LIST OF PUBLICATIONS (Martin Costabel) 2023 146: M. Costabel: Convergence of a simple discretization of the finite Hilbert transformation. Computers and Mathematics with Applications 150 (2023) 15-21. DOI : 10.1016/j.camwa.2023.09.004 HAL : hal-04043771, arXiv : 2303.13693 145: M. Costabel, M. Dauge, Kh. Nedaiasl: Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations. Integral Equations and Operator Theory 95:29 (2023) DOI : 10.1007/s00020-023-02750-7 HAL : hal-04004998, arXiv : 2302.13159 2020 144: M. Costabel, M. Dauge, J.-Q. Hu: Characterization of Sobolev spaces by their Fourier coefficients in axisymmetric domains. Calcolo (2023) 60:15, 1-37 https://doi.org/10.1007/s10092-023-00504-w HAL : hal-02500415, arXiv : 2004.07216 2018 143: M. Costabel, M. Dauge: Maxwell eigenmodes in product domains. In: Maxwell's Equations, Analysis and Numerics (eds U. Langer, D. Pauly, S. I. Repin). Radon Series on Computational and Applied Mathematics, De Gruyter 2019. HAL : hal-01868250, arXiv : 1809.01509 2017 142: M. Costabel, F. Sayas: Time-Dependent Problems with the Boundary Integral Equation Method. In: Encyclopedia of Computational Mechanics Second Edition (eds E. Stein, R. Borst and T. J. Hughes). John Wiley & Sons, Ltd. 2017. DOI :10.1002/9781119176817.ecm2022 HAL : hal-02333185 141: M. Costabel: On the limit Sobolev regularity for Dirichlet and Neumann problems on Lipschitz domains. Math. Nachr. 292 (2019), 2165-2173. HAL : hal-01638088; arXiv : 1711.07179 DOI : 10.1002/mana.201800077 140: M. Costabel, M. Dalla Riva, M. Dauge, P. Musolino: Converging expansions for Lipschitz self-similar perforations of a plane sector. Integral Equations and Operator Theory 88(3) (2017), 401-449. DOI : 10.1007/s00020-017-2377-7 HAL: hal-01482187 ; arXiv : 1703.01124 2016 139: C. Bernardi, M. Costabel, M. Dauge, V. Girault: Continuity properties of the inf-sup constant for the divergence. SIAM J. Math. Anal. 48(2) (2016), 1250-1271. HAL : hal-01215296 ; arXiv : 1510.03978 DOI : 10.1137/15M1044989 2015 138: M. Costabel: Inequalities of Babuska-Aziz and Friedrichs-Velte for differential forms. Operator Theory: Advances and Applications, Vol. 258, 79-88. Springer International Publishing 2017. HAL : hal-01181963 ; arXiv : 1507.08464 137: M. Costabel, E, Darrigrand, H. Sakly: Volume integral equations for electromagnetic scattering in two dimensions. Computers and Mathematics with Applications 70(8) (2015), 2087-2101. DOI : 10.1016/j.camwa.2015.08.026 HAL : hal-01145730 ; arXiv : 1505.05429 2014 136: M. Costabel: On the Spectrum of Volume Integral Operators in Acoustic Scattering. Integral Methods in Science and Engineering. C. Constanda, A. Kirsch (Eds.), Birkhaeuser 2015, pp. 119-127. DOI : 10.1007/978-3-319-16727-5_11 HAL : hal-01098834 ; arXiv : 1412.8685 135: M. Costabel, M. Crouzeix, M.Dauge, Y. Lafranche: The inf-sup constant for the divergence on corner domains. Numer. Methods Partial Differential Equations 31 (2015), no. 2, 439-458. HAL : hal-00947143 ; arXiv : 1402.3659 2013 134: M.Costabel, M.Dauge: On the inequalities of Babuska-Aziz, Friedrichs and Horgan-Payne. Arch. Rational Mech. and Anal. 217(3) (2015), 873-898. DOI: 10.1007/s00205-015-0845-2 HAL : hal-00804385 ; arXiv : 1303.6141 133: M. Dauge, C. Bernardi, M. Costabel, V. Girault: On Friedrichs constant and Horgan-Payne angle for LBB condition. Twelfth International Conference Zaragoza-Pau on Mathematics, 87-100, Monogr. Mat. Garcia Galdeano, 39, Prensas Univ. Zaragoza, Zaragoza, 2014. HAL : hal-00797642 2012 132: S. Shannon, Z. Yosibash, M. Dauge, M. Costabel: Primal and Shadow functions, Dual and Dual-Shadow functions for a circular crack and a circular 90 degree V-notch with Neumann boundary conditions. HAL : hal-00765619 ; arXiv : 1212.4327 131: S. Shannon, Z. Yosibash, M. Dauge, M. Costabel: Extracting generalized edge flux intensity functions by the quasidual function method along circular 3-D edges. International Journal of Fracture 181, 1 (2013) 25-50. 