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Publication Cover
Applicable Analysis
An International Journal
Volume 16, 1983 - Issue 2
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Original Articles

A boundary element method for an exterior problem for three-dimensional maxwell’s equations

R. C. Maccamy Carnegie-Mellon University, Pittsburgh, Pa, U.S.A.
&
E. Stephan Technische Hochschule, Darmstadt, Germany
Pages 141-163 | Published online: 02 May 2007

Citations (21)

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F. Leydecker, M. Maischak, E.P. Stephan & M. Teltscher. (2012) A p-hierarchical error estimator for a fe–be coupling formulation applied to electromagnetic scattering problems in ℝ3 . Applicable Analysis 91:2, pages 277-293.
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L. Päivärinta & Stephan Rempel. (1987) A deconvolution problem with the kernel 1/[x] on the plane. Applicable Analysis 26:2, pages 105-128.
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Articles from other publishers (19)

Jorge Eliécer Ospino Portillo, Matthias Maischak & Zouhair Nezhi. (2022) A Boundary Element Procedure for 3D Electromagnetic Transmission Problems with Large Conductivity. Mathematics 10:7, pages 1148.
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Joachim Gwinner & Ernst Peter StephanJoachim Gwinner & Ernst Peter Stephan. 2018. Advanced Boundary Element Methods. Advanced Boundary Element Methods 63 93 .
Khalil Maatouk. (2014) Discrete boundary finite element schemes for an exterior problem for the time-harmonic Maxwell’s equation. Applied Mathematics and Computation 242, pages 361-387.
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Florian Leydecker, Matthias Maischak, Ernst P. Stephan & Matthias Teltscher. (2013) A P-HIERARCHICAL ERROR ESTIMATOR FOR A FEM-BEM COUPLING OF AN EDDY CURRENT PROBLEM IN ℝ 3 -DEDICATED TO PROFESSOR WOLFGANG L. WENDLAND ON THE OCCASION OF HIS 75TH BIRTHDAY . Journal of the Korea Society for Industrial and Applied Mathematics 17:3, pages 139-170.
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Alexei Bespalov & Norbert Heuer. (2011) Natural hp ‐BEM for the electric field integral equation with singular solutions . Numerical Methods for Partial Differential Equations 28:5, pages 1466-1480.
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Catalina Domínguez, Ernst P. Stephan & Matthias Maischak. (2012) FE/BE coupling for an acoustic fluid-structure interaction problem. Residual a posteriori error estimates. International Journal for Numerical Methods in Engineering 89:3, pages 299-322.
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Florian Leydecker, Matthias Maischak, Ernst P. Stephan & Matthias Teltscher. (2010) Adaptive FE-BE coupling for an electromagnetic problem in ℝ3-A residual error estimator. Mathematical Methods in the Applied Sciences 33:18, pages 2162-2186.
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Ricardo A. Prato Torres, Ernst P. Stephan & Florian Leydecker. (2010) A FE/BE coupling for the 3D time-dependent eddy current problem. Part I: a priori error estimates. Computing 88:3-4, pages 131-154.
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Carsten Carstensen, Norbert Heuer & Matthias Maischak. (2009) Special Issue. Applied Numerical Mathematics 59:11, pages 2695-2697.
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E. P. Stephan, M. Maischak & F. Leydecker. (2006) An hp-adaptive finite element/boundary element coupling method for electromagnetic problems. Computational Mechanics 39:5, pages 673-680.
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E.P. Stephan & M. Maischak. (2005) A posteriori error estimates for fem–bem couplings of three-dimensional electromagnetic problems. Computer Methods in Applied Mechanics and Engineering 194:2-5, pages 441-452.
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Dongwoo Sheen. (1997) Approximation of Electromagnetic Fields: Part I. Continuous Problems. SIAM Journal on Applied Mathematics 57:6, pages 1716-1736.
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Toufic Abboud & Jean-Claude Nédélec. (1992) Electromagnetic waves in an inhomogeneous medium. Journal of Mathematical Analysis and Applications 164:1, pages 40-58.
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Martin Costabel. (1991) A coercive bilinear form for Maxwell's equations. Journal of Mathematical Analysis and Applications 157:2, pages 527-541.
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J. Bielak & R. C. MacCamy. (1991) Symmetric finite element and boundary integral coupling methods for fluid-solid interaction. Quarterly of Applied Mathematics 49:1, pages 107-119.
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Martin Costabel & Ernst P. Stephan. (2011) Strongly elliptic boundary integral equations for electromagnetic transmission problems. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 109:3-4, pages 271-296.
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Ernst P. Stephan. (2011) Boundary integral equations for magnetic screens in ℝ 3 . Proceedings of the Royal Society of Edinburgh: Section A Mathematics 102:3-4, pages 189-210.
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W. L. Wendland. 1985. Time-dependent and Vibration Problems. Time-dependent and Vibration Problems 230 257 .
W. L. Wendland. 1985. Time-dependent and Vibration Problems. Time-dependent and Vibration Problems 230 257 .

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