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All issues ESAIM: M2AN, 36 5 (2002) 937-951 Article references

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Cited article:

Homogenization of the time-dependent heat equation on planar one-dimensional periodic structures

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Applicable Analysis 101 (12) 4046 (2022)
https://doi.org/10.1080/00036811.2022.2078713

Anisotropic multi-level hp-refinement for quadrilateral and triangular meshes

Nils Zander, Hadrien Bériot, Claus Hoff, Petr Kodl and Leszek Demkowicz
Finite Elements in Analysis and Design 203 103700 (2022)
https://doi.org/10.1016/j.finel.2021.103700

C and C0 hp-finite elements on d-dimensional meshes with arbitrary hanging nodes

Paolo Di Stolfo and Andreas Schröder
Finite Elements in Analysis and Design 192 103529 (2021)
https://doi.org/10.1016/j.finel.2021.103529

Multistep and Runge–Kutta convolution quadrature methods for coupled dynamical systems

H. Egger, K. Schmidt and V. Shashkov
Journal of Computational and Applied Mathematics 387 112618 (2021)
https://doi.org/10.1016/j.cam.2019.112618

PDE eigenvalue iterations with applications in two-dimensional photonic crystals

Robert Altmann and Marine Froidevaux
ESAIM: Mathematical Modelling and Numerical Analysis 54 (5) 1751 (2020)
https://doi.org/10.1051/m2an/2020014

On the homogenization of the acoustic wave propagation in perforated ducts of finite length for an inviscid and a viscous model

Adrien Semin and Kersten Schmidt
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474 (2210) 20170708 (2018)
https://doi.org/10.1098/rspa.2017.0708

On the homogenization of the Helmholtz problem with thin perforated walls of finite length

Adrien Semin, Bérangère Delourme and Kersten Schmidt
ESAIM: Mathematical Modelling and Numerical Analysis 52 (1) 29 (2018)
https://doi.org/10.1051/m2an/2017030

A High Order Method for the Approximation of Integrals Over Implicitly Defined Hypersurfaces

Lukas Drescher, Holger Heumann and Kersten Schmidt
SIAM Journal on Numerical Analysis 55 (6) 2592 (2017)
https://doi.org/10.1137/16M1102227

Rational eigenvalue problems and applications to photonic crystals

Christian Engström, Heinz Langer and Christiane Tretter
Journal of Mathematical Analysis and Applications 445 (1) 240 (2017)
https://doi.org/10.1016/j.jmaa.2016.07.048

Unsymmetric multi-level hanging nodes and anisotropic polynomial degrees in H1-conforming higher-order finite element methods

Andreas Byfut and Andreas Schröder
Computers & Mathematics with Applications 73 (9) 2092 (2017)
https://doi.org/10.1016/j.camwa.2017.02.029

The multi-levelhp-method for three-dimensional problems: Dynamically changing high-order mesh refinement with arbitrary hanging nodes

Nils Zander, Tino Bog, Mohamed Elhaddad, et al.
Computer Methods in Applied Mechanics and Engineering 310 252 (2016)
https://doi.org/10.1016/j.cma.2016.07.007

Absorbing boundary conditions for acoustic models at low viscosity in a waveguide

Adrien Semin and Kersten Schmidt
Mathematical Methods in the Applied Sciences 39 (17) 5043 (2016)
https://doi.org/10.1002/mma.3755

An easy treatment of hanging nodes in hp-finite elements

Paolo Di Stolfo, Andreas Schröder, Nils Zander and Stefan Kollmannsberger
Finite Elements in Analysis and Design 121 101 (2016)
https://doi.org/10.1016/j.finel.2016.07.001

Biorthogonal basis functions inhp-adaptive FEM for elliptic obstacle problems

Lothar Banz and Andreas Schröder
Computers & Mathematics with Applications 70 (8) 1721 (2015)
https://doi.org/10.1016/j.camwa.2015.07.010

Asymptotic boundary element methods for thin conducting sheets

Kersten Schmidt and Ralf Hiptmair
Discrete & Continuous Dynamical Systems - S 8 (3) 619 (2015)
https://doi.org/10.3934/dcdss.2015.8.619

Non-conforming Galerkin finite element methods for local absorbing boundary conditions of higher order

Kersten Schmidt, Julien Diaz and Christian Heier
Computers & Mathematics with Applications 70 (9) 2252 (2015)
https://doi.org/10.1016/j.camwa.2015.08.034

Robin-to-Robin transparent boundary conditions for the computation of guided modes in photonic crystal wave-guides

Sonia Fliss, Dirk Klindworth and Kersten Schmidt
BIT Numerical Mathematics 55 (1) 81 (2015)
https://doi.org/10.1007/s10543-014-0521-1

An Efficient Calculation of Photonic Crystal Band Structures Using Taylor Expansions

Dirk Klindworth and Kersten Schmidt
Communications in Computational Physics 16 (5) 1355 (2014)
https://doi.org/10.4208/cicp.240513.260614a

Robust Transmission Conditions of High Order for Thin Conducting Sheets in Two Dimensions

Kersten Schmidt and Alexey Chernov
IEEE Transactions on Magnetics 50 (2) 41 (2014)
https://doi.org/10.1109/TMAG.2013.2285437

Spectral approximation of quadratic operator polynomials arising in photonic band structure calculations

Christian Engström
Numerische Mathematik 126 (3) 413 (2014)
https://doi.org/10.1007/s00211-013-0568-y

A Unified Analysis of Transmission Conditions for Thin Conducting Sheets in the Time-Harmonic Eddy Current Model

K. Schmidt and A. Chernov
SIAM Journal on Applied Mathematics 73 (6) 1980 (2013)
https://doi.org/10.1137/120901398

HP-FEM AND PML ANALYSIS OF PLASMONIC PARTICLES IN LAYERED MEDIA

Mengyu Wang, Kersten Schmidt, Aytac Alparslan and Christian V. Hafner
Progress In Electromagnetics Research 142 523 (2013)
https://doi.org/10.2528/PIER13081407

High order transmission conditions for thin conductive sheets in magneto-quasistatics

Kersten Schmidt and Sébastien Tordeux
ESAIM: Mathematical Modelling and Numerical Analysis 45 (6) 1115 (2011)
https://doi.org/10.1051/m2an/2011009

Spectral and High Order Methods for Partial Differential Equations

Andreas Schröder
Lecture Notes in Computational Science and Engineering, Spectral and High Order Methods for Partial Differential Equations 76 317 (2011)
https://doi.org/10.1007/978-3-642-15337-2_29

Computation of the band structure of two-dimensional photonic crystals with hp finite elements

K. Schmidt and P. Kauf
Computer Methods in Applied Mechanics and Engineering 198 (13-14) 1249 (2009)
https://doi.org/10.1016/j.cma.2008.06.009

Data structures and requirements for hp finite element software

W. Bangerth and O. Kayser-Herold
ACM Transactions on Mathematical Software 36 (1) 1 (2009)
https://doi.org/10.1145/1486525.1486529

Piecewise polynomial shape functions for hp-finite element methods

Matthias Baitsch and Dietrich Hartmann
Computer Methods in Applied Mechanics and Engineering 198 (13-14) 1126 (2009)
https://doi.org/10.1016/j.cma.2008.05.016

A numerical study on Neumann-Neumann methods forhpapproximations on geometrically refined boundary layer meshes II. Three-dimensional problems

Andrea Toselli and Xavier Vasseur
ESAIM: Mathematical Modelling and Numerical Analysis 40 (1) 99 (2006)
https://doi.org/10.1051/m2an:2006004

Finite elements for elliptic problems with stochastic coefficients

Philipp Frauenfelder, Christoph Schwab and Radu Alexandru Todor
Computer Methods in Applied Mechanics and Engineering 194 (2-5) 205 (2005)
https://doi.org/10.1016/j.cma.2004.04.008

EXPONENTIAL CONVERGENCE OF hp-FEM FOR MAXWELL EQUATIONS WITH WEIGHTED REGULARIZATION IN POLYGONAL DOMAINS

MARTIN COSTABEL, MONIQUE DAUGE and CHRISTOPH SCHWAB
Mathematical Models and Methods in Applied Sciences 15 (04) 575 (2005)
https://doi.org/10.1142/S0218202505000480