Edit Profile Rathsfeld, Andreas Compute Distance To: Compute Author ID: rathsfeld.andreas Published as: Rathsfeld, A.; Rathsfeld, Andreas Documents Indexed: 52 Publications since 1984, including 2 Books all top 5 Co-Authors 21 single-authored 11 Prössdorf, Siegfried 5 Elschner, Johannes 5 Hsiao, George C. 3 Hu, Guanghui 3 Kleemann, Bernd H. 2 Gross, Hermann 2 Junghanns, Peter 2 Schmidt, Gunther 2 Schneider, Reinhold 2 Yin, Tao 1 Arnold, Thomas 1 Bär, Markus 1 Ehrich, Sven 1 Frammartino, Carmelina 1 Heidenreich, Sebastian 1 Henn, Mark-Alexander 1 Kieser, Ralf 1 Mastroianni, Giuseppe 1 Xu, Liwei all top 5 Serials 4 Mathematical Methods in the Applied Sciences 3 Integral Equations and Operator Theory 3 Mathematische Nachrichten 3 Numerische Mathematik 3 Zeitschrift für Analysis und ihre Anwendungen 3 ETNA. Electronic Transactions on Numerical Analysis 2 Applicable Analysis 2 Journal of Integral Equations and Applications 2 SIAM Journal on Applied Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Demonstratio Mathematica 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Journal of Computational Mathematics 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Memoirs on Differential Equations and Mathematical Physics 1 Advances in Computational Mathematics 1 Waves in Random and Complex Media 1 Communications in Computational Physics 1 Inverse Problems and Imaging 1 Discrete and Continuous Dynamical Systems. Series S all top 5 Fields 41 Numerical analysis (65-XX) 27 Integral equations (45-XX) 26 Partial differential equations (35-XX) 8 Optics, electromagnetic theory (78-XX) 7 Potential theory (31-XX) 6 Fluid mechanics (76-XX) 4 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 42 Publications have been cited 227 times in 155 Documents Cited by ▼ Year ▼ The invertibility of the double layer potential operator in the space of continuous functions defined on a polyhedron: The panel method. Zbl 0749.31003Rathsfeld, Andreas 19 1992 A spline collocation method for singular integral equations with piecewise continuous coefficients. Zbl 0573.65106Prößdorf, Siegfried; Rathsfeld, Andreas 13 1984 Iterative solution of linear systems arising from the Nyström method for the double-layer potential equation over curves with corners. Zbl 0781.65107Rathsfeld, A. 10 1993 Mellin techniques in the numerical analysis for one-dimensional singular integral equations. Zbl 0652.65096Prößdorf, Siegfried; Rathsfeld, Andreas 10 1988 An inverse problem for fluid-solid interaction. Zbl 1141.35470Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas 9 2008 On a full discretization scheme for a hypersingular boundary integral equation over smooth curves. Zbl 0782.65133Kieser, Ralf; Kleemann, B.; Rathsfeld, A. 9 1992 On an integral equation of the first kind arising from a cruciform crack problem. Zbl 0753.65098Prössdorf, Siegfried; Rathsfeld, Andreas 9 1991 An optimization method in inverse acoustic scattering by an elastic obstacle. Zbl 1186.35239Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas 8 2009 Quadrature methods for strongly elliptic Cauchy singular integral equations on an interval. Zbl 0724.65129Prössdorf, Siegfried; Rathsfeld, Andreas 8 1989 Grating profile reconstruction based on finite elements and optimization techniques. Zbl 1059.35165Elschner, J.; Hsiao, G. C.; Rathsfeld, A. 7 2003 On polynomial collocation for second kind integral equations with fixed singularities of Mellin type. Zbl 1049.65154Mastroianni, G.; Frammartino, C.; Rathsfeld, A. 7 2003 A wavelet algorithm for the boundary element solution of a geodetic boundary value problem. Zbl 0943.65137Rathsfeld, Andreas 7 1998 The invertibility of the double layer potential operator