130: M. Costabel, M. Dauge, S. Nicaise: Weighted analytic regularity in polyhedra. Comput. Math. Appl. 67, 4 (2014) 807-817. 129: M. Costabel, F. Le Louer: Shape derivatives of boundary integral operators in electromagnetic scattering. Part II: Application to scattering by a homogeneous dielectric obstacle. Integr. Equ. Oper. Theory 73(1) (2012) 17-48. DOI: 10.1007/s00020-012-1955-y 128: M. Costabel, F. Le Louer: Shape derivatives of boundary integral operators in electromagnetic scattering. Part I: Shape differentiability of pseudo-homogeneous boundary integral operators. Integr. Equ. Oper. Theory 72(4) (2012) 509-535. DOI: 10.1007/s00020-012-1954-z 127: M. Costabel, E. Darrigrand, H. Sakly The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous body. C. R. Acad. Sci. Paris, Ser. I 350 (2012) 193-197. HAL: hal-00646229 2011 126: Z. Yosibash, S. Shannon, M. Dauge, M. Costabel: Circular edge singularities for the Laplace equation and the elasticity system in 3-D domains. Int. J. Fract. 168 (2011) 31-52. 2010 125. M. Costabel, A. McIntosh, R. J. Taggart: Potential maps, Hardy spaces, and tent spaces on special Lipschitz domains. Publ. Mat. 57, 2 (2013) 295-331. Prepublication IRMAR 10-39, June 2010. HAL: hal-00490854 ; arXiv : 1006.0562 124. M. Costabel: p version edge element approximation of the Maxwell eigenvalue problem. In: Computational Electromagnetism and Acoustics (R. Hiptmair, R. H. W. Hoppe, P. Joly, U. Langer, Eds.) Oberwolfach Reports Vol. 7 (2010). 123. M. Costabel, M. Dauge, S. Nicaise: Analytic regularity for linear elliptic systems in polygons and polyhedra. HAL: hal-00454133 ; arXiv : 1002.1772 Mathematical Models and Methods in Applied Sciences Vol. 22, No. 8 (2012) 1250015 (63 pages). 122. M. Costabel, F. Le Louer: Shape derivatives of boundary integral operators in electromagnetic scattering. HAL: hal-00453948 ; arXiv : 1002.1541v2 121. M. Costabel, M. Dauge, S. Nicaise: Corner Singularities and Analytic Regularity for Linear Elliptic Systems. Part I: Smooth domains. Prepublication IRMAR 10-09, February 2010. HAL: hal-00453934 2009 120. M. Costabel, F. Le Louer: On the Kleinman-Martin integral equation method for electromagnetic scattering by a dielectric body. SIAM J. Appl. Math. 71 (2011), 635-656. HAL: hal-00439221 ; arXiv : 0912.1419 119. D. Boffi, M. Costabel, M. Dauge, L. Demkowicz, R. Hiptmair: Discrete compactness for the p-version of discrete differential forms. IRMAR-Preprint 09-39, Universite Rennes 1 2009. HAL: hal-00420150 ; arXiv : 0909.5079 SIAM J. Numer. Anal. 49, No. 1 (2011), 135-158. 118. M. Costabel, M. Dauge, S. Nicaise: Analysis of Weighted Sobolev Spaces with Nonhomogeneous Norms on Cones. In: Around the Research of Vladimir Maz'ya I - Function Spaces, 105-136. (Ari Laptev, Ed.), International Mathematical Series Volume 11, Springer 2010. 2008 117. M. Costabel, A. McIntosh: On Bogovskii and regularized Poincare integral operators for de Rham complexes on Lipschitz domains. Math. Z. 265, No 2 (2010), 297-320. 116. M. Costabel: The volume integral equation in time-harmonic dielectric scattering. Talk at the Workshop "BEM on the Saar". Saarbruecken University 2008. 