Edit Profile (opens in new tab) Elschner, Johannes Compute Distance To: Compute Author ID: elschner.johannes Published as: Elschner, Johannes; Elschner, J. Documents Indexed: 104 Publications since 1975, including 5 Books 1 Contribution as Editor Reviewing Activity: 314 Reviews Co-Authors: 22 Co-Authors with 60 Joint Publications 903 Co-Co-Authors all top 5 Co-Authors 45 single-authored 16 Schmidt, Gunther 15 Hu, Guanghui 10 Yamamoto, Masahiro 5 Rathsfeld, Andreas 4 Graham, Ivan G. 4 Hsiao, George C. 4 Lorenz, Michael 3 Hinder, Rainer 3 Rehberg, Joachim 3 Sloan, Ian Hugh 3 Stephan, Ernst Peter 2 Bruckner, Gottfried 2 Hansen, Olaf 2 Prössdorf, Siegfried 2 Silbermann, Bernd 1 Antman, Stuart S. 1 Chandler-Wilde, Simon N. 1 Gohberg, Israel 1 Güther, R. 1 Kaiser, Hans-Christoph 1 Kleemann, Bernd H. 1 Maz’ya, Vladimir Gilelevich 1 Penzel, Frank all top 5 Serials 20 Mathematische Nachrichten 10 Inverse Problems 5 Mathematical Methods in the Applied Sciences 4 Applicable Analysis 3 Wissenschaftliche Zeitschrift der Technischen Hochschule Karl-Marx-Stadt 3 Numerische Mathematik 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Inverse Problems and Imaging 2 Archive for Rational Mechanics and Analysis 2 Demonstratio Mathematica 2 Journal of Computational and Applied Mathematics 2 Journal of Integral Equations and Applications 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Journal of Inverse and Ill-Posed Problems 2 Advances in Computational Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Czechoslovak Mathematical Journal 1 Differentsial’nye Uravneniya 1 Differential Equations 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Zeitschrift für Analysis und ihre Anwendungen 1 Memoirs on Differential Equations and Mathematical Physics 1 Methods and Applications of Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Interfaces and Free Boundaries 1 Journal of Modern Optics 1 Lecture Notes in Mathematics 1 Communications in Computational Physics 1 Beiträge zur Analysis 1 Beiträge zur Numerischen Mathematik 1 Operator Theory: Advances and Applications 1 Mathematical Research all top 5 Fields 62 Partial differential equations (35-XX) 37 Numerical analysis (65-XX) 27 Integral equations (45-XX) 24 Operator theory (47-XX) 24 Optics, electromagnetic theory (78-XX) 14 Mechanics of deformable solids (74-XX) 13 Ordinary differential equations (34-XX) 7 Fluid mechanics (76-XX) 4 Functional analysis (46-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Potential theory (31-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 631 times in 364 Documents Cited by ▼ Year ▼ Optimal regularity for elliptic transmission problems including \(C^1\) interfaces. Zbl 1147.47034Elschner, Johannes; Rehberg, Joachim; Schmidt, Gunther 39 2007 Diffraction in periodic structures and optimal design of binary gratings. I: Direct problems and gradient formulas. Zbl 0913.65121Elschner, J.; Schmidt, G. 34 1998 Variational approach in weighted Sobolev spaces to scattering by unbounded rough surfaces. Zbl 1241.35044Chandler-Wilde, Simon N.; Elschner, Johannes 29 2010 The double layer potential operator over polyhedral domains. I: Solvability in weighted Sobolev spaces. Zbl 0749.31002Elschner, Johannes 25 1992 On spline approximation for a class of non-compact integral equations. Zbl 0709.65117Elschner, Johannes 25 1990 Corners and edges always scatter. Zbl 1319.35140Elschner, Johannes; Hu, Guanghui 22 2015 An optimal order collocation method for first kind boundary integral equations on polygons. Zbl 0827.65117Elschner, J.; Graham, I. G. 21 1995 An inverse problem in