Optimal convergence rates of hp mortar finite element methods for second-order elliptic problems
ESAIM: M2AN, 34 3 (2000) 591-608
Published online: 2002-04-15
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:
This article has been cited by the following article(s):
Nonconforming Finite Elements Based on Nitsche-Type Mortaring for Inhomogeneous Wave Equation
Manfred Kaltenbacher and Sebastian FlossJournal of Theoretical and Computational Acoustics 26 (03) 1850028 (2018)
https://doi.org/10.1142/S2591728518500287
A hk mortar spectral element method for the p-Laplacian equation
Mania Sabouri and Mehdi DehghanComputers & Mathematics with Applications 76 (7) 1803 (2018)
https://doi.org/10.1016/j.camwa.2018.07.031
Substructuring preconditioners forh−pMortar FEM
Silvia Bertoluzza, Micol Pennacchio, Christophe Prud’homme and Abdoulaye SamakeESAIM: Mathematical Modelling and Numerical Analysis 50 (4) 1057 (2016)
https://doi.org/10.1051/m2an/2015065
A new mortar formulation for modeling elastomer bedded structures with modal-analysis in 3D
Thomas Horger, Stefan Kollmannsberger, Felix Frischmann, Ernst Rank and Barbara WohlmuthAdvanced Modeling and Simulation in Engineering Sciences 1 (1) (2014)
https://doi.org/10.1186/s40323-014-0018-0
Domain decomposition with the mortar cell method
F. Moro, P. Alotto, M. Guarnieri and A. StellaInternational Journal of Numerical Modelling: Electronic Networks, Devices and Fields 27 (3) 461 (2014)
https://doi.org/10.1002/jnm.1930
Quasi-Optimal Approximation of Surface Based Lagrange Multipliers in Finite Element Methods
J. M. Melenk and B. WohlmuthSIAM Journal on Numerical Analysis 50 (4) 2064 (2012)
https://doi.org/10.1137/110832999
Non-conforming high order approximations of the elastodynamics equation
P.F. Antonietti, I. Mazzieri, A. Quarteroni and F. RapettiComputer Methods in Applied Mechanics and Engineering 209-212 212 (2012)
https://doi.org/10.1016/j.cma.2011.11.004
hp‐Mortar boundary element method for two‐body contact problems with friction
Alexey Chernov, Matthias Maischak and Ernst P. StephanMathematical Methods in the Applied Sciences 31 (17) 2029 (2008)
https://doi.org/10.1002/mma.1005
Non‐matching mesh gluing by meshless interpolation—an alternative to Lagrange multipliers
Rong Tian and Genki YagawaInternational Journal for Numerical Methods in Engineering 71 (4) 473 (2007)
https://doi.org/10.1002/nme.1961
A computational methodology to study coupled physical processes over partitioned domains
Scott R. Franklin, Padmanabhan Seshaiyer and Philip W. SmithApplied Mathematical Modelling 31 (3) 632 (2007)
https://doi.org/10.1016/j.apm.2005.12.003
A nonconforming finite element method for fluid–structure interaction problems
E.W. Swim and P. SeshaiyerComputer Methods in Applied Mechanics and Engineering 195 (17-18) 2088 (2006)
https://doi.org/10.1016/j.cma.2005.01.017
Domain Decomposition Methods in Science and Engineering
Edward Swim and Padmanabhan SeshaiyerLecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering 40 217 (2005)
https://doi.org/10.1007/3-540-26825-1_19
Domain Decomposition Methods in Science and Engineering
Wayne McGee and Padmanabhan SeshaiyerLecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering 40 327 (2005)
https://doi.org/10.1007/3-540-26825-1_32
Higher Order Mortar Finite Element Methods in 3D with Dual Lagrange Multiplier Bases
B. P. Lamichhane, R. P. Stevenson and B. I. WohlmuthNumerische Mathematik 102 (1) 93 (2005)
https://doi.org/10.1007/s00211-005-0636-z
Basics and some applications of the mortar element method
Christine Bernardi, Yvon Maday and Francesca RapettiGAMM-Mitteilungen 28 (2) 97 (2005)
https://doi.org/10.1002/gamm.201490020
A non-conforming computational methodology for modeling coupled problems
E. Aulisa, S. Manservisi and P. SeshaiyerNonlinear Analysis: Theory, Methods & Applications 63 (5-7) e1445 (2005)
https://doi.org/10.1016/j.na.2005.01.052
(2004)
https://doi.org/10.1002/0470091355.ecm019
Stability and convergence of nonconforming hp finite-element methods
P. SeshaiyerComputers & Mathematics with Applications 46 (1) 165 (2003)
https://doi.org/10.1016/S0898-1221(03)90087-3
A non-conforming finite element method for sub-meshing
Padmanabhan Seshaiyer and Philip SmithApplied Mathematics and Computation 139 (1) 85 (2003)
https://doi.org/10.1016/S0096-3003(02)00170-4
The hp-mortar finite-element method for the mixed elasticity and stokes problems
F.Ben Belgacem, L.K. Chilton and P. SeshaiyerComputers & Mathematics with Applications 46 (1) 35 (2003)
https://doi.org/10.1016/S0898-1221(03)90079-4
Recent Developments in Domain Decomposition Methods
Faker Ben Belgacem, Lawrence K. Chilton and Padmanabhan SeshaiyerLecture Notes in Computational Science and Engineering, Recent Developments in Domain Decomposition Methods 23 133 (2002)
https://doi.org/10.1007/978-3-642-56118-4_8
The hp mortar domain decomposition method for problems in fluid mechanics
Lawrence K. Chilton and Padmanabhan SeshaiyerInternational Journal for Numerical Methods in Fluids 40 (12) 1561 (2002)
https://doi.org/10.1002/fld.412
hp submeshing via non-conforming finite element methods
Padmanabhan Seshaiyer and Manil SuriComputer Methods in Applied Mechanics and Engineering 189 (3) 1011 (2000)
https://doi.org/10.1016/S0045-7825(99)00414-4