115. E. H. Kone, M. Costabel, E. Darrigrand: Volume and surface integral equations for electromagnetic scattering by a dielectric body. In Analysis of Boundary Element Methods (M. Costabel, E. Stephan, Eds.) Oberwolfach Reports Vol. 5, No 2 (2008), 988-990. 114. F. Le Louer, M. Costabel: On domain derivatives of the solution to the electromagnetic transmission problem. In Analysis of Boundary Element Methods (M. Costabel, E. Stephan, Eds.) Oberwolfach Reports Vol. 5, No 2 (2008), 967-969. 113. M. Costabel, E. Stephan (Eds.): Analysis of Boundary Element Methods. Report No 19/2008. Oberwolfach Reports Vol. 5, No 2 (2008), 953-1029. 112. M. Costabel, M. Dauge, L. Demkowicz: Polynomial extension operators for H1, H(curl) and H(div) spaces on a cube. Math. Comp. 77 (2008), 1967-1999. 2007 111. M. Costabel, E. Darrigrand, E. H. Kone: Volume and surface integral equations for electromagnetic scattering by a dielectric body. Manuscript 1/12/2007. Published online: 12/08/2009, doi:10.1016/j.cam.2009.08.033 J. Comput. Appl. Math. 234 (2010), 1817-1825. 110. M. Costabel: Some historical remarks on the positivity of boundary integral operators. Ch. 1 of Boundary Element Analysis - Mathematical Aspects and Applications (M. Schanz, O. Steinbach, Eds.) Lecture Notes in Applied and Computational Mechanics. Vol 29, 1-27. Springer, Berlin 2007. 2006 109. M. Costabel: The biharmonic double layer potential on Lipschitz domains. Talk at the Conference "Mafelap", Brunel University 2006. 108. G. Caloz, M. Costabel, M. Dauge, G. Vial: Asymptotic expansion of the solution of an interface problem in a polygonal domain with thin layer. Asymptotic Analysis 50, No 1-2 (2006), 121-173. 107. D. Boffi, M. Costabel, M. Dauge, L. Demkowicz: Discrete compactness for the hp version of rectangular edge finite elements. SIAM J. Numer. Anal. 44 (2006), 979-1004 106. M. Costabel, M. Dauge, S. A. Nazarov, J. Sokolowski: Analysis of crack singularities in an aging elastic material. M2AN 40, No 3 (2006) 553-595. 2005 105. Z. Yosibash, N. Omer, M. Costabel, M. Dauge: Edge stress intensity functions in polyhedral domains and their extraction by a quasidual function method. International J. Fracture 136, No 1-4 (2005), 37-73. 104. A. Buffa, M. Costabel, M. Dauge: Algebraic convergence for anisotropic edge elements in polyhedral domains. Numer. Math. 101 (2005), no. 1, 29-65. 103. M. Costabel, M. Dauge, C. Schwab: Exponential convergence of the Weighted Regularization Method for Maxwell eigenvalue problems. Proceedings of the 9th International Conference on Electromagnetics in Advanced Applications, Torino, Italy, September 2005 (2005), 849-852. 102. M. Costabel, M. Dauge, C. Schwab: Exponential convergence of hp-FEM for Maxwell's equations with Weighted Regularization in polygonal domains. M3AS 15, No 4 (2005), 575--622. 2004 101. M. Costabel, M. Dauge, S. Nicaise: Singularities of electromagnetic fields in the eddy current limit. In Computational Electromagnetism (R. Hiptmair, Ed.) Oberwolfach Reports, Vol. 1, No 1 (2004), 575-579. 100. N. Omer, Z. Yosibash, M. Costabel, M. Dauge: Edge flux intensity functions in polyhedral domains and their extraction by a quasidual function method. International J. Fracture 129 (2004), 97-130. 99. M. Costabel: Time-dependent problems with the boundary integral equation method. Chapter 25 of Encyclopedia of Computational Mechanics. (E. Stein, R. de Borst, T.J.R Hughes, Eds.) John Wiley 2004, 703-721. http://www.wiley.co.uk/ecm/ 98. M. Costabel, M. Dauge, S. Nicaise: Singularities of Maxwell interface and eddy current problems Operator Theoretical Methods and Applications to Mathematical Physics - The Erhard Meister Memorial Volume. (I. Gohberg, A.F. dos Santos, F.