periodic diffractive optics: Reconstruction of Lipschitz grating profiles. Zbl 1028.78008Elschner, Johannes; Yamamoto, Masahiro 21 2002 On spline interpolation in periodic Sobolev spaces. Zbl 0601.41016Elschner, Johannes; Schmidt, Gunther 19 1983 Acoustic scattering from corners, edges and circular cones. Zbl 1392.35224Elschner, Johannes; Hu, Guanghui 18 2018 Uniqueness in determining polygonal sound-hard obstacles with a single incoming wave. Zbl 1089.78011Elschner, Johannes; Yamamoto, Masahiro 16 2006 Asymptotics of solutions to pseudodifferential equations of Mellin type. Zbl 0663.35100Elschner, Johannes 12 1987 Existence, uniqueness and regularity for solutions of the conical diffraction problem. Zbl 1010.78008Elschner, Johannes; Hinder, Rainer; Schmidt, Gunther; Penzel, Frank 12 2000 \(W^{1,q}\) regularity results for elliptic transmission problems on heterogeneous polyhedra. Zbl 1206.35059Elschner, J.; Kaiser, H.-C.; Rehberg, J.; Schmidt, G. 12 2007 A two-step algorithm for the reconstruction of perfectly reflecting periodic profiles. Zbl 1221.35445Bruckner, Gottfried; Elschner, Johannes 11 2003 Numerical methods for integral equations of Mellin type. Zbl 0973.65129Elschner, J.; Graham, I. G. 11 2000 Uniqueness in inverse elastic scattering with finitely many incident waves. Zbl 1189.35374Elschner, Johannes; Yamamoto, Masahiro 11 2010 Singular ordinary differential operators and pseudodifferential equations. Zbl 0571.47038Elschner, Johannes 10 1985 An inverse problem for fluid-solid interaction. Zbl 1141.35470Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas 10 2008 The collocation method for mixed boundary value problems on domains with curved polygonal boundaries. Zbl 0878.65102Elschner, J.; Jeon, Y.; Sloan, I. H.; Stephan, E. P. 10 1997 An inverse problem in periodic diffractive optics: global uniqueness with a single wavenumber. Zbl 1121.78325Elschner, J.; Schmidt, G.; Yamamoto, M. 10 2003 Elastic scattering by unbounded rough surfaces: solvability in weighted Sobolev spaces. Zbl 1307.74018Elschner, Johannes; Hu, Guanghui 10 2015 An optimization method in inverse acoustic scattering by an elastic obstacle. Zbl 1186.35239Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas 10 2009 A discrete collocation method for Symm’s integral equation on curves with corners. Zbl 0868.65098Elschner, Johannes; Stephan, Ernst P. 9 1996 Solutions for quasilinear nonsmooth evolution systems in \(L^p\). Zbl 1053.35058Maz’ya, V.; Elschner, J.; Rehberg, J.; Schmidt, G. 9 2004 Grating profile reconstruction based on finite elements and optimization techniques. Zbl 1059.35165Elschner, J.; Hsiao, G. C.; Rathsfeld, A. 9 2003 The double-layer potential operator over polyhedral domains. II: Spline Galerkin methods. Zbl 0770.65099Elschner, Johannes 8 1992 Quadrature methods for Symm’s integral equation on polygons. Zbl 0888.65123Elschner, Johannes; Graham, Ivan G. 8 1997 The \(h-p\)-version of spline approximation methods for Mellin convolution equations. Zbl 0781.65103Elschner, J. 8 1993 Elastic scattering by unbounded rough surfaces. Zbl 1335.74029Elschner, Johannes; Hu, Guanghui 8 2012 Scattering of plane elastic waves by three-dimensional diffraction gratings. Zbl 1320.74062Elschner, Johannes; Hu, Guanghui 8 2012 Global uniqueness in determining polygonal periodic structures with a minimal number of incident plane waves. Zbl 1210.35285Elschner, Johannes; Hu, Guanghui 8 2010 Uniqueness in inverse transmission scattering problems for multilayered obstacles. Zbl 1232.35193Elschner, Johannes; Hu, Guanghui 8 2011 Global uniqueness in determining