in the space of continuous functions defined over a polyhedron. The panel method. Erratum. Zbl 0921.31004Rathsfeld, Andreas 7 1995 Eine Quadraturformelmethode für Mellin-Operatoren nullter Ordnung. (A quadrature formula method for Mellin operators of order zero). Zbl 0667.65100Rathsfeld, Andreas 7 1988 On a fast integral equation method for diffraction gratings. Zbl 1116.78032Rathsfeld, A.; Schmidt, G.; Kleemann, B. H. 6 2006 A polynomial collocation method for Cauchy singular integral equations over the interval. Zbl 1024.65131Junghanns, P.; Rathsfeld, A. 6 2002 Wavelet collocation methods for a first kind boundary integral equation in acoustic scattering. Zbl 0999.65138Hsiao, George C.; Rathsfeld, Andreas 6 2002 A wavelet algorithm for the solution of a singular integral equation over a smooth two-dimensional manifold. Zbl 0923.65082Rathsfeld, Andreas 6 1998 A wavelet algorithm for the solution of the double layer potential equation over polygonal boundaries. Zbl 0838.65111Rathsfeld, Andreas 6 1995 Stabilitätskriterien für Näherungsverfahren bei singulären Integralgleichungen in \(L^ p\). Zbl 0659.65142Prössdorf, Siegfried; Rathsfeld, Andreas 6 1987 Spline approximation of singular integral equations. Zbl 0618.65137Elschner, J.; Prössdorf, Siegfried; Rathsfeld, Andreas; Schmidt, G. 6 1985 Scattering of time-harmonic electromagnetic plane waves by perfectly conducting diffraction gratings. Zbl 1328.35232Hu, Guanghui; Rathsfeld, Andreas 4 2015 Edge asymptotics for the radiosity equation over polyhedral boundaries. Zbl 0919.45001Rathsfeld, Andreas 4 1999 Nyström’s method and iterative solvers for the solution of the double-layer potential equation over polyhedral boundaries. Zbl 0832.65127Rathsfeld, A. 4 1995 Quadrature and collocation methods for singular integral equations on curves with corners. Zbl 0686.65096Prössdorf, Siegfried; Rathsfeld, Andreas 4 1989 On spline Galerkin methods for singular integral equations with piecewise continuous coefficients. Zbl 0619.65142Prößdorf, Siegfried; Rathsfeld, A. 4 1986 A BIE-based DtN-FEM for fluid-solid interaction problems. Zbl 1413.74097Yin, Tao; Rathsfeld, Andreas; Xu, Liwei 3 2018 Finite element method to fluid-solid interaction problems with unbounded periodic interfaces. Zbl 1381.74195Hu, Guanghui; Rathsfeld, Andreas; Yin, Tao 3 2016 On a quadrature algorithm for the piecewise linear wavelet collocation applied to boundary integral equations. Zbl 1074.65141Rathsfeld, Andreas; Schneider, Reinhold 3 2003 On polynomial collocation for Cauchy singular integral equations with fixed singularities. Zbl 1014.65144Junghanns, P.; Rathsfeld, A. 3 2002 Quadrature methods for 2D and 3D problems. Zbl 0971.65119Rathsfeld, A. 3 2000 Error estimates and extrapolation for the numerical solution of Mellin convolution equations. Zbl 0851.65097Rathsfeld, Andreas 3 1996 On quadrature methods for the double layer potential equation over the boundary of a polyhedron. Zbl 0791.65088Rathsfeld, A. 3 1993 Reduktionsverfahren für singuläre Integralgleichungen mit stückweise stetigen Koeffizienten. Zbl 0605.65090Rathsfeld, Andreas 3 1986 Piecewise polynomial collocation for the double layer potential equation over polyhedral boundaries. Zbl 0817.65094Rathsfeld, Andreas 2 1995 Quadraturformelverfahren für eindimensionale singuläre Integralgleichungen. Zbl 0604.65093Rathsfeld, Andreas 2 1986 On strongly elliptic singular integral operators with piecewise continuous coefficients. Zbl 0589.45003Prößdorf, Siegfried; Rathsfeld, Andreas 2 1985 Convergence analysis of the FEM coupled with Fourier-mode expansion for the electromagnetic scattering by biperiodic structures. Zbl 1319.78007Hu, Guanghui; Rathsfeld, Andreas 