-O. Speck, F.S. Teixeira, W. Wendland, Eds.) Operator Theory: Advances and Applications 147, 241-256. Springer Verlag / Birkhaeuser 2004. 97. M. Costabel, M. Dauge, Z. Yosibash: A quasidual function method for the computation of edge stress intensity functions. SIAM J. Math. Anal. 35, No 5 (2004) 1177-1202. 2003 96. M. Costabel, M. Dauge, S. Nicaise: Singularities of eddy current problems. M2AN 37, No 5 (2003) 807-831. 95. D. Boffi, L. Demkowicz, M. Costabel: Discrete compactness for p and hp 2D edge finite elements. M3AS 13, No. 11 (2003) 1673-1687. 94. M. Costabel, M. Dauge, R. Duduchava: Asymptotics without logarithmic terms for crack problems Comm. PDE 28 (2003), no. 5-6, 869--926. 93. M. Costabel, M. Dauge: Computation of resonance frequencies for Maxwell equations in non smooth domains. Topics in Computational Wave Propagation. (M. Ainsworth, P. Davies, D. Duncan, P. Martin, B. Rynne, Eds.) Lecture Notes in Computational Science and Engineering. Vol. 31, Springer 2003, 125-161. 92. A. Buffa, M. Costabel, M. Dauge: Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron. C. R. Acad. Sci. Paris Ser. I 336 (2003) 565-570. 91. M. Costabel, C. Safa: A wavelet approximation method for the integral equations of an antenna problem. Numerical Mathematics and Advanced Applications - ENUMATH 2001. F. Brezzi, A. Buffa, S. Corsaro, A. Murli, Eds. Springer, Milano 2003, 265-272. 90. M. Costabel, M. Dauge, D. Martin, G. Vial: Weighted regularization of Maxwell equations - Computations in curvilinear polygons. Numerical Mathematics and Advanced Applications - ENUMATH 2001. F. Brezzi, A. Buffa, S. Corsaro, A. Murli, Eds. Springer, Milano 2003, 273-280. 89. M. Costabel, J. Saranen: The spline collocation for parabolic boundary integral operators on smooth curves. Numer. Math. 93 (2003), no. 3, 549-562. 2002 88. M. Costabel, M. Dauge: Weighted regularization of Maxwell equations in polyhedral domains. Numer. Math. 93 (2002), no 2, 239-278. 87. A. Buffa, M. Costabel, C. Schwab: Boundary element methods for Maxwell's equations on non-smooth domains. Numer. Math. 92 (2002), no. 4, 679-710. 86. A. Buffa, M. Costabel, D. Sheen: On traces for H(curl;Omega) in Lipschitz domains. J. Math. Anal. Appl. 276 (2002) 845-867. 85. M. Costabel, M. Dauge: Crack singularities for general elliptic systems. Math. Nachr. 235 (2002), 29-49. 2001 84. M. Costabel, J. Saranen: Parabolic boundary integral operators : Symbolic representation and basic properties. Integral Equations Oper. Theory 40 (2001) 185-211. 83. M. Costabel, M. Dauge, Y. Lafranche: Fast semi-analytic computation of elastic edge singularities. Comput. Methods Appl. Mech. Engrg. 190 (2001) 2111-2134. 2000 82. M. Costabel, M. Dauge, D. Martin: Numerical investigation of a boundary penalization method for Maxwell equations. P. Neittaanmaeki, T. Tiihonen, P. Tarvainen (Eds.), Proceedings of the 3rd European Conference "Numerical Mathematics and Advanced Applications, ENUMATH99." World Scientific Publishing, Singapore 2000, 214-221. 81. M. Costabel, M. Dauge: Singularities of electromagnetic fields in polyhedral domains. Arch. Rational Mech. Anal. 151 (2000) 3, 221-276. 80. M. Costabel, J. Saranen: Spline collocation for convolutional parabolic boundary integral equations. Numer. Math. 84 (2000), no. 3, 417-449. 1999 79. M. Costabel, M. Dauge, S. Nicaise: Singularities of Maxwell interface problems. Math. Mod. Num. Anal. 33 (1999) 627-649. 78. M. Costabel, M. Dauge: Maxwell and Lame eigenvalues on polyhedra. Math. Meth. Appl. Sci. 22 (1999) 243-258. 