rectangular periodic structures by scattering data with a single wave number. Zbl 1038.78014Elschner, J.; Schmidt, G.; Yamamoto, M. 8 2003 On spline approximation for a class of integral equations. I: Galerkin and collocation methods with piecewise polynomials. Zbl 0662.65112Elschner, Johannes 7 1988 On spline collocation for convolution equations. Zbl 0674.65098Elschner, Johannes 7 1989 Uniqueness in determining polygonal periodic structures. Zbl 1246.78018Elschner, J.; Yamamoto, M. 7 2007 Numerical solution of optimal design problems for binary gratings. Zbl 0922.65055Elschner, J.; Schmidt, G. 7 1998 Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary. Zbl 0887.65135Jeon, Y.; Sloan, I. H.; Stephan, E. P.; Elschner, J. 7 1997 Uniqueness in determining polyhedral sound-hard obstacles with a single incoming wave. Zbl 1187.35276Elschner, Johannes; Yamamoto, Masahiro 7 2008 The numerical solution of an inverse periodic transmission problem. Zbl 1070.35119Bruckner, Gottfried; Elschner, Johannes 7 2005 Variational approach to scattering of plane elastic waves by diffraction gratings. Zbl 1426.74172Elschner, Johannes; Hu, Guanghui 7 2010 Spline approximation of singular integral equations. Zbl 0618.65137Elschner, J.; Prössdorf, Siegfried; Rathsfeld, Andreas; Schmidt, G. 6 1985 Uniqueness results for an inverse periodic transmission problem. Zbl 1077.78009Elschner, Johannes; Yamamoto, Masahiro 6 2004 An optimization method in inverse elastic scattering for one-dimensional grating profiles. Zbl 1373.74011Elschner, Johannes; Hu, Guanghui 6 2012 Inverse scattering of elastic waves by periodic structures: uniqueness under the third or fourth kind boundary conditions. Zbl 1282.78023Elschner, Johannes; Hu, Guanghui 6 2011 Finite element solution of conical diffraction problems. Zbl 0992.78018Elschner, Johannes; Hinder, Rainer; Schmidt, Gunther 5 2002 Inverse scattering for periodic structures: Stability of polygonal interfaces. Zbl 0989.35140Elschner, Johannes; Schmidt, Gunther 5 2001 Uniqueness and factorization method for inverse elastic scattering with a single incoming wave. Zbl 1430.35179Elschner, Johannes; Hu, Guanghui 5 2019 The qualocation method for Symm’s integral equation on a polygon. Zbl 0851.65096Elschner, J.; Prößdorf, Siegfried; Sloan, I. H. 4 1996 Galerkin methods with splines for singular integral equations over (0,1). Zbl 0549.65093Elschner, J. 4 1984 Conical diffraction by periodic structures: variation of interfaces and gradient formulas. Zbl 1116.78010Elschner, J.; Schmidt, G. 4 2003 A collocation method for the solution of the first boundary value problem of elasticity in a polygonal domain in \({\mathbb{R}}^2\). Zbl 0977.74026Elschner, Johannes; Hansen, Olaf 4 1999 Singular ordinary differential operators and pseudodifferential equations. Zbl 0571.47037Elschner, Johannes 3 1985 Diffraction in periodic structures and optimal design of binary gratings. II: Gradient formulas for TM polarization. Zbl 1002.78003Elschner, Johannes; Schmidt, Gunther 3 2001 Über entartete Randwertprobleme für elliptische Differentialoperatoren zweiter Ordnung in der Ebene. Zbl 0436.35028Elschner, Johannes 3 1980 On degenerate boundary value problems for elliptic differential operators of second order in the plane and the index of degenerate pseudo- differential operators on a closed curve. Zbl 0489.35041Elschner, Johannes 2 1981 Über die normale Auflösbarkeit von entarteten gewöhnlichen Differentialoperatoren in Räumen differenzierbarer Funktionen. Zbl 0332.34010Elschner, Johannes 2 1978 On the exponential convergence of some boundary element methods