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:

A coupled steady thermo-electromagnetic problem in axisymmetric geometries. Mathematical and numerical analysis

Dolores Gómez, Bibiana López-Rodríguez, Pilar Salgado and Pablo Venegas
IMA Journal of Numerical Analysis (2024)
https://doi.org/10.1093/imanum/drae056

Finite element approximation for an axisymmetric time-dependent acoustic problem

Bibiana López-Rodríguez, José Querales and Pablo Venegas
Journal of Computational and Applied Mathematics 448 115940 (2024)
https://doi.org/10.1016/j.cam.2024.115940

The coefficients in the asymptotic expansion of solutions of second‐order hyperbolic problems in polygonal domains

Boniface Nkemzi and Michael Jung
Mathematical Methods in the Applied Sciences 46 (8) 9576 (2023)
https://doi.org/10.1002/mma.9075

An Isoperimetric Sloshing Problem in a Shallow Container with Surface Tension

Chee Han Tan, Christel Hohenegger and Braxton Osting
Applied Mathematics & Optimization 87 (2) (2023)
https://doi.org/10.1007/s00245-022-09936-2

A NUMERICAL METHOD FOR 3D TIME-DEPENDENT MAXWELL’S EQUATIONS IN AXISYMMETRIC SINGULAR DOMAINS WITH ARBITRARY DATA

Franck Assous and Irina Raichik
Mathematical Modelling and Analysis 28 (3) 487 (2023)
https://doi.org/10.3846/mma.2023.17553

Numerical Solution of an Axisymmetric Eddy Current Model with Current and Voltage Excitations

A. Bermúdez, B. López-Rodríguez, F. J. Pena, et al.
Journal of Scientific Computing 91 (1) (2022)
https://doi.org/10.1007/s10915-022-01780-4

A Framework for Approximation of the Stokes Equations in an Axisymmetric Domain

Niklas Ericsson
Computational Methods in Applied Mathematics 21 (4) 791 (2021)
https://doi.org/10.1515/cmam-2020-0129

Numerical Approximation of the Displacement Formulation of the Axisymmetric Acoustic Vibration Problem

José Querales, Rodolfo Rodríguez and Pablo Venegas
SIAM Journal on Scientific Computing 43 (3) A1583 (2021)
https://doi.org/10.1137/20M1346225

Second-order schemes for axisymmetric Navier–Stokes–Brinkman and transport equations modelling water filters

Graham Baird, Raimund Bürger, Paul E. Méndez and Ricardo Ruiz-Baier
Numerische Mathematik 147 (2) 431 (2021)
https://doi.org/10.1007/s00211-020-01169-1

IsoGeometric approximations for electromagnetic problems in axisymmetric domains

Abele Simona, Luca Bonaventura, Carlo de Falco and Sebastian Schöps
Computer Methods in Applied Mechanics and Engineering 369 113211 (2020)
https://doi.org/10.1016/j.cma.2020.113211

Numerical Solution to the 3D Static Maxwell Equations in Axisymmetric Singular Domains with Arbitrary Data

Franck Assous and Irina Raichik
Computational Methods in Applied Mathematics 20 (3) 419 (2020)
https://doi.org/10.1515/cmam-2018-0314

Vorticity‐pressure formulations for the Brinkman‐Darcy coupled problem

Verónica Anaya, David Mora, Carlos Reales and Ricardo Ruiz‐Baier
Numerical Methods for Partial Differential Equations 35 (2) 528 (2019)
https://doi.org/10.1002/num.22312

Mathematical Foundations of Computational Electromagnetism

Franck Assous, Patrick Ciarlet and Simon Labrunie
Applied Mathematical Sciences, Mathematical Foundations of Computational Electromagnetism 198 347 (2018)
https://doi.org/10.1007/978-3-319-70842-3_9

Mixed Methods for a Stream-Function – Vorticity Formulation of the Axisymmetric Brinkman Equations

Verónica Anaya, David Mora, Carlos Reales and Ricardo Ruiz-Baier
Journal of Scientific Computing 71 (1) 348 (2017)
https://doi.org/10.1007/s10915-016-0302-x

Pure vorticity formulation and Galerkin discretization for the Brinkman equations

Verónica Anaya, David Mora and Ricardo Ruiz-Baier
IMA Journal of Numerical Analysis drw056 (2016)
https://doi.org/10.1093/imanum/drw056

A transient eddy current problem on a moving domain. Numerical analysis

A. Bermúdez, R. Muñoz-Sola, C. Reales, R. Rodríguez and P. Salgado
Advances in Computational Mathematics 42 (4) 757 (2016)
https://doi.org/10.1007/s10444-015-9441-0

The shape of the fundamental sloshing mode in axisymmetric containers

Tadeusz Kulczycki, Mateusz Kwaśnicki and Bartłomiej Siudeja
Journal of Engineering Mathematics 99 (1) 157 (2016)
https://doi.org/10.1007/s10665-015-9826-6

Numerical analysis of a transient non-linear axisymmetric eddy current model

Alfredo Bermúdez, Dolores Gómez, Rodolfo Rodríguez and Pablo Venegas
Computers & Mathematics with Applications 70 (8) 1984 (2015)
https://doi.org/10.1016/j.camwa.2015.08.017

Discontinuous finite volume element discretization for coupled flow–transport problems arising in models of sedimentation

Raimund Bürger, Sarvesh Kumar and Ricardo Ruiz-Baier
Journal of Computational Physics 299 446 (2015)
https://doi.org/10.1016/j.jcp.2015.07.020

The Fourier finite element method for the corner singularity expansion of the Heat equation

Hyung Jun Choi and Jae Ryong Kweon
Computers & Mathematics with Applications 69 (1) 13 (2015)
https://doi.org/10.1016/j.camwa.2014.11.004

Convergence of the finite element method for an elliptic equation with strong degeneration

M. V. Urev
Journal of Applied and Industrial Mathematics 8 (3) 411 (2014)
https://doi.org/10.1134/S1990478914030144

NUMERICAL SOLUTION OF A TRANSIENT NONLINEAR AXISYMMETRIC EDDY CURRENT MODEL WITH NONLOCAL BOUNDARY CONDITIONS

A. BERMÚDEZ, D. GÓMEZ, P. SALGADO, R. RODRÍGUEZ and P. VENEGAS
Mathematical Models and Methods in Applied Sciences 23 (13) 2495 (2013)
https://doi.org/10.1142/S0218202513500383

Stenberg’s sufficiency criteria for the LBB condition for axisymmetric Stokes flow

V.J. Ervin and E.W. Jenkins
Journal of Mathematical Analysis and Applications 398 (1) 421 (2013)
https://doi.org/10.1016/j.jmaa.2012.09.003

A Transient Eddy Current Problem on a Moving Domain. Mathematical Analysis

Alfredo Bermúdez, Rafael Mun͂oz-Sola, Carlos Reales, Rodolfo Rodríguez and Pilar Salgado
SIAM Journal on Mathematical Analysis 45 (6) 3629 (2013)
https://doi.org/10.1137/130914425

Flux intensity functions for the Laplacian at axisymmetric edges

Boniface Nkemzi and Michael Jung
Mathematical Methods in the Applied Sciences 36 (2) 154 (2013)
https://doi.org/10.1002/mma.2578

Axisymmetric Stokes equations in polygonal domains: Regularity and finite element approximations

Young-Ju Lee and Hengguang Li
Computers & Mathematics with Applications 64 (11) 3500 (2012)
https://doi.org/10.1016/j.camwa.2012.08.014

A Stabilized Finite Volume Element Formulation for Sedimentation-Consolidation Processes

Raimund Bürger, Ricardo Ruiz-Baier and Héctor Torres
SIAM Journal on Scientific Computing 34 (3) B265 (2012)
https://doi.org/10.1137/110836559

Numerical analysis of a transient eddy current axisymmetric problem involving velocity terms

Alfredo Bermúdez, Carlos Reales, Rodolfo Rodríguez and Pilar Salgado
Numerical Methods for Partial Differential Equations 28 (3) 984 (2012)
https://doi.org/10.1002/num.20670

On Stability, Accuracy, and Fast Solvers for Finite Element Approximations of the Axisymmetric Stokes Problem by Hood–Taylor Elements

Young-Ju Lee and Hengguang Li
SIAM Journal on Numerical Analysis 49 (2) 668 (2011)
https://doi.org/10.1137/100783339