1998 77. M. Costabel, M. Dauge: Un resultat de densite pour les equations de Maxwell regularisees dans un domaine lipschitzien. C. R. Acad. Sci. Paris. SErie I 327 (1998) 849-854. 76. M. Costabel, M. Dauge, M. Suri: Numerical approximation of a singularly perturbed contact problem. Comput. Methods Appl. Mech. Engrg. 157 (1998) 349-363. 75. M. Costabel, M. Dauge: Singularities of Maxwell's equations on polyhedral domains. M. Bach, C. Constanda, G. C. Hsiao et. al. (Eds.), Analysis, Numerics and applications of differential and integral equations. Pitman Research Notes in Mathematics Series 379, 1998, pages 69-76. 1997 74. F. B. Ben Belgacem, C. Bernardi, M. Costabel, M. Dauge: Un resultat de densite pour les equations de Maxwell. C. R. Acad. Sci. Paris Serie I 324, 1997, 731-736. 73. M. Costabel, M. Dauge: Singularites des equations de Maxwell dans un polyedre. C. R. Acad. Sci. Paris SErie I 324, 1997, 1005-1010. 72. M. Costabel, M. Dauge: Solvability of a system of integral equations for clamped plates. Proceedings of the IABEM Symposium, Pontignano 1995. L. Morino, W. L. Wendland (Eds.), Boundary Integral Methods for Nonlinear Problems, Kluwer, Dordrecht 1997, pages 41-46. 71. M. Costabel, M. Dauge: On representation formulas and radiation conditions. Math. Meth. Appl. Sci. 20 (1997) 133-150. 1996 70. M. Costabel, M. Dauge: A singularly perturbed mixed boundary value problem. Comm. PDE 21 (1996) 1919-1949. 69. M. Costabel, M. Dauge: Invertibility of the biharmonic single layer potential operator. Integral Equations Oper. Theory 19 (1996) 46-67. 1994 68. M. Costabel, M. Dauge: Stable asymptotics for elliptic systems on plane domains with corners. Comm. PDE 19 (1994) 1677-1726. 67. M. Costabel, M. Dauge, S. Nicaise: Boundary Value Problems and Integral Equations in Nonsmooth Domains. Lecture Notes in Pure and Applied Mathematics, vol. 167, Marcel Dekker, New York - Basel - Hong Kong 1995. 66. M. Costabel, M. Dauge: Computation of corner singularities in linear elasticity. In [67], pages 59-68. 65. M. Costabel: Developments in Boundary Element Methods for Time-Dependent Problems. Proceedings of the 10. TMP, Chemnitz, September 1993. L. Jentsch, F. Tr^ltzsch (eds.), Problems and Methods in Mathematical Physics, B. G. Teubner, Leipzig 1994, pages 17-32. 1993 64. M. Costabel, F. Penzel, R. Schneider: Convergence of boundary element collocation methods for Dirichlet and Neumann screen problems in R^3. Applicable Anal. 49 (1993) 101-117. 63. M. Costabel, V. Ervin, E. Stephan: Quadrature and collocation methods for the double layer potential on polygons. Z. Anal. Anw. 12 (1993) 4, 699-707. 62. M. Costabel, M. Dauge: Constructions of corner singularities for Agmon-Douglis-Nirenberg elliptic systems. Math. Nachr. 162 (1993) 209-237. 61. M. Costabel, M. Dauge: General edge asymptotics of solutions of second order elliptic boundary value problems II. Proc. Royal Soc. Edinburgh 123A (1993) 157-184. 60. M. Costabel, M. Dauge: General edge asymptotics of solutions of second order elliptic boundary value problems I. Proc. Royal Soc. Edinburgh 123A (1993) 109-155. 1992 59. M. Costabel, M. Dauge, M. Scavennec: An inverse Dirichlet problem for the Helmholtz equation. Preprint CeReMaB 9201, Universite Bordeaux 1, 1992. 58. M. Costabel, M. Dauge: Singularites d'aretes pour les probleemes aux limites elliptiques. Journees "Equations aux derivees partielles", Saint-Jean-de-Monts, SMF 1992, pages IV-1 - IV-12. 57. M. Costabel, F. Penzel, R. Schneider: A collocation method for a screen problem in R^3. B.