for Laplace’s equation in nonsmooth domains. Zbl 0819.65130Elschner, Johannes 2 1995 Parametrization methods for first kind integral equations on nonsmooth boundaries. Zbl 0823.65143Elschner, Johannes; Graham, Ivan G. 2 1995 Uniqueness in inverse elastic scattering from unbounded rigid surfaces of rectangular type. Zbl 1305.74048Elschner, Johannes; Hu, Guanghui; Yamamoto, Masahiro 2 2015 On spline approximation for a class of integral equations. II: Galerkin’s method with smooth splines. Zbl 0691.65098Elschner, Johannes 1 1989 Über den Operator \(\sum_{|\alpha| =|\beta| \leq m} C_{\alpha\beta} X^{\alpha} D^{\beta}\). Zbl 0449.35028Elschner, Johannes; Lorenz, Michael 1 1979 On spline approximation for singular integral equations on an interval. Zbl 0666.65093Elschner, Johannes 1 1988 A Galerkin method with finite elements for degenerate one dimensional pseudodifferential equations. Zbl 0543.65079Elschner, Johannes 1 1983 On the exponential convergence of spline approximation methods for Wiener-Hopf equations. Zbl 0802.65135Elschner, Johannes 1 1993 Über die normale Auflösbarkeit von entarteten singulären Integrodifferentialgleichungen. Zbl 0374.45005Elschner, Johannes 1 1977 Einige Bemerkungen zu einer Arbeit von Baouendi und Goulaouic. Zbl 0413.35005Elschner, Johannes 1 1978 Über singuläre Integrodifferentialgleichungen und das Poincaresche Randwertproblem im entarteten Fall. Zbl 0417.45012Elschner, Johannes 1 1978 Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25–28, 1999. Zbl 0979.00042 1 2001 Über eine Klasse entarteter singulärer Integrodifferentialgleichungen. I. Zbl 0437.45013Elschner, Johannes 1 1979 Uniqueness in inverse scattering of elastic waves by three-dimensional polyhedral diffraction gratings. Zbl 1279.78011Elschner, Johannes; Hu, Guanghui 1 2011 Single logarithmic conditional stability in determining unknown boundaries. Zbl 1445.35329Elschner, Johannes; Hu, Guanghui; Yamamoto, Masahiro 1 2020 Single logarithmic conditional stability in determining unknown boundaries. Zbl 1445.35329Elschner, Johannes; Hu, Guanghui; Yamamoto, Masahiro 1 2020 Uniqueness and factorization method for inverse elastic scattering with a single incoming wave. Zbl 1430.35179Elschner, Johannes; Hu, Guanghui 5 2019 Acoustic scattering from corners, edges and circular cones. Zbl 1392.35224Elschner, Johannes; Hu, Guanghui 18 2018 Corners and edges always scatter. Zbl 1319.35140Elschner, Johannes; Hu, Guanghui 22 2015 Elastic scattering by unbounded rough surfaces: solvability in weighted Sobolev spaces. Zbl 1307.74018Elschner, Johannes; Hu, Guanghui 10 2015 Uniqueness in inverse elastic scattering from unbounded rigid surfaces of rectangular type. Zbl 1305.74048Elschner, Johannes; Hu, Guanghui; Yamamoto, Masahiro 2 2015 Elastic scattering by unbounded rough surfaces. Zbl 1335.74029Elschner, Johannes; Hu, Guanghui 8 2012 Scattering of plane elastic waves by three-dimensional diffraction gratings. Zbl 1320.74062Elschner, Johannes; Hu, Guanghui 8 2012 An optimization method in inverse elastic scattering for one-dimensional grating profiles. Zbl 1373.74011Elschner, Johannes; Hu, Guanghui 6 2012 Uniqueness in inverse transmission scattering problems for multilayered obstacles. Zbl 1232.35193Elschner, Johannes; Hu, Guanghui 8 2011 Inverse scattering of elastic waves by periodic structures: uniqueness under the third or fourth kind boundary conditions. Zbl 1282.78023Elschner, Johannes; Hu, Guanghui 6 2011 Uniqueness in inverse scattering of elastic waves by three-dimensional polyhedral diffraction gratings. Zbl 1279.78011Elschner, Johannes; Hu, Guanghui 