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Abstract: The focus of this paper is on the efficient solution of boundary value problems involving the double--curl operator. Those arise in the computation of electromagnetic fields in various settings, for instance when solving the electric or magnetic wave equation with implicit timestepping, when tackling time--harmonic problems or in the context of eddy--current computations. (Update)
Context of citations to this paper: More
.... there is a wide range of electromagnetic problem types which are tackled by specific theoretical and numerical approaches (see, e.g. [4, 19, 20]) In this paper we confine ourselves to fields varying on a slow time scale. By this we mean that the wavelengths of the fields are...
.... Others have chosen to discretize (1) or the corresponding time domain equations) first, and then manipulate the discrete equations [5, 3, 9], possibly with the view of designing a fast solver [17] In the present setting our modular approach yields a complete scheme for...
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9: Multigrid method for Maxwell's equation (context) - Hiptmair - 1998
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BibTeX entry: (Update)
R. Beck, P. Deuflhard, R. Hiptmair, R.H.W. Hoppe, and B. Wohlmuth, Adaptive multilevel methods for edge element discretizations of Maxwell's equations, ZIB Berlin, Report SC-9766, 1997, to appear in Surveys of Mathematics in Industry. http://citeseer.ist.psu.edu/article/beck97adaptive.html More
@article{ beck99adaptive,
author = "R. Beck and P. Deuflhard and R. Hiptmair and R. H. W. Hoppe and B. Wohlmuth",
title = "Adaptive multilevel methods for edge element discretizations of {M}axwell's equations",
journal = "Surveys Math. Industry",
volume = "8",
number = "3--4",
pages = "271--312",
year = "1999",
url = "citeseer.ist.psu.edu/article/beck97adaptive.html" }
Citations (may not include all citations):689 The finite element method for elliptic problems (context) - Ciarlet - 1978
291 Finite element methods for Navier--Stokes equations (context) - Girault, Raviart - 1986
238 Mathematical theory of finite element methods (context) - Brenner, Scott - 1994
230 Iterative methods by space decomposition and subspace correc.. (context) - Xu - 1992
119 Numerical solution of initial boundary value problems involv.. (context) - Yee - 1966
88 A perfectly matched layer for the absorption of electromagne.. (context) - Berenger - 1994
88 Some a posteriori error estimators for elliptic partial diff.. - Bank, Weiser - 1985
79 Refinement algorithm and data structures for regular local m.. (context) - Bank, Sherman et al. - 1983
63 Multilevel finite element approximation (context) - Oswald - 1994
63 Finite element interpolation of nonsmooth functions satisfyi.. (context) - Scott, Zhang - 1990
60 Concepts of an adaptive hierarchical finite element code (context) - Deuflhard, Leinen et al. - 1989
46 Old and new convergence proofs for multigrid methods - Yserentant - 1993
46 Approximation by finite element functions using local regula.. (context) - Cl'ement - 1975
45 A feed-back approach to error control in finite element meth.. - Becker, Rannacher - 1996
42 Pitman Research Notes in Mathematics Series (context) - Bramble, methods - 1993
39 A posteriori error estimates for elliptic problems in two an.. - Bornemann, Erdmann et al. - 1996
37 Adaptive finite element methods in computational mechanics (context) - Johnson, Hansbo - 1992
35 Finite Elements for Electrical Engineers (context) - Silvester, Ferrari - 1990
34 Vector potential in three--dimensional nonsmooth domains (context) - Amrouche, Bernardi et al. - 1996
34 Tetrahedral grid refinement - Bey - 1995
33 Multilevel Schwarz methods for elliptic problems with discon.. - Dryja, Sarkis et al. - 1996
27 Geometric Integration Theory (context) - Whitney - 1957
25 Theorie und Numerik elliptischer Differentialgleichungen (context) - Hackbusch - 1986
25 Fields and Waves in Communication Electronics (context) - Ramo, Whinnery et al. - 1984
24 Absorbing boundary conditions for the finite-difference appr.. (context) - Mur - 1981
22 Multigrid Techniques (context) - Brandt
21 An adaptive finite element method for linear elliptic proble.. (context) - Eriksson, Johnson - 1988
19 Error estimates for adaptive finite element computations (context) - ska, Rheinboldt - 1978
18 Mixed finite elements in R (context) - N'ed'elec - 1980
16 A convergence analysis of Yee's scheme on nonuniform grids (context) - Monk, uli - 1994
14 Unified multilevel adaptive finite element methods for ellip.. (context) - Mitchell - 1988
14 Hierarchical a posteriori error estimators for mortar finite.. - Wohlmuth - 1997
14 Singularities of electromagnetic fields in polyhedral domain.. - Costabel, Dauge - 1997
12 the asymptotic exactness of Bank-Weiser's estimator (context) - Duran, Rodriguez - 1992
11 the use of the magnetic vector potential in the finite eleme.. (context) - Biro, Preis - 1989
11 A posteriori error estimators for the Raviart-Thomas element (context) - Braess, urth - 1996
10 Time-domain finite element methods (context) - Lee, Lee et al. - 1997
10 Canonical construction of finite elements (context) - Hiptmair - 1996
10 IEE Proc (context) - forms, of et al. - 1988
10 Adaptive techniques in the finite element method (context) - Zhu, Zienkiewicz - 1988
10 Mixed finite elements and the complex of Whitney forms (context) - Bossavit - 1988
9 Uniform convergence of multigrid v-cycle iterations for inde.. - Bramble, Kwak et al. - 1994
9 A posteriori error estimators for the Stokes equations (context) - urth - 1989
8 A new family of mixed finite elements in R (context) - of, elements et al. - 1986
8 Estimateur d'erreur a posteriori hi'erarchique (context) - Achchab, Agouzal et al. - 1995
8 A posteriori error estimates for the Stokes equations: A com.. (context) - Bank, Welfert - 1990
8 Overlapping Schwarz methods for vector valued elliptic probl.. - Hiptmair, Toselli - 1997
8 Time--discrete finite element schemes for Maxwell's equation.. (context) - Makridakis, Monk - 1995
8 Time-domain finite difference approach to the calculation of.. (context) - Zhang, Mei - 1988
7 Wiley--Teubner (context) - of, Error et al. - 1996
7 IEEE Trans (context) - equations, cavity et al. - 1990
7 Introduction to adaptive methods for differential equations (context) - Erikson, Estep et al. - 1995
7 Adaptive multilevel iterative techniques for nonconforming f.. - Hoppe, Wohlmuth - 1995
6 Magnetostatic and electrostatic problems in inhomogeneous an.. (context) - Fernandes, Gilardi - 1997
5 Error estimators for a mixed method (context) - Alonso - 1996
5 Multilevel solution of the time-harmonic Maxwell equations b.. (context) - Beck, Hiptmair - 1996
5 Numerische Methoden in der Berechnung elektromagnetischer Fe.. (context) - Kost - 1994
5 A comparison of formulations for the vector finite element a.. (context) - Dillon, Webb - 1994
5 A dispersion analysis of finite element methods for Maxwell'.. (context) - Monk, Parrot - 1994
4 Fully discrete finite element approaches for time-- dependen.. (context) - Ciarlet, Zou - 1996
4 The Finite Element Method in Electrodynamics (context) - Jin - 1993
4 Differential forms and electromagnetism in 3--dimensional Eu.. (context) - Baldomir - 1986
4 Die Diskretisierung der Maxwell--Gleichungen (context) - Weiland - 1986
4 boundary and hybrid element solution of the Maxwell equation.. (context) - Paulsen, Lynch et al. - 1993
4 boundary and hybrid element solutions of the Maxwell equatio.. (context) - Paulsen, Lynch et al. - 1988
4 Institut fur Mathematik (context) - for, equations et al. - 1997
4 An overview of the absorbing boundary conditions (context) - Cooray, Costache - 1991
3 iv: Nonlinear problems (context) - element, parabolic - 1995
3 Residual based a posteriori error estimators for curl--confo.. (context) - Beck, Hiptmair et al. - 1997
3 Computational Electromagnetics Using Boundary Elements (context) - Shen - 1994
3 Absorbing boundary conditions for the numerical solution of .. (context) - Engquist, Majda - 1977
3 University of Augsburg (context) - based, for et al. - 1997
3 Basic Formulation and Linear Problems (context) - Zienkiewicz, Taylor et al. - 1989
3 Compuational models of electromagnetic resonators: Analysis .. (context) - Boffi, Fernandes et al. - 1997
3 A posteriori error estimates and adaptive meshrefining for n.. (context) - Carstensen, Jansche
3 ators for mixed finite elements, Tech. Rep. 350, Math.--Nat... (context) - of, error - 1996
2 Numerical Methods for Problems in Infinire Domains (context) - Givoli - 1992
2 Finite element scheme for transient 3D eddy currents (context) - Leonard, Rodger - 1988
2 Use of Whitney edge and face element for efficient finite el.. (context) - Mahadevan, Mittra et al. - 1994
2 Methods for eddy current computation in three dimensions (context) - Biddlecomb, Heighway et al. - 1982
2 Performance of different vector potential formulations in so.. (context) - Biro, Preis et al. - 1990
2 An analysis of a mixed method for approximating Maxwell's eq.. (context) - Monk - 1991
2 Teubner--Verlag (context) - groer, Gleichungssysteme - 1991
2 Institut fur Mathematik (context) - error, curl et al. - 1998
2 analysis of Maxwell's equations for cavities of arbitrary sh.. (context) - Whealton, Chen et al. - 1988
2 Local mesh refinement in 2 and 3 dimensions (context) - Baensch - 1991
2 A new finite-difference time-domain algorithm formulation an.. (context) - Chen, Ney et al. - 1991
2 A ystyematic approach to the construction of higher order ve.. (context) - Yiailtsis, Tsiboukis - 1995
2 SFB 359 - Universitat Heidelberg (context) - error, FE et al. - 1996
1 Modelling and Numer (context) - edge-oriented, estimators et al. - 1996
1 A singular field method for the solution of Maxwell's equati.. (context) - Bonnet-BenDhia, Hazard et al. - 1997
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