-W. Schulze, H. Triebel (Eds.), Symposium "Analysis in Domains and on Manifolds with Singularities", Breitenbrunn 1990, Teubner-Texte zur Mathematik, Vol. 131. B. G. Teubner, Leipzig 1992, pages 43-50. 56. M. Costabel, M. Dauge: Edge asymptotics on a skew cylinder: Complex variable form. W. Zajaczkowski, B. Ziemian (Eds.), Partial Differential Equations, Banach Center Publications, Volume 27, Polish Academy of Sciences, Warszawa 1992, pages 81-90. 55. M. Costabel, M. Dauge: Edge asymptotics on a skew cylinder. B.-W. Schulze, H. Triebel (Eds.), Symposium "Analysis in Domains and on Manifolds with Singularities", Breitenbrunn 1990, Teubner-Texte zur Mathematik, Vol. 131. B. G. Teubner, Leipzig 1992, pages 28-42. 54. M. Costabel, F. Penzel, R. Schneider: Error analysis of a boundary element collocation method for a screen problem in R^3. Math. Comp. 58, No 198 (1992) 575-586. 53. M. Costabel, W. McLean: Spline collocation for strongly elliptic equations on the torus. Numer. Math. 62 (1992) 511-538. 1991 52. M. Costabel, W. McLean: Global symbols of boundary integral operators on the torus. Chandler (Ed.), Proceedings of the Conference on Integral Equations, Canberra 1990, ANU, Centre for Mathematical Analysis 1991. 51. M. Costabel, M. Dauge: Developpement asymptotique le long d'une arete pour des equations elliptiques d'ordre 2 dans R^3. C. R. Acad. Sci. Paris, t.312, SErie I (1991) 227-232. 50. M. Costabel: A coercive bilinear form for Maxwell's equations. J. Math. Anal. Appl. 157, No 2 (1991), 527-541. 49. M. Costabel, V. Ervin, E. Stephan: Experimental convergence rates for various coupling methods of finite element and boundary elements. Mathl Comput. Modelling 15 (1991) 93-102. 1990 48. M. Costabel, M. Dauge: Singularites d'arete sur un cylindre oblique pour les solutions de probleemes aux limites elliptiques de second ordre. Sem. Equations aux derivees partielles, Nantes 1989, 129-148. 47. M. Costabel, V. Ervin, E. Stephan: Experimental asymptotic convergence of the collocation method for bound- ary integral equations on polygons governing Laplace's equation. Computational Mechanics 6 (1990) 271-278. 46. M. Costabel, E. Stephan: Coupling of finite element and boundary element methods for an elasto- plastic interface problem. SIAM J. Num. Anal. 27, No 5 (1990) 1212-1226. 45. M. Costabel, V. Ervin, E. Stephan: Symmetric coupling of finite element and boundary element methods for a parabolic-elliptic interface problem. Quarterly Appl. Math. 48, No 2 (1990) 265-279. 44. M. Costabel: Boundary integral operators for the heat equation. Integral Equations Oper. Theory 13 (1990) 498-552. 43. M. Costabel: A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains. Math. Meth. Appl. Sci. 12 (1990) 365-368. 42. M. Costabel, E. Stephan: Integral equations for transmission problems in elasticity. J. Integral Equations and Applications 2 (1990) 211-223. 1989 41. M. Costabel, J. Saranen: Boundary element analysis of a direct method for the biharmonic Dirichlet problem. H. Dym, S. Goldberg et. al. (Eds.). The Gohberg Anniversary Collection II, Operator Theory: Advances and Applications, Vol. 41, Birkhaeuser Verlag, Basel 1989, 77-95. 40. M. Costabel: On the coupling of finite and boundary element methods. O. Celebi, B. Karasoezen (Eds.), International Symposium on Numerical Analysis, Ankara 1987. METU, Ankara 1989, 1-14. 1988 39. M. Costabel: Coupling of FEM and BEM for the numerical solution of the problem of electromagnetic scattering from an inhomogeneous body. S. N. Atluri (Ed.), International Conference on Computational Engineering Science, ICES-88 Atlanta, Springer-Verlag 1988, Vol. 1, 5.v.i-5.v.iv. 38. M. Costabel, E. Stephan: Duality estimates for numerical solutions of integral equations. Numer. Math. 54 (1988) 339-353. 37. M. Costabel, V. Ervin, E. Stephan: On the convergence of collocation methods for Symm's integral equation on open curves. Math. Comp. 51 (1988) 167-179. 36. M. Costabel, E. Stephan: Strongly elliptic boundary integral equations for electromagnetic transmission problems. Proc. Royal Soc. Edinburgh 109 A (1988) 271-296. 35. M. Costabel, E. Stephan: Coupling of finite elements and boundary elements for inhomogeneous transmission problems in R^3. J. R. Whiteman (Ed.), Proc. 6th Conf. on The Mathematics of Finite Elements and Applications VI, Uxbridge 1987 (MAFELAP 1987). Academic Press 1988, pages 289-296. 34. M. Costabel: A symmetric method for the coupling of finite elements and boundary elements. J. R. Whiteman (Ed.), Proc. 6th Conf. on The Mathematics of Finite Elements and Applications VI, Uxbridge 1987 (MAFELAP 1987). Academic Press 1988, pages 281-288. 33. M. Costabel: Boundary integral operators on Lipschitz domains: Elementary results. SIAM J. Math. Anal. 19 (1988) 613-626. 1987 32. M. Costabel, E. Stephan: Coupling of finite elements and boundary elements for transmission problems of elastic waves in R^3. T. A. Cruse et al. (Eds.), Proc. Symposium on Advanced Boundary Element Methods, San Antonio 1987, Springer-Verlag 1987, pages 117-124. 31. M. Costabel, K. Onishi, W. L. Wendland: A boundary element Galerkin method for the Neumann problem of the heat equation. H. W. Engl, C. W. Groetsch (Eds.), Inverse and Ill-posed Problems, Academic Press 1987, pages 369-384. 30. M. Costabel, E. Stephan: On the convergence of collocation methods for boundary integral equations on polygons. Math. Comp. 49 (180) (1987) 461-478. 29. M. Costabel: Symmetric methods for the coupling of finite elements and boundary elements. C. A. Brebbia, W. L. Wendland (Eds.), BEM IX (Stuttgart 1987), Springer-Verlag 1987, Vol. 1, 411-420. 28. M. Costabel, E. Stephan: A Galerkin method for a three-dimensional time-dependent interface problem in electromagnetics. Lecture Notes, Workshop on "Electromagnetisme - MagnEtostatique, ProblEemes non linEaires appliquEs", INRIA, Rocquencourt 1987. 27. M. Costabel, I. Lusikka, J. Saranen: Comparison of three boundary element approaches for the solution of the clamped plate problem. C. A. Brebbia, W. L. Wendland (Eds.), BEM IX (Stuttgart 1987), Springer-Verlag 1987, Vol. 2, 19-34. 26. M. Costabel: Principles of Boundary Element Methods. Lectures at the "First graduate summer course in computational physics: Finite Elements in Physics", Lausanne 1986. Computer Physics Reports 6 (1987) 243-274. 25. M. Costabel, E. Stephan: An improved boundary element Galerkin method for three-dimensional crack problems. Integral Equations Oper. Theory 10 (1987) 467-504. 1986 24. M. Costabel, E. Stephan: Collocation methods for integral equations on polygons. R. P. Shaw et al. (Eds.), Innovative Numerical Methods in Engineering, Proceedings of the 4th International Symposium. Springer-Verlag 1986, pages 43-50. 23. M. Costabel, E. Stephan: A boundary element method for three-dimensional crack problems. R. P. Shaw et al. (Eds.), Innovative Numerical Methods in Engineering, Proceedings of the 4th International Symposium. Springer-Verlag 1986, pages 351-360. 22. M. Costabel, W. L. Wendland: Strong ellipticity of boundary integral operators. J. Reine Angew. Math. 372 (1986) 34-63. 1985 21. M. Costabel, E. Stephan: A direct boundary integral equation method for transmission problems. J. Math. Anal. Appl. 106 (1985) 367-413. 20. M. Costabel, E. Stephan: Boundary integral equations for mixed boundary value problems on polygonal plane domains and Galerkin approximation. W. Fiszdon, K. Wilma'nski (Eds.), Mathematical Models and Methods in Mechanics 1981. Banach Center Publications Vol. 15, Warschau 1985, 175-251. 1984 19. M. Costabel: (Habilitation thesis) Starke Elliptizitaet von Randintegraloperatoren erster Art. THD-Preprint 868, Darmstadt 1984. 18. M. Costabel, E. Stephan: Boundary integral equations for Helmholtz transmission problems and Galerkin approximation. ZAMM 64 (1984) T356-T358. 17. M. Costabel, E. Stephan: The method of Mellin transformation for boundary integral equations on curves with corners. A. Gerasoulis, R. Vichnevetsky (Eds.), Numerical Solutions of Singular Integral Equations. IMACS, New Brunswick, N.J. 1984, 95-102. 1983 16. M. Costabel, E. Stephan: The normal derivative of the double layer potential on polygons and Galerkin approximation. Applicable Anal. 16 (1983) 205-228. 15. M. Costabel: Boundary integral operators on curved polygons. Ann. di Mat. pura ed appl. Ser. IV a, 133 (1983) 305-326. 14. M. Costabel, E. Stephan: Curvature terms in the asymptotic expansion for solutions of boundary integral equations on curved polygons. J. Integral Equations 5 (1983) 353-371. 13. M. Costabel, E. Stephan, W. L. Wendland: On boundary integral equations of the first kind for the bi-Laplacian in a polygonal plane domain. Ann. Scuola Norm. Sup. Pisa, Ser. IV, Vol. X (1983) 197-241. 1982 12. M. Costabel, E. Stephan, W. L. Wendland: Zur Randintegralmethode f,r das erste Fundamentalproblem der ebenen Elastizitaetstheorie auf Polygongebieten. H. Kurke et al. (Eds.), Recent Trends in Mathematics, Reinhardsbrunn 1982. B. G. Teubner, Leipzig 1982, 56-68. 11. M. Costabel: On the algebra generated by one-dimensional singular integral operators with piecewise continuous coefficients. I. C. Gohberg (Ed.), Toeplitz Centennial. Operator Theory: Advances and Applications Vol. 4, Birkhaeuser Verlag, Basel 1982, 211-215. 10. M. Costabel: Singulaere Integralgleichungen mit Carlemanscher Verschiebung auf Kurven mit Ecken. Math. Nachr. 109 (1982) 29-37. 1981 9. M. Costabel, E. Stephan: Boundary integral equations for mixed boundary value problems on polygonal plane domains and Galerkin approximation. R. Vichnevetsky, R. S. Stepleman (Eds.), Proc. IMACS IV (1981) 300-304. 1980 8. M. Costabel: An inverse for the Gohberg-Krupnik symbol map. Proc. Royal Soc. Edinburgh 87A (1980) 153-165. 7. M. Costabel: Singular integral operators on curves with corners. Integral Equations Oper. Theory 3 (1980) 323-349. 6. M. Costabel: Fredholm theory of one-dimensional singular integral operators with Carleman shift. M. Kisielewicz (Ed.), Functional-Differential Systems and Related Topics. 1st International Conference at Blazejewko 1979. The Higher College of Engineering. Zielona Gora 1980, 72-77. 1979 5. M. Costabel: A contribution to the theory of singular integral equations with Carleman shift. Integral Equations Oper. Theory 2 (1979) 11-24. 1978 4. M. Costabel: A singular integral operator related to the one-sided Hilbert transformation. Integral Equations Oper. Theory 1 (1978) 137-151. 1977 3. M. Costabel: (PhD Thesis) Kausale Distributionen und ihre Anwendung auf eine Klein-Gordon-Gleichung mit Potentialterm. 163 p., Darmstadt 1977. 1976 2. M. Costabel: Eine eindimensionale Integralgleichung mit Feynmanschem Kern II. Methoden Verfahren Math. Phys. 16 (1976) 81-89. 1. M. Costabel: Eine eindimensionale Integralgleichung mit Feynmanschem Kern. Methoden Verfahren Math. Phys. 15 (1976) 115-160.