Optimization of a functionally graded circular plate with inner rigid thin obstacles. I. Continuous problems

I. Hlaváček and J. Lovíšek
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 91 (9) 711 (2011)
https://doi.org/10.1002/zamm.201000119

Optimization of a functionally graded circular plate with inner rigid thin obstacles. II. Approximate problems

I. Hlaváček and J. Lovíšek
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 91 (12) 957 (2011)
https://doi.org/10.1002/zamm.201000238

Finite element analysis for the axisymmetric Laplace operator on polygonal domains

Hengguang Li
Journal of Computational and Applied Mathematics 235 (17) 5155 (2011)
https://doi.org/10.1016/j.cam.2011.05.003

Fourier series and integral equation method for the exterior Stokes problem

Jean M.‐S. Lubuma
Numerical Methods for Partial Differential Equations 24 (3) 699 (2008)
https://doi.org/10.1002/num.20273

MULTISCALED ASYMPTOTIC EXPANSIONS FOR THE ELECTRIC POTENTIAL: SURFACE CHARGE DENSITIES AND ELECTRIC FIELDS AT ROUNDED CORNERS

PATRICK CIARLET and SAMIR KADDOURI
Mathematical Models and Methods in Applied Sciences 17 (06) 845 (2007)
https://doi.org/10.1142/S0218202507002133

Optimal convergence recovery for the Fourier-finite-element approximation of Maxwell's equations in nonsmooth axisymmetric domains

Boniface Nkemzi
Applied Numerical Mathematics 57 (9) 989 (2007)
https://doi.org/10.1016/j.apnum.2006.09.006

The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains

P. Ciarlet, B. Jung, S. Kaddouri, S. Labrunie and J. Zou
Numerische Mathematik 102 (4) 583 (2006)
https://doi.org/10.1007/s00211-005-0664-8

A TRUNCATED FOURIER/FINITE ELEMENT DISCRETIZATION OF THE STOKES EQUATIONS IN AN AXISYMMETRIC DOMAIN

Z. BELHACHMI, C. BERNARDI, S. DEPARIS and F. HECHT
Mathematical Models and Methods in Applied Sciences 16 (02) 233 (2006)
https://doi.org/10.1142/S0218202506001133

Weighted Clément operator and application to the finite element discretization of the axisymmetric Stokes problem

Zakaria Belhachmi, Christine Bernardi and Simone Deparis
Numerische Mathematik 105 (2) 217 (2006)
https://doi.org/10.1007/s00211-006-0039-9

On solution of Lamé equations in axisymmetric domains with conical points

Boniface Nkemzi
Mathematical Methods in the Applied Sciences 28 (1) 29 (2005)
https://doi.org/10.1002/mma.547

Multi-field finite element methods with discontinuous pressures for axisymmetric incompressible flow

V. Ruas, J.H. Carneiro de Araujo and M.A.M. Silva Ramos
Journal of Computational and Applied Mathematics 168 (1-2) 393 (2004)
https://doi.org/10.1016/j.cam.2003.12.010

Singularities in elasticity and their treatment with Fourier series

B. Nkemzi
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 84 (4) 252 (2004)
https://doi.org/10.1002/zamm.200310099

Solution of axisymmetric Maxwell equations

Franck Assous, Patrick Ciarlet and Simon Labrunie
Mathematical Methods in the Applied Sciences 26 (10) 861 (2003)
https://doi.org/10.1002/mma.400

Mixed finite element methods with discontinuous pressures for the axisymmetric Stokes problem

V. Ruas
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 83 (4) 249 (2003)
https://doi.org/10.1002/zamm.200310032

A fictitious domain decomposition method for the solution of partially axisymmetric acoustic scattering problems. Part 2: Neumann boundary conditions

U. Hetmaniuk and C. Farhat
International Journal for Numerical Methods in Engineering 58 (1) 63 (2003)
https://doi.org/10.1002/nme.758

A finite element-based fictitious domain decomposition method for the fast solution of partially axisymmetric sound-hard acoustic scattering problems

Ulrich Hetmaniuk and Charbel Farhat
Finite Elements in Analysis and Design 39 (8) 707 (2003)
https://doi.org/10.1016/S0168-874X(03)00055-6

Computation of 3D vertex singularities for linear elasticity: Error estimates for a finite element method on graded meshes