1 2014 On a hierarchical three-point basis in the space of piecewise linear functions over smooth surfaces. Zbl 1016.41003Rathsfeld, A. 1 2001 On the stability of piecewise linear wavelet collocation and the solution of the double layer equation over polygonal curves. Zbl 0947.65123Rathsfeld, A. 1 1999 Multiscale methods for boundary integral equations and their application to boundary value problems in scattering theory and geodesy. Zbl 0881.65106Kleeman, Bernd H.; Rathsfeld, Andreas; Schneider, Reinhold 1 1996 A quadrature method for a Cauchy singular integral equation with a fixed singularity. Zbl 0673.65093Rathsfeld, A. 1 1988 A BIE-based DtN-FEM for fluid-solid interaction problems. Zbl 1413.74097Yin, Tao; Rathsfeld, Andreas; Xu, Liwei 3 2018 Finite element method to fluid-solid interaction problems with unbounded periodic interfaces. Zbl 1381.74195Hu, Guanghui; Rathsfeld, Andreas; Yin, Tao 3 2016 Scattering of time-harmonic electromagnetic plane waves by perfectly conducting diffraction gratings. Zbl 1328.35232Hu, Guanghui; Rathsfeld, Andreas 4 2015 Convergence analysis of the FEM coupled with Fourier-mode expansion for the electromagnetic scattering by biperiodic structures. Zbl 1319.78007Hu, Guanghui; Rathsfeld, Andreas 1 2014 An optimization method in inverse acoustic scattering by an elastic obstacle. Zbl 1186.35239Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas 8 2009 An inverse problem for fluid-solid interaction. Zbl 1141.35470Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas 9 2008 On a fast integral equation method for diffraction gratings. Zbl 1116.78032Rathsfeld, A.; Schmidt, G.; Kleemann, B. H. 6 2006 Grating profile reconstruction based on finite elements and optimization techniques. Zbl 1059.35165Elschner, J.; Hsiao, G. C.; Rathsfeld, A. 7 2003 On polynomial collocation for second kind integral equations with fixed singularities of Mellin type. Zbl 1049.65154Mastroianni, G.; Frammartino, C.; Rathsfeld, A. 7 2003 On a quadrature algorithm for the piecewise linear wavelet collocation applied to boundary integral equations. Zbl 1074.65141Rathsfeld, Andreas; Schneider, Reinhold 3 2003 A polynomial collocation method for Cauchy singular integral equations over the interval. Zbl 1024.65131Junghanns, P.; Rathsfeld, A. 6 2002 Wavelet collocation methods for a first kind boundary integral equation in acoustic scattering. Zbl 0999.65138Hsiao, George C.; Rathsfeld, Andreas 6 2002 On polynomial collocation for Cauchy singular integral equations with fixed singularities. Zbl 1014.65144Junghanns, P.; Rathsfeld, A. 3 2002 On a hierarchical three-point basis in the space of piecewise linear functions over smooth surfaces. Zbl 1016.41003Rathsfeld, A. 1 2001 Quadrature methods for 2D and 3D problems. Zbl 0971.65119Rathsfeld, A. 3 2000 Edge asymptotics for the radiosity equation over polyhedral boundaries. Zbl 0919.45001Rathsfeld, Andreas 4 1999 On the stability of piecewise linear wavelet collocation and the solution of the double layer equation over polygonal curves. Zbl 0947.65123Rathsfeld, A. 1 1999 A wavelet algorithm for the boundary element solution of a geodetic boundary value problem. Zbl 0943.65137Rathsfeld, Andreas 7 1998 A wavelet algorithm for the solution of a singular integral equation over a smooth two-dimensional manifold. Zbl 0923.65082Rathsfeld, Andreas 6 1998 Error estimates and extrapolation for the numerical solution of Mellin convolution equations. Zbl 0851.65097Rathsfeld, Andreas 3 1996 Multiscale methods for boundary integral equations and their application to boundary value problems in scattering theory and geodesy. Zbl 0881.65106Kleeman, Bernd H.; Rathsfeld, Andreas; Schneider, Reinhold 1 1996 The invertibility of the double layer potential operator in the space of continuous functions defined over a polyhedron. The panel method. Erratum. Zbl 0921.31004Rathsfeld, Andreas 7 1995 A wavelet algorithm for the solution of the double layer potential equation over polygonal boundaries. Zbl 0838.65111Rathsfeld, Andreas 6 1995 Nyström’s method and iterative solvers for the solution of the double-layer potential equation over polyhedral boundaries. Zbl 0832.65127Rathsfeld, A. 4 1995 Piecewise polynomial collocation for the double layer potential equation over polyhedral boundaries. Zbl 0817.65094Rathsfeld, Andreas 2 1995 Iterative solution of linear systems arising from the Nyström method for the double-layer potential equation over curves with corners. Zbl 0781.65107Rathsfeld, A. 10 1993 On quadrature methods for the double layer potential equation over the boundary of a polyhedron. Zbl 0791.65088Rathsfeld, A. 3 1993 The invertibility of the double layer potential operator in the space of continuous functions defined on a polyhedron: The panel method. Zbl 0749.31003Rathsfeld, Andreas 19 1992 On a full discretization scheme for a hypersingular boundary integral equation over smooth curves. Zbl 0782.65133Kieser, Ralf; Kleemann, B.; Rathsfeld, A. 9 1992 On an integral equation of the first kind arising from a cruciform crack problem. Zbl 0753.65098Prössdorf, Siegfried; Rathsfeld, Andreas 9 1991 Quadrature methods for strongly elliptic Cauchy singular integral equations on an interval. Zbl 0724.65129Prössdorf, Siegfried; Rathsfeld, Andreas 8 1989 Quadrature and collocation methods for singular integral equations on curves with corners. Zbl 0686.65096Prössdorf, Siegfried; Rathsfeld, Andreas 4 1989 Mellin techniques in the numerical analysis for one-dimensional singular integral equations. Zbl 0652.65096Prößdorf, Siegfried; Rathsfeld, Andreas 10 1988 Eine Quadraturformelmethode für Mellin-Operatoren nullter Ordnung. (A quadrature formula method for Mellin operators of order zero). Zbl 0667.65100Rathsfeld, Andreas 7 1988 A quadrature method for a Cauchy singular integral equation with a fixed singularity. Zbl 0673.65093Rathsfeld, A. 1 1988 Stabilitätskriterien für Näherungsverfahren bei singulären Integralgleichungen in \(L^ p\). Zbl 0659.65142Prössdorf, Siegfried; Rathsfeld, Andreas 6 1987 On spline Galerkin methods for singular integral equations with piecewise continuous coefficients. Zbl 0619.65142Prößdorf, Siegfried; Rathsfeld, A. 4 1986 Reduktionsverfahren für singuläre Integralgleichungen mit stückweise stetigen Koeffizienten. Zbl 0605.65090Rathsfeld, Andreas 3 1986 Quadraturformelverfahren für eindimensionale singuläre Integralgleichungen. Zbl 0604.65093Rathsfeld, Andreas 2 1986 Spline approximation of singular integral equations. Zbl 0618.65137Elschner, J.; Prössdorf, Siegfried; Rathsfeld, Andreas; Schmidt, G. 6 1985 On strongly elliptic singular integral operators with piecewise continuous coefficients. Zbl 0589.45003Prößdorf, Siegfried; Rathsfeld, Andreas 2 1985 A spline collocation method for singular integral equations with piecewise continuous coefficients. Zbl 0573.65106Prößdorf, Siegfried; Rathsfeld, Andreas 13 1984 all cited Publications top 5 cited Publications all top 5 Cited by 165 Authors 12 Rathsfeld, Andreas 9 Prössdorf, Siegfried 8 Medková, Dagmar 7 Laurita, Concetta 7 Schneider, Reinhold 6 Hu, Guanghui 6 Silbermann, Bernd 5 Junghanns, Peter 5 Nasser, Mohamed M. S. 5 Vainikko, Gennadi M. 5 Yin, Tao 4 Didenko, Victor D. 4 Hansen, Olaf 4 Johnston, Peter Rex 4 Qu, Fenglong 4 Saranen, Jukka 4 Zhang, Bo 3 De Bonis, Maria Carmela 3 Elschner, Johannes 3 Fermo, Luisa 3 Kaiser, Robert 3 Roch, Steffen 3 Schmidt, Gunther 3 Scuderi, Letizia 3 Wendland, Wolfgang L. 3 Xu, Liwei 3 Xu, Yuesheng 3 Yang, Jiaqing 3 Yun, Beong In 2 Abe, Kazuhisa 2 Bao, Gang 2 Cao, Yanzhao 2 Chen, Wensheng 2 Costabel, Martin 2 Cui, Yanli 2 Elliott, David L. 2 Falletta, Silvia 2 Geng, Hongrui 2 González, Oscar R. 2 Gori, Laura 2 Huybrechs, Daan 2 Koro, Kazuhiro 2 Kress, Rainer 2 Liesen, Jörg 2 Maz’ya, Vladimir Gilelevich 2 Mitrea, Irina 2 Monegato, Giovanni 2 Nicholls, David P. 2 Sète, Olivier 2 Sloan, Ian Hugh 2 Vandewalle, Stefan G. 2 Vasilevski, Nikolai Leonidovich 2 Venturino, Ezio 1 Abramyan, M. Eh. 1 Akel, Mohamed S. 1 Arnold, Douglas Norman 1 Atkinson, Kendall Eugene 1 Barucq, Hélène 1 Bertoluzza, Silvia 1 Bühring, Kathrin 1 Bugert, Beatrice 1 Chandler, Graeme A. 1 Chapko, Roman 1 Chappell, David J. 1 Chen, Ke 1 Chen, Zhongying 1 Chuzhanova, N. 1 Cimoroni, Maria Gabriella 1 Crofts, Jonathan J. 1 Dahmen, Wolfgang A. 1 Desiderio, Luca 1 Djellouli, Rabia 1 Dong, Heping 1 Druet, Pierre-Étienne 1 Duduchava, Roland 1 Estecahandy, Elodie 1 Fang, Bin 1 Faustmann, Markus 1 Gibson, Peter C. 1 Grachev, Nikolai V. 1 Graham, Ivan G. 1 Green, Christopher C. 1 Hagen, Roland 1 Hao, Yongle 1 Harbrecht, Helmut 1 Hartmann, Thomas 1 Hawkins, Stuart Collin 1 Hsiao, George C. 1 Huang, Jian 1 Huang, Min 1 Hussein, Hussein S. 1 Jabbari, Mehdi 1 Jeon, Youngmok 1 Jiang, Xuejun 1 Kang, Fengdai 1 Kaplan, Matthew L. 1 Kelle, O. 1 Khoromskij, Boris N. 1 Kirsch, Andreas 1 Konik, Michael ...and 65 more Authors all top 5 Cited in 54 Serials 19 Journal of Integral Equations and Applications 11 Numerische Mathematik 10 Integral Equations and Operator Theory 10 Journal of Computational and Applied Mathematics 8 Applied Numerical Mathematics 6 Applied Mathematics and Computation 5 Applicable Analysis 5 Mathematical Methods in the Applied Sciences 5 Czechoslovak Mathematical Journal 4 Inverse Problems 4 International Journal for Numerical Methods in Engineering 4 Advances in Computational Mathematics 4 Engineering Analysis with Boundary Elements 3 Journal of Mathematical Analysis and Applications 3 Mathematics of Computation 3 Mathematische Nachrichten 3 Numerical Functional Analysis and Optimization 3 Indagationes Mathematicae. New Series 3 Computational Methods and Function Theory 2 Computer Methods in Applied Mechanics and Engineering 2 SIAM Journal on Numerical Analysis 2 Applications of Mathematics 2 Numerical Algorithms 2 Linear Algebra and its Applications 1 Computers & Mathematics with Applications 1 Nonlinearity 1 Wave Motion 1 BIT 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Mathematische Zeitschrift 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 International Journal of Computer Mathematics 1 Archive of Applied Mechanics 1 Russian Mathematics 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Computational Neuroscience 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 ANACM. Applied Numerical Analysis and Computational Mathematics 1 International Journal of Wavelets, Multiresolution and Information Processing 1 International Journal of Computational Methods 1 Inverse Problems and Imaging 1 Discrete and Continuous Dynamical Systems. Series S 1 Science China. Mathematics all top 5 Cited in 16 Fields 111 Numerical analysis (65-XX) 75 Partial differential equations (35-XX) 65 Integral equations (45-XX) 15 Operator theory (47-XX) 15 Optics, electromagnetic theory (78-XX) 14 Mechanics of deformable solids (74-XX) 13 Potential theory (31-XX) 12 Fluid mechanics (76-XX) 9 Functions of a complex variable (30-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 1 Ordinary differential equations (34-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Citations by Year