1 2011 Variational approach in weighted Sobolev spaces to scattering by unbounded rough surfaces. Zbl 1241.35044Chandler-Wilde, Simon N.; Elschner, Johannes 29 2010 Uniqueness in inverse elastic scattering with finitely many incident waves. Zbl 1189.35374Elschner, Johannes; Yamamoto, Masahiro 11 2010 Global uniqueness in determining polygonal periodic structures with a minimal number of incident plane waves. Zbl 1210.35285Elschner, Johannes; Hu, Guanghui 8 2010 Variational approach to scattering of plane elastic waves by diffraction gratings. Zbl 1426.74172Elschner, Johannes; Hu, Guanghui 7 2010 An optimization method in inverse acoustic scattering by an elastic obstacle. Zbl 1186.35239Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas 10 2009 An inverse problem for fluid-solid interaction. Zbl 1141.35470Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas 10 2008 Uniqueness in determining polyhedral sound-hard obstacles with a single incoming wave. Zbl 1187.35276Elschner, Johannes; Yamamoto, Masahiro 7 2008 Optimal regularity for elliptic transmission problems including \(C^1\) interfaces. Zbl 1147.47034Elschner, Johannes; Rehberg, Joachim; Schmidt, Gunther 39 2007 \(W^{1,q}\) regularity results for elliptic transmission problems on heterogeneous polyhedra. Zbl 1206.35059Elschner, J.; Kaiser, H.-C.; Rehberg, J.; Schmidt, G. 12 2007 Uniqueness in determining polygonal periodic structures. Zbl 1246.78018Elschner, J.; Yamamoto, M. 7 2007 Uniqueness in determining polygonal sound-hard obstacles with a single incoming wave. Zbl 1089.78011Elschner, Johannes; Yamamoto, Masahiro 16 2006 The numerical solution of an inverse periodic transmission problem. Zbl 1070.35119Bruckner, Gottfried; Elschner, Johannes 7 2005 Solutions for quasilinear nonsmooth evolution systems in \(L^p\). Zbl 1053.35058Maz’ya, V.; Elschner, J.; Rehberg, J.; Schmidt, G. 9 2004 Uniqueness results for an inverse periodic transmission problem. Zbl 1077.78009Elschner, Johannes; Yamamoto, Masahiro 6 2004 A two-step algorithm for the reconstruction of perfectly reflecting periodic profiles. Zbl 1221.35445Bruckner, Gottfried; Elschner, Johannes 11 2003 An inverse problem in periodic diffractive optics: global uniqueness with a single wavenumber. Zbl 1121.78325Elschner, J.; Schmidt, G.; Yamamoto, M. 10 2003 Grating profile reconstruction based on finite elements and optimization techniques. Zbl 1059.35165Elschner, J.; Hsiao, G. C.; Rathsfeld, A. 9 2003 Global uniqueness in determining rectangular periodic structures by scattering data with a single wave number. Zbl 1038.78014Elschner, J.; Schmidt, G.; Yamamoto, M. 8 2003 Conical diffraction by periodic structures: variation of interfaces and gradient formulas. Zbl 1116.78010Elschner, J.; Schmidt, G. 4 2003 An inverse problem in periodic diffractive optics: Reconstruction of Lipschitz grating profiles. Zbl 1028.78008Elschner, Johannes; Yamamoto, Masahiro 21 2002 Finite element solution of conical diffraction problems. Zbl 0992.78018Elschner, Johannes; Hinder, Rainer; Schmidt, Gunther 5 2002 Inverse scattering for periodic structures: Stability of polygonal interfaces. Zbl 0989.35140Elschner, Johannes; Schmidt, Gunther 5 2001 Diffraction in periodic structures and optimal design of binary gratings. II: Gradient formulas for TM polarization. Zbl 1002.78003Elschner, Johannes; Schmidt, Gunther 3 2001 Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25–28, 1999. Zbl 0979.00042 1 2001 Existence, uniqueness and regularity for solutions of the conical diffraction problem. Zbl 1010.78008Elschner, Johannes; Hinder, Rainer; Schmidt, Gunther; Penzel, Frank 