## Rathsfeld, Andreas

Compute Distance To:
 Author ID: rathsfeld.andreas Published as: Rathsfeld, Andreas; Rathsfeld, A.
 Documents Indexed: 53 Publications since 1984, including 2 Books Co-Authors: 20 Co-Authors with 32 Joint Publications 410 Co-Co-Authors
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### Co-Authors

 21 single-authored 11 Prössdorf, Siegfried 5 Elschner, Johannes 5 Hsiao, George C. 4 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 Lu, Wangtao 1 Mastroianni, Giuseppe 1 Xu, Liwei
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### 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 SIAM Journal on Applied Mathematics 3 ETNA. Electronic Transactions on Numerical Analysis 2 Applicable Analysis 2 Journal of Integral Equations and Applications 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
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### Fields

 41 Numerical analysis (65-XX) 27 Partial differential equations (35-XX) 27 Integral equations (45-XX) 9 Optics, electromagnetic theory (78-XX) 7 Potential theory (31-XX) 7 Fluid mechanics (76-XX) 5 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)

### Citations contained in zbMATH Open

42 Publications have been cited 240 times in 165 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 0749.31003
Rathsfeld, Andreas
1992
A spline collocation method for singular integral equations with piecewise continuous coefficients. Zbl 0573.65106
Prößdorf, Siegfried; Rathsfeld, Andreas
1984
Iterative solution of linear systems arising from the Nyström method for the double-layer potential equation over curves with corners. Zbl 0781.65107
Rathsfeld, A.
1993
On a full discretization scheme for a hypersingular boundary integral equation over smooth curves. Zbl 0782.65133
Kieser, Ralf; Kleemann, B.; Rathsfeld, A.
1992
An optimization method in inverse acoustic scattering by an elastic obstacle. Zbl 1186.35239
Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas
2009
An inverse problem for fluid-solid interaction. Zbl 1141.35470
Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas
2008
Grating profile reconstruction based on finite elements and optimization techniques. Zbl 1059.35165
Elschner, J.; Hsiao, G. C.; Rathsfeld, A.
2003
Mellin techniques in the numerical analysis for one-dimensional singular integral equations. Zbl 0652.65096
Prößdorf, Siegfried; Rathsfeld, Andreas
1988
On an integral equation of the first kind arising from a cruciform crack problem. Zbl 0753.65098
Prössdorf, Siegfried; Rathsfeld, Andreas
1991
A wavelet algorithm for the boundary element solution of a geodetic boundary value problem. Zbl 0943.65137
Rathsfeld, Andreas
1998
The invertibility of the double layer potential operator in the space of continuous functions defined over a polyhedron. The panel method. Erratum. Zbl 0921.31004
Rathsfeld, Andreas
1995
On a fast integral equation method for diffraction gratings. Zbl 1116.78032
Rathsfeld, A.; Schmidt, G.; Kleemann, B. H.
2006
A polynomial collocation method for Cauchy singular integral equations over the interval. Zbl 1024.65131
Junghanns, P.; Rathsfeld, A.
2002
On polynomial collocation for second kind integral equations with fixed singularities of Mellin type. Zbl 1049.65154
Mastroianni, G.; Frammartino, C.; Rathsfeld, A.
2003
Eine Quadraturformelmethode für Mellin-Operatoren nullter Ordnung. (A quadrature formula method for Mellin operators of order zero). Zbl 0667.65100
Rathsfeld, Andreas
1988
Quadrature methods for strongly elliptic Cauchy singular integral equations on an interval. Zbl 0724.65129
Prössdorf, Siegfried; Rathsfeld, Andreas
1989
Wavelet collocation methods for a first kind boundary integral equation in acoustic scattering. Zbl 0999.65138
Hsiao, George C.; Rathsfeld, Andreas
2002
A wavelet algorithm for the solution of a singular integral equation over a smooth two-dimensional manifold. Zbl 0923.65082
Rathsfeld, Andreas
1998
Spline approximation of singular integral equations. Zbl 0618.65137
Elschner, J.; Prössdorf, Siegfried; Rathsfeld, Andreas; Schmidt, G.
1985
Stabilitätskriterien für Näherungsverfahren bei singulären Integralgleichungen in $$L^ p$$. Zbl 0659.65142
Prössdorf, Siegfried; Rathsfeld, Andreas
1987
A wavelet algorithm for the solution of the double layer potential equation over polygonal boundaries. Zbl 0838.65111
Rathsfeld, Andreas
1995
Finite element method to fluid-solid interaction problems with unbounded periodic interfaces. Zbl 1381.74195
Hu, Guanghui; Rathsfeld, Andreas; Yin, Tao
2016
Scattering of time-harmonic electromagnetic plane waves by perfectly conducting diffraction gratings. Zbl 1328.35232
Hu, Guanghui; Rathsfeld, Andreas
2015
On quadrature methods for the double layer potential equation over the boundary of a polyhedron. Zbl 0791.65088
Rathsfeld, A.
1993
Edge asymptotics for the radiosity equation over polyhedral boundaries. Zbl 0919.45001
Rathsfeld, Andreas
1999
On spline Galerkin methods for singular integral equations with piecewise continuous coefficients. Zbl 0619.65142
Prößdorf, Siegfried; Rathsfeld, A.
1986
Quadrature and collocation methods for singular integral equations on curves with corners. Zbl 0686.65096
Prössdorf, Siegfried; Rathsfeld, Andreas
1989
Nyström’s method and iterative solvers for the solution of the double-layer potential equation over polyhedral boundaries. Zbl 0832.65127
Rathsfeld, A.
1995
A BIE-based DtN-FEM for fluid-solid interaction problems. Zbl 1413.74097
Yin, Tao; Rathsfeld, Andreas; Xu, Liwei
2018
Quadrature methods for 2D and 3D problems. Zbl 0971.65119
Rathsfeld, A.
2000
On polynomial collocation for Cauchy singular integral equations with fixed singularities. Zbl 1014.65144
Junghanns, P.; Rathsfeld, A.
2002
On a quadrature algorithm for the piecewise linear wavelet collocation applied to boundary integral equations. Zbl 1074.65141
Rathsfeld, Andreas; Schneider, Reinhold
2003
Reduktionsverfahren für singuläre Integralgleichungen mit stückweise stetigen Koeffizienten. Zbl 0605.65090
Rathsfeld, Andreas
1986
Error estimates and extrapolation for the numerical solution of Mellin convolution equations. Zbl 0851.65097
Rathsfeld, Andreas
1996
Piecewise polynomial collocation for the double layer potential equation over polyhedral boundaries. Zbl 0817.65094
Rathsfeld, Andreas
1995
On strongly elliptic singular integral operators with piecewise continuous coefficients. Zbl 0589.45003
Prößdorf, Siegfried; Rathsfeld, Andreas
1985
Quadraturformelverfahren für eindimensionale singuläre Integralgleichungen. Zbl 0604.65093
Rathsfeld, Andreas
1986
On the stability of piecewise linear wavelet collocation and the solution of the double layer equation over polygonal curves. Zbl 0947.65123
Rathsfeld, A.
1999
On a hierarchical three-point basis in the space of piecewise linear functions over smooth surfaces. Zbl 1016.41003
Rathsfeld, A.
2001
Multiscale methods for boundary integral equations and their application to boundary value problems in scattering theory and geodesy. Zbl 0881.65106
Kleemann, Bernd H.; Rathsfeld, Andreas; Schneider, Reinhold
1996
A quadrature method for a Cauchy singular integral equation with a fixed singularity. Zbl 0673.65093
Rathsfeld, A.
1988
Convergence analysis of the FEM coupled with Fourier-mode expansion for the electromagnetic scattering by biperiodic structures. Zbl 1319.78007
Hu, Guanghui; Rathsfeld, Andreas
2014
A BIE-based DtN-FEM for fluid-solid interaction problems. Zbl 1413.74097
Yin, Tao; Rathsfeld, Andreas; Xu, Liwei
2018
Finite element method to fluid-solid interaction problems with unbounded periodic interfaces. Zbl 1381.74195
Hu, Guanghui; Rathsfeld, Andreas; Yin, Tao
2016
Scattering of time-harmonic electromagnetic plane waves by perfectly conducting diffraction gratings. Zbl 1328.35232
Hu, Guanghui; Rathsfeld, Andreas
2015
Convergence analysis of the FEM coupled with Fourier-mode expansion for the electromagnetic scattering by biperiodic structures. Zbl 1319.78007
Hu, Guanghui; Rathsfeld, Andreas
2014
An optimization method in inverse acoustic scattering by an elastic obstacle. Zbl 1186.35239
Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas
2009
An inverse problem for fluid-solid interaction. Zbl 1141.35470
Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas
2008
On a fast integral equation method for diffraction gratings. Zbl 1116.78032
Rathsfeld, A.; Schmidt, G.; Kleemann, B. H.
2006
Grating profile reconstruction based on finite elements and optimization techniques. Zbl 1059.35165
Elschner, J.; Hsiao, G. C.; Rathsfeld, A.
2003
On polynomial collocation for second kind integral equations with fixed singularities of Mellin type. Zbl 1049.65154
Mastroianni, G.; Frammartino, C.; Rathsfeld, A.
2003
On a quadrature algorithm for the piecewise linear wavelet collocation applied to boundary integral equations. Zbl 1074.65141
Rathsfeld, Andreas; Schneider, Reinhold
2003
A polynomial collocation method for Cauchy singular integral equations over the interval. Zbl 1024.65131
Junghanns, P.; Rathsfeld, A.
2002
Wavelet collocation methods for a first kind boundary integral equation in acoustic scattering. Zbl 0999.65138
Hsiao, George C.; Rathsfeld, Andreas
2002
On polynomial collocation for Cauchy singular integral equations with fixed singularities. Zbl 1014.65144
Junghanns, P.; Rathsfeld, A.
2002
On a hierarchical three-point basis in the space of piecewise linear functions over smooth surfaces. Zbl 1016.41003
Rathsfeld, A.
2001
Quadrature methods for 2D and 3D problems. Zbl 0971.65119
Rathsfeld, A.
2000
Edge asymptotics for the radiosity equation over polyhedral boundaries. Zbl 0919.45001
Rathsfeld, Andreas
1999
On the stability of piecewise linear wavelet collocation and the solution of the double layer equation over polygonal curves. Zbl 0947.65123
Rathsfeld, A.
1999
A wavelet algorithm for the boundary element solution of a geodetic boundary value problem. Zbl 0943.65137
Rathsfeld, Andreas
1998
A wavelet algorithm for the solution of a singular integral equation over a smooth two-dimensional manifold. Zbl 0923.65082
Rathsfeld, Andreas
1998
Error estimates and extrapolation for the numerical solution of Mellin convolution equations. Zbl 0851.65097
Rathsfeld, Andreas
1996
Multiscale methods for boundary integral equations and their application to boundary value problems in scattering theory and geodesy. Zbl 0881.65106
Kleemann, Bernd H.; Rathsfeld, Andreas; Schneider, Reinhold
1996
The invertibility of the double layer potential operator in the space of continuous functions defined over a polyhedron. The panel method. Erratum. Zbl 0921.31004
Rathsfeld, Andreas
1995
A wavelet algorithm for the solution of the double layer potential equation over polygonal boundaries. Zbl 0838.65111
Rathsfeld, Andreas
1995
Nyström’s method and iterative solvers for the solution of the double-layer potential equation over polyhedral boundaries. Zbl 0832.65127
Rathsfeld, A.
1995
Piecewise polynomial collocation for the double layer potential equation over polyhedral boundaries. Zbl 0817.65094
Rathsfeld, Andreas
1995
Iterative solution of linear systems arising from the Nyström method for the double-layer potential equation over curves with corners. Zbl 0781.65107
Rathsfeld, A.
1993
On quadrature methods for the double layer potential equation over the boundary of a polyhedron. Zbl 0791.65088
Rathsfeld, A.
1993
The invertibility of the double layer potential operator in the space of continuous functions defined on a polyhedron: The panel method. Zbl 0749.31003
Rathsfeld, Andreas
1992
On a full discretization scheme for a hypersingular boundary integral equation over smooth curves. Zbl 0782.65133
Kieser, Ralf; Kleemann, B.; Rathsfeld, A.
1992
On an integral equation of the first kind arising from a cruciform crack problem. Zbl 0753.65098
Prössdorf, Siegfried; Rathsfeld, Andreas
1991
Quadrature methods for strongly elliptic Cauchy singular integral equations on an interval. Zbl 0724.65129
Prössdorf, Siegfried; Rathsfeld, Andreas
1989
Quadrature and collocation methods for singular integral equations on curves with corners. Zbl 0686.65096
Prössdorf, Siegfried; Rathsfeld, Andreas
1989
Mellin techniques in the numerical analysis for one-dimensional singular integral equations. Zbl 0652.65096
Prößdorf, Siegfried; Rathsfeld, Andreas
1988
Eine Quadraturformelmethode für Mellin-Operatoren nullter Ordnung. (A quadrature formