagnetism with Interfaces between Classical Materials and Metamaterials

Lucas Chesnel and Patrick Ciarlet,
SIAM Journal on Mathematical Analysis 43 (5) 2150 (2011)
https://doi.org/10.1137/100810903

A 3D Discrete Duality Finite Volume Method for Nonlinear Elliptic Equations

Yves Coudière and Florence Hubert
SIAM Journal on Scientific Computing 33 (4) 1739 (2011)
https://doi.org/10.1137/100786046

On the Convergence of Adaptive Nonconforming Finite Element Methods for a Class of Convex Variational Problems

Christoph Ortner and Dirk Praetorius
SIAM Journal on Numerical Analysis 49 (1) 346 (2011)
https://doi.org/10.1137/090781073

Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle

Jérôme Droniou and Christophe Le Potier
SIAM Journal on Numerical Analysis 49 (2) 459 (2011)
https://doi.org/10.1137/090770849

A Residual-Based A Posteriori Error Estimator for the Stokes–Darcy Coupled Problem

Ivo Babuška and Gabriel N. Gatica
SIAM Journal on Numerical Analysis 48 (2) 498 (2010)
https://doi.org/10.1137/080727646

A Priori Error Analysis for Linear Quadratic Elliptic Neumann Boundary Control Problems with Control and State Constraints

K. Krumbiegel, C. Meyer and A. Rösch
SIAM Journal on Control and Optimization 48 (8) 5108 (2010)
https://doi.org/10.1137/090746148

An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture

Siobhan Burke, Christoph Ortner and Endre Süli
SIAM Journal on Numerical Analysis 48 (3) 980 (2010)
https://doi.org/10.1137/080741033

Explicit Runge–Kutta Schemes and Finite Elements with Symmetric Stabilization for First-Order Linear PDE Systems

Erik Burman, Alexandre Ern and Miguel A. Fernández
SIAM Journal on Numerical Analysis 48 (6) 2019 (2010)
https://doi.org/10.1137/090757940

Multiscale Asymptotic Method for Maxwell's Equations in Composite Materials

Liqun Cao, Ya Zhang, Walter Allegretto and Yanping Lin
SIAM Journal on Numerical Analysis 47 (6) 4257 (2010)
https://doi.org/10.1137/080741276

Multiscale Computations for 3D Time-Dependent Maxwell's Equations in Composite Materials

Ya Zhang, Li-Qun Cao and Yau-Shu Wong
SIAM Journal on Scientific Computing 32 (5) 2560 (2010)
https://doi.org/10.1137/080740337

The Discrete Duality Finite Volume Method for Convection-diffusion Problems

Yves Coudière and Gianmarco Manzini
SIAM Journal on Numerical Analysis 47 (6) 4163 (2010)
https://doi.org/10.1137/080731219

Convergence Analysis of the Mimetic Finite Difference Method for Elliptic Problems

Andrea Cangiani, Gianmarco Manzini and Alessandro Russo
SIAM Journal on Numerical Analysis 47 (4) 2612 (2009)
https://doi.org/10.1137/080717560

The Local $L^2$ Projected $C^0$ Finite Element Method for Maxwell Problem

Huo-Yuan Duan, Feng Jia, Ping Lin and Roger C. E. Tan
SIAM Journal on Numerical Analysis 47 (2) 1274 (2009)
https://doi.org/10.1137/070707749

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

Chi-Wang Shu
SIAM Review 51 (1) 82 (2009)
https://doi.org/10.1137/070679065

A Posteriori Error Estimation for the Discrete Duality Finite Volume Discretization of the Laplace Equation

Pascal Omnes, Yohan Penel and Yann Rosenbaum
SIAM Journal on Numerical Analysis 47 (4) 2782 (2009)
https://doi.org/10.1137/080735047

Eigenfracture: An Eigendeformation Approach to Variational Fracture

Bernd Schmidt, Fernando Fraternali and Michael Ortiz
Multiscale Modeling & Simulation 7 (3) 1237 (2009)
https://doi.org/10.1137/080712568

On the Interpolation Error Estimates for $Q_1$ Quadrilateral Finite Elements

Shipeng Mao, Serge Nicaise and Zhong-Ci Shi
SIAM Journal on Numerical Analysis 47 (1) 467 (2009)
https://doi.org/10.1137/070700486

Uniform Boundary Controllability of a Semidiscrete 1-D Wave Equation with Vanishing Viscosity

Sorin Micu
SIAM Journal on Control and Optimization 47 (6) 2857 (2009)
https://doi.org/10.1137/070696933

Homogenization of a boundary‐value problem with a nonlinear boundary condition in a thick junction of type 3:2:1

Taras A. Mel'nyk
Mathematical Methods in the Applied Sciences 31 (9) 1005 (2008)
https://doi.org/10.1002/mma.951

Controllability of the Kirchhoff System for Beams as a Limit of the Mindlin–Timoshenko System

F. D. Araruna and E. Zuazua
SIAM Journal on Control and Optimization 47 (4) 1909 (2008)
https://doi.org/10.1137/060659934

Convergence Analysis of Finite Volume Scheme for Nonlinear Tensor Anisotropic Diffusion in Image Processing

Olga Drblíková and Karol Mikula
SIAM Journal on Numerical Analysis 46 (1) 37 (2008)
https://doi.org/10.1137/070685038

A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems

Susanne C. Brenner, Fengyan Li and Li-Yeng Sung
SIAM Journal on Numerical Analysis 46 (3) 1190 (2008)
https://doi.org/10.1137/060671760

Convergence of a Semidiscrete Two-Grid Algorithm for the Controllability of the $1-d$ Wave Equation

Mihaela Negreanu
SIAM Journal on Numerical Analysis 46 (6) 3233 (2008)
https://doi.org/10.1137/06064915X

A Phase Field Method for Joint Denoising, Edge Detection, and Motion Estimation in Image Sequence Processing

T. Preusser, M. Droske, C. S. Garbe, A. Telea and M. Rumpf
SIAM Journal on Applied Mathematics 68 (3) 599 (2008)
https://doi.org/10.1137/060677409

Finite Volume Method for 2D Linear and Nonlinear Elliptic Problems with Discontinuities

Franck Boyer and Florence Hubert
SIAM Journal on Numerical Analysis 46 (6) 3032 (2008)
https://doi.org/10.1137/060666196

The Composite Mini Element—Coarse Mesh Computation of Stokes Flows on Complicated Domains

Daniel Peterseim and Stefan A. Sauter
SIAM Journal on Numerical Analysis 46 (6) 3181 (2008)
https://doi.org/10.1137/070704356

A Discrete Duality Finite Volume Approach to Hodge Decomposition and div‐curl Problems on Almost Arbitrary Two‐Dimensional Meshes

Sarah Delcourte, Komla Domelevo and Pascal Omnes
SIAM Journal on Numerical Analysis 45 (3) 1142 (2007)
https://doi.org/10.1137/060655031

Interaction of a Bulk and a Surface Energy with a Geometrical Constraint

Antonin Chambolle and Margherita Solci
SIAM Journal on Mathematical Analysis 39 (1) 77 (2007)
https://doi.org/10.1137/060649173

Junction of a periodic family of elastic rods with a 3d plate. Part I

Dominique Blanchard, Antonio Gaudiello and Georges Griso
Journal de Mathématiques Pures et Appliquées 88 (1) 1 (2007)
https://doi.org/10.1016/j.matpur.2007.04.005

HIGHLY OSCILLATING BOUNDARIES AND REDUCTION OF DIMENSION: THE CRITICAL CASE

DOMINIQUE BLANCHARD, ANTONIO GAUDIELLO and JACQUELINE MOSSINO
Analysis and Applications 05 (02) 137 (2007)
https://doi.org/10.1142/S0219530507000924

The best Sobolev trace constant in a domain with oscillating boundary

Julián Fernández Bonder, Rafael Orive and Julio D. Rossi
Nonlinear Analysis: Theory, Methods & Applications 67 (4) 1173 (2007)
https://doi.org/10.1016/j.na.2006.07.005

Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws

Alexander Kurganov, Guergana Petrova and Bojan Popov
SIAM Journal on Scientific Computing 29 (6) 2381 (2007)
https://doi.org/10.1137/040614189

Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements

Carsten Carstensen, Jun Hu and Antonio Orlando
SIAM Journal on Numerical Analysis 45 (1) 68 (2007)
https://doi.org/10.1137/050628854

Asymptotic approximation of the solution of Stokes equations in a domain with highly oscillating boundary

Youcef Amirat, Olivier Bodart, Umberto De Maio and Antonio Gaudiello
ANNALI DELL'UNIVERSITA' DI FERRARA 53 (2) 135 (2007)
https://doi.org/10.1007/s11565-007-0015-z

Multiphase Image Segmentation via Modica–Mortola Phase Transition

Yoon Mo Jung, Sung Ha Kang and Jianhong Shen
SIAM Journal on Applied Mathematics 67 (5) 1213 (2007)
https://doi.org/10.1137/060662708

FOSLL* Method for the Eddy Current Problem with Three‐Dimensional Edge Singularities

Eunjung Lee and Thomas A. Manteuffel
SIAM Journal on Numerical Analysis 45 (2) 787 (2007)
https://doi.org/10.1137/050647001

A Posteriori Error Estimates for Finite Element Approximation of Parabolic p-Laplacian

Carsten Carstensen, Wenbin Liu and Ningning Yan
SIAM Journal on Numerical Analysis 43 (6) 2294 (2006)
https://doi.org/10.1137/040611008

A Defect Correction Scheme for Finite Element Eigenvalues with Applications to Quantum Chemistry

Lihua Shen and Aihui Zhou
SIAM Journal on Scientific Computing 28 (1) 321 (2006)
https://doi.org/10.1137/040614013

Nonoscillatory Central Schemes for One- and Two-Dimensional Magnetohydrodynamics Equations. II: High-Order SemiDiscrete Schemes

Jorge Balbás and Eitan Tadmor
SIAM Journal on Scientific Computing 28 (2) 533 (2006)
https://doi.org/10.1137/040610246

A Posteriori Error Estimations of Some Cell Centered Finite Volume Methods for Diffusion-Convection-Reaction Problems

Serge Nicaise
SIAM Journal on Numerical Analysis 44 (3) 949 (2006)
https://doi.org/10.1137/040611483

Continuous Interior Penalty Finite Element Method for Oseen's Equations

Erik Burman, Miguel A. Fernández and Peter Hansbo
SIAM Journal on Numerical Analysis 44 (3) 1248 (2006)
https://doi.org/10.1137/040617686

Discrete Compactness for the hp Version of Rectangular Edge Finite Elements

Daniele Boffi, Martin Costabel, Monique Dauge and Leszek Demkowicz
SIAM Journal on Numerical Analysis 44 (3) 979 (2006)
https://doi.org/10.1137/04061550X

Subgrid Stabilized Defect Correction Methods for the Navier–Stokes Equations

Songul Kaya, William Layton and Béatrice Rivière
SIAM Journal on Numerical Analysis 44 (4) 1639 (2006)
https://doi.org/10.1137/050623942

Discontinuous Galerkin Approximation of the Maxwell Eigenproblem

Annalisa Buffa and Ilaria Perugia
SIAM Journal on Numerical Analysis 44 (5) 2198 (2006)
https://doi.org/10.1137/050636887

Wavelet Filtering for Exact Controllability of the Wave Equation

M. Negreanu, A.‐M. Matache and C. Schwab
SIAM Journal on Scientific Computing 28 (5) 1851 (2006)
https://doi.org/10.1137/050622894

Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method

M. Braack and E. Burman
SIAM Journal on Numerical Analysis 43 (6) 2544 (2006)
https://doi.org/10.1137/050631227

Discrete Ingham Inequalities and Applications

Mihaela Negreanu and Enrique Zuazua
SIAM Journal on Numerical Analysis 44 (1) 412 (2006)
https://doi.org/10.1137/050630015

Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions

J. L. Guermond, P. Minev and J. Shen
SIAM Journal on Numerical Analysis 43 (1) 239 (2005)
https://doi.org/10.1137/040604418

Deblurring and Denoising of Images by Nonlocal Functionals

Stefan Kindermann, Stanley Osher and Peter W. Jones
Multiscale Modeling & Simulation 4 (4) 1091 (2005)
https://doi.org/10.1137/050622249

Diffusion Approximation and Homogenization of the Semiconductor Boltzmann Equation

Naoufel Ben Abdallah and Mohamed Lazhar Tayeb
Multiscale Modeling & Simulation 4 (3) 896 (2005)
https://doi.org/10.1137/040611227

ASYMPTOTIC APPROXIMATION FOR THE SOLUTION TO THE ROBIN PROBLEM IN A THICK MULTI-LEVEL JUNCTION

U. DE MAIO, T. DURANTE and T. A. MEL'NYK
Mathematical Models and Methods in Applied Sciences 15 (12) 1897 (2005)
https://doi.org/10.1142/S0218202505001011

Pressure Correction Algebraic Splitting Methods for the Incompressible Navier--Stokes Equations

F. Saleri and A. Veneziani
SIAM Journal on Numerical Analysis 43 (1) 174 (2005)
https://doi.org/10.1137/S0036142903435429

A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty

Erik Burman
SIAM Journal on Numerical Analysis 43 (5) 2012 (2005)
https://doi.org/10.1137/S0036142903437374

A Finite Element Variational Multiscale Method for the Navier--Stokes Equations

Volker John and Songul Kaya
SIAM Journal on Scientific Computing 26 (5) 1485 (2005)
https://doi.org/10.1137/030601533

Fourth-Order Nonoscillatory Upwind and Central Schemes for Hyperbolic Conservation Laws

Ángel Balaguer and Carlos Conde
SIAM Journal on Numerical Analysis 43 (2) 455 (2005)
https://doi.org/10.1137/S0036142903437106

A Discontinuous Subgrid Eddy Viscosity Method for the Time-Dependent Navier--Stokes Equations

Songul Kaya and Béatrice Rivière
SIAM Journal on Numerical Analysis 43 (4) 1572 (2005)
https://doi.org/10.1137/S0036142903434862

Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations

R. Verfürth
SIAM Journal on Numerical Analysis 43 (4) 1766 (2005)
https://doi.org/10.1137/040604261

Robust A Posteriori Error Estimates for Nonstationary Convection-Diffusion Equations

R. Verfürth
SIAM Journal on Numerical Analysis 43 (4) 1783 (2005)
https://doi.org/10.1137/040604273

Analysis of the Recovery of Edges in Images and Signals by Minimizing Nonconvex Regularized Least-Squares

Mila Nikolova
Multiscale Modeling & Simulation 4 (3) 960 (2005)
https://doi.org/10.1137/040619582

A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems

Enrico Bertolazzi and Gianmarco Manzini
SIAM Journal on Numerical Analysis 43 (5) 2172 (2005)
https://doi.org/10.1137/040607071

Homogenization of the Neumann problem in thick multi‐structures of type 3 : 2 : 2

U. De Maio and T. A. Mel'nyk
Mathematical Methods in the Applied Sciences 28 (7) 865 (2005)
https://doi.org/10.1002/mma.599

On the Two-Dimensional Hydrostatic Navier--Stokes Equations

Didier Bresch, Alexandre Kazhikhov and Jérôme Lemoine
SIAM Journal on Mathematical Analysis 36 (3) 796 (2005)
https://doi.org/10.1137/S0036141003422242

A Stabilized Domain Decomposition Method with Nonmatching Grids for the Stokes Problem in Three Dimensions

Faker Ben Belgacem
SIAM Journal on Numerical Analysis 42 (2) 667 (2004)
https://doi.org/10.1137/S0036142900368824

Surface Diffusion of Graphs: Variational Formulation, Error Analysis, and Simulation

Eberhard Bänsch, Pedro Morin and Ricardo H. Nochetto
SIAM Journal on Numerical Analysis 42 (2) 773 (2004)
https://doi.org/10.1137/S0036142902419272

$\Gamma$-Convergence of Discrete Functionals with Nonconvex Perturbation for Image Classification

Gilles Aubert, Laure Blanc-Féraud and Riccardo March
SIAM Journal on Numerical Analysis 42 (3) 1128 (2004)
https://doi.org/10.1137/S0036142902412336