12 2000 Numerical methods for integral equations of Mellin type. Zbl 0973.65129Elschner, J.; Graham, I. G. 11 2000 A collocation method for the solution of the first boundary value problem of elasticity in a polygonal domain in \({\mathbb{R}}^2\). Zbl 0977.74026Elschner, Johannes; Hansen, Olaf 4 1999 Diffraction in periodic structures and optimal design of binary gratings. I: Direct problems and gradient formulas. Zbl 0913.65121Elschner, J.; Schmidt, G. 34 1998 Numerical solution of optimal design problems for binary gratings. Zbl 0922.65055Elschner, J.; Schmidt, G. 7 1998 The collocation method for mixed boundary value problems on domains with curved polygonal boundaries. Zbl 0878.65102Elschner, J.; Jeon, Y.; Sloan, I. H.; Stephan, E. P. 10 1997 Quadrature methods for Symm’s integral equation on polygons. Zbl 0888.65123Elschner, Johannes; Graham, Ivan G. 8 1997 Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary. Zbl 0887.65135Jeon, Y.; Sloan, I. H.; Stephan, E. P.; Elschner, J. 7 1997 A discrete collocation method for Symm’s integral equation on curves with corners. Zbl 0868.65098Elschner, Johannes; Stephan, Ernst P. 9 1996 The qualocation method for Symm’s integral equation on a polygon. Zbl 0851.65096Elschner, J.; Prößdorf, Siegfried; Sloan, I. H. 4 1996 An optimal order collocation method for first kind boundary integral equations on polygons. Zbl 0827.65117Elschner, J.; Graham, I. G. 21 1995 On the exponential convergence of some boundary element methods for Laplace’s equation in nonsmooth domains. Zbl 0819.65130Elschner, Johannes 2 1995 Parametrization methods for first kind integral equations on nonsmooth boundaries. Zbl 0823.65143Elschner, Johannes; Graham, Ivan G. 2 1995 The \(h-p\)-version of spline approximation methods for Mellin convolution equations. Zbl 0781.65103Elschner, J. 8 1993 On the exponential convergence of spline approximation methods for Wiener-Hopf equations. Zbl 0802.65135Elschner, Johannes 1 1993 The double layer potential operator over polyhedral domains. I: Solvability in weighted Sobolev spaces. Zbl 0749.31002Elschner, Johannes 25 1992 The double-layer potential operator over polyhedral domains. II: Spline Galerkin methods. Zbl 0770.65099Elschner, Johannes 8 1992 On spline approximation for a class of non-compact integral equations. Zbl 0709.65117Elschner, Johannes 25 1990 On spline collocation for convolution equations. Zbl 0674.65098Elschner, Johannes 7 1989 On spline approximation for a class of integral equations. II: Galerkin’s method with smooth splines. Zbl 0691.65098Elschner, Johannes 1 1989 On spline approximation for a class of integral equations. I: Galerkin and collocation methods with piecewise polynomials. Zbl 0662.65112Elschner, Johannes 7 1988 On spline approximation for singular integral equations on an interval. Zbl 0666.65093Elschner, Johannes 1 1988 Asymptotics of solutions to pseudodifferential equations of Mellin type. Zbl 0663.35100Elschner, Johannes 12 1987 Singular ordinary differential operators and pseudodifferential equations. Zbl 0571.47038Elschner, Johannes 10 1985 Spline approximation of singular integral equations. Zbl 0618.65137Elschner, J.; Prössdorf, Siegfried; Rathsfeld, Andreas; Schmidt, G. 6 1985 Singular ordinary differential operators and pseudodifferential equations. Zbl 0571.47037Elschner, Johannes 3 1985 Galerkin methods with splines for singular integral equations over (0,1). Zbl 0549.65093Elschner, J. 4 1984 On spline interpolation in periodic Sobolev spaces. Zbl 0601.41016Elschner, Johannes; Schmidt, Gunther 19 1983 A Galerkin method with finite elements for degenerate one dimensional pseudodifferential equations. Zbl 0543.65079Elschner, Johannes 1 1983 On degenerate boundary value problems for elliptic differential operators of second order in the plane and the index of degenerate pseudo- differential operators on a closed curve. Zbl 0489.35041Elschner, Johannes 2 1981 Über entartete Randwertprobleme für elliptische Differentialoperatoren zweiter Ordnung in der Ebene. Zbl 0436.35028Elschner, Johannes 3 1980 Über den Operator \(\sum_{|\alpha| =|\beta| \leq m} C_{\alpha\beta} X^{\alpha} D^{\beta}\). Zbl 0449.35028Elschner, Johannes; Lorenz, Michael 1 1979 Über eine Klasse entarteter singulärer Integrodifferentialgleichungen. I. Zbl 0437.45013Elschner, Johannes 1 1979 Über die normale Auflösbarkeit von entarteten gewöhnlichen Differentialoperatoren in Räumen differenzierbarer Funktionen. Zbl 0332.34010Elschner, Johannes 2 1978 Einige Bemerkungen zu einer Arbeit von Baouendi und Goulaouic. Zbl 0413.35005Elschner, Johannes 1 1978 Über singuläre Integrodifferentialgleichungen und das Poincaresche Randwertproblem im entarteten Fall. Zbl 0417.45012Elschner, Johannes 1 1978 Über die normale Auflösbarkeit von entarteten singulären Integrodifferentialgleichungen. Zbl 0374.45005Elschner, Johannes 1 1977 all cited Publications top 5 cited Publications all top 5 Cited by 370 Authors 28 Hu, Guanghui 27 Elschner, Johannes 16 Rehberg, Joachim 14 Liu, Hongyu 13 Zhang, Bo 12 Schmidt, Gunther 11 Li, Peijun 11 Rathsfeld, Andreas 10 Bao, Gang 10 Zhang, Ruming 9 Lechleiter, Armin 9 Yang, Jiaqing 8 Laurita, Concetta 7 Chandler-Wilde, Simon N. 7 Haller-Dintelmann, Robert 7 Kaiser, Hans-Christoph 7 Prössdorf, Siegfried 7 Qu, Fenglong 7 Saranen, Jukka 7 Yin, Tao 6 Haddar, Houssem 6 Mitrea, Irina 6 Monk, Peter B. 6 Silbermann, Bernd 6 Vainikko, Gennadi 6 Xiao, Jingni 6 Yan, Guozheng 5 Cakoni, Fioralba 5 Hansen, Olaf 5 Huang, Jin 5 Ruotsalainen, Keijo Matti 5 Wendland, Wolfgang L. 4 Cui, Yanli 4 Li, Jingzhi 4 Meinlschmidt, Hannes 4 Meyer, Christian 4 Monegato, Giovanni 4 Sloan, Ian Hugh 4 Stephan, Ernst Peter 4 Yamamoto, Masahiro 4 Zhao, Yue 3 Blåsten, Eemeli 3 Blåsten, Emilia L. K. 3 Byun, Sun-Sig 3 Chesnel, Lucas 3 De Bonis, Maria Carmela 3 Diao, Huaian 3 Didenko, Victor D. 3 Disser, Karoline 3 Graham, Ivan G. 3 Hager, William W. 3 Hamina, Martti 3 Jeon, Youngmok 3 Li, Jianliang 3 Lu, Wangtao 3 Nguyen, Dinh Liem 3 Nguyen, Thi-Phong 3 Nicholls, David P. 3 Perfekt, Karl-Mikael 3 Qiao, Yu 3 Rao, Anil V. 3 Rondi, Luca 3 Sauter, Stefan A. 3 Schneider, Reinhold 3 Spence, Euan A. 3 Turunen, Ville 3 Vashisth, Manmohan 3 Xiang, Jianli 3 Yousept, Irwin 3 Yuan, Xiaokai 3 Zhang, Hai 3 Zhang, Haiwen 3 Zou, Jun 2 Audibert, Lorenzo 2 Aylwin, Rubén 2 Bonnet-Ben Dhia, Anne-Sophie 2 Börm, Steffen 2 Bruno, Oscar P. 2 Bühring, Kathrin 2 Chapko, Roman 2 Chen, Dehan 2 Consiglieri, Luisa 2 Dahlke, Stephan 2 Druet, Pierre-Étienne 2 Eggermont, Paul P. B. 2 Gong, Wei 2 Gross, Hermann 2 Hou, Hongyan 2 Hsiao, George C. 2 Jerez-Hanckes, Carlos 2 Khoromskiĭ, Boris Nikolaevich 2 Konschin, Alexander 2 Li, Xiliang 2 Li, Zi-Cai 2 Liu, Xiaoli 2 Mastroianni, Giuseppe 2 Melenk, Jens Markus 2 Mitrea, Marius 2 Mohapatra, Subhashree 2 Nakamura, Gen ...and 270 more Authors all top 5 Cited in 103 Serials 20 Journal of Computational and Applied Mathematics 18 Inverse Problems 18 Numerische Mathematik 17 Journal of Differential Equations 16 Journal of Integral Equations and Applications 14 Mathematische Nachrichten 13 Mathematical Methods in the Applied Sciences 13 Integral Equations and Operator Theory 12 Applicable Analysis 10 Numerical Functional Analysis and Optimization 9 Journal of Mathematical Analysis and Applications 9 SIAM Journal on Mathematical Analysis 9 Inverse Problems and Imaging 8 Journal of Computational Physics 7 SIAM Journal on Applied Mathematics 6 Mathematics of Computation 6 Applied Numerical Mathematics 5 Computer Methods in Applied Mechanics and Engineering 5 SIAM Journal on Control and Optimization 5 SIAM Journal on Numerical Analysis 5 SIAM Journal on Scientific Computing 4 Applied Mathematics and Computation 4 Transactions of the American Mathematical Society 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Inverse and Ill-Posed Problems 4 The Journal of Fourier Analysis and Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Computers & Mathematics with Applications 3 Journal of Mathematical Physics 3 BIT 3 Computing 3 Zeitschrift für Analysis und ihre Anwendungen 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Numerical Algorithms 3 Advances in Computational Mathematics 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Boundary Value Problems 3 Communications in Computational Physics 3 Discrete and Continuous Dynamical Systems. Series S 2 Archive for Rational Mechanics and Analysis 2 Czechoslovak Mathematical Journal 2 Functional Analysis and its Applications 2 Journal of Scientific Computing 2 International Journal of Computer Mathematics 2 Potential Analysis 2 Computational Optimization and Applications 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 Engineering Analysis with Boundary Elements 2 Journal of Evolution Equations 2 Research in the Mathematical Sciences 1 Communications on Pure and Applied Mathematics 1 Nonlinearity 1 Wave Motion 1 Applied Mathematics and Optimization 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Kybernetes 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Siberian Mathematical Journal 1 Annals of Global Analysis and Geometry 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Applications of Mathematics 1 Communications in Partial Differential Equations 1 Linear Algebra and its Applications 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the European Mathematical Society (JEMS) 1 The ANZIAM Journal 1 Mathematical Modelling and Analysis 1 Foundations of Computational Mathematics 1 Central European Journal of Mathematics 1 Advances in Difference Equations 1 Waves in Random and Complex Media 1 Inverse Problems in Science and Engineering 1 Complex Variables and Elliptic Equations 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 SIAM Journal on Imaging Sciences 1 Numerical Mathematics: Theory, Methods and Applications 1 Science China. Mathematics 1 GEM - International Journal on Geomathematics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Mathematical Control and Related Fields 1 Evolution Equations and Control Theory ...and 3 more Serials all top 5 Cited in 26 Fields 266 Partial differential equations (35-XX) 187 Numerical analysis (65-XX) 91 Integral equations (45-XX) 88 Optics, electromagnetic theory (78-XX) 51 Mechanics of deformable solids (74-XX) 34 Operator theory (47-XX) 25 Fluid mechanics (76-XX) 20 Potential theory (31-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 14 Functional analysis (46-XX) 13 Global analysis, analysis on manifolds (58-XX) 6 Quantum theory (81-XX) 4 Functions of a complex variable (30-XX) 4 Ordinary differential equations (34-XX) 4 Operations research, mathematical programming (90-XX) 3 Approximations and expansions (41-XX) 3 Geometry (51-XX) 3 Statistics (62-XX) 3 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year