Thomas Apel, Anna-Margarete Sändig and Sergey I. Solov'ev
ESAIM: Mathematical Modelling and Numerical Analysis 36 (6) 1043 (2002)
https://doi.org/10.1051/m2an:2003005

Integral equations for elliptic problems with edge singularities and applications to the fourier-boundary element method

Jean M.-S. Lubuma, Serge Nicaise and Luc Paquet
Numerical Functional Analysis and Optimization 21 (5-6) 743 (2000)
https://doi.org/10.1080/01630560008816983

Existence of solution of a coupled problem arising in the thermoelectrical simulation of electrodes

Alfredo Bermúdez and Rafael Muñoz-Sola
Quarterly of Applied Mathematics 57 (4) 621 (1999)
https://doi.org/10.1090/qam/1724296

A stable finite element method for the axisymmetric three-field Stokes system

J.H.Carneiro de Araujo and V. Ruas
Computer Methods in Applied Mechanics and Engineering 164 (3-4) 267 (1998)
https://doi.org/10.1016/S0045-7825(98)00013-9

Elliptic Interface Problems in Axisymmetric Domains. Part I: Singular Functions of Non ‐ Tensorial Type

Bernd Heinrich, Serge Nicaise and Beate Weber
Mathematische Nachrichten 186 (1) 147 (1997)
https://doi.org/10.1002/mana.3211860109

Numerical approximation of axisymmetric positive solutions of semilinear elliptic equations in axisymmetric domains of $\mathbb {R}^3$

N. Achtaich
ESAIM: Mathematical Modelling and Numerical Analysis 31 (5) 599 (1997)
https://doi.org/10.1051/m2an/1997310505991

A Wiener-Hopf approach for the scattering by a disk

F. Penzel and F. S. Teixeira
Integral Equations and Operator Theory 24 (2) 230 (1996)
https://doi.org/10.1007/BF01193461

The Fourier-Finite-Element Method for Poisson’s Equation in Axisymmetric Domains with Edges

Bernd Heinrich
SIAM Journal on Numerical Analysis 33 (5) 1885 (1996)
https://doi.org/10.1137/S0036142994266108

Dual finite element analysis of three‐dimensional axisymmetric elliptic problems. Part I

Ivan Hlaváček and Michal Křížek
Numerical Methods for Partial Differential Equations 9 (5) 507 (1993)
https://doi.org/10.1002/num.1690090503

Analyse mathématique des transferts thermiques dans des systèmes dispersés subissant des transformations de phases

G. Vallet
ESAIM: Mathematical Modelling and Numerical Analysis 27 (7) 895 (1993)
https://doi.org/10.1051/m2an/1993270708951

Spectral-finite element method for solving three-dimensional unsteady Navier-Stokes equations

Cao Weiming and Guo Benyu
Acta Mathematica Sinica 9 (1) 27 (1993)
https://doi.org/10.1007/BF02559980

Singularity functions at axisymmetric edges and their representation by Fourier series

Bernd Heinrich
Mathematical Methods in the Applied Sciences 16 (12) 837 (1993)
https://doi.org/10.1002/mma.1670161202

Dual finite element analysis of three‐dimensional axisymmetric elliptic problems. Part II

Ivan Hlaváček and Michal Křížek
Numerical Methods for Partial Differential Equations 9 (5) 527 (1993)
https://doi.org/10.1002/num.1690090504

Spectral-finite element method for solving two-dimensional vorticity equations

Benyu Guo and Weiming Cao
Acta Mathematicae Applicatae Sinica 7 (3) 257 (1991)
https://doi.org/10.1007/BF02005974

Axially Symmetric Acoustic Wave Propagation Through Flows with Vorticity

Noel J. Walkington
SIAM Journal on Scientific and Statistical Computing 12 (6) 1438 (1991)
https://doi.org/10.1137/0912078

The Finite Element Method for a Degenerate Elliptic Equation

Donald A. French
SIAM Journal on Numerical Analysis 24 (4) 788 (1987)
https://doi.org/10.1137/0724051

Combined finite element and spectral approximation of the Navier-Stokes equations

Claudio Canuto, Yvon Maday and Alfio Quarteroni
Numerische Mathematik 44 (2) 201 (1984)
https://doi.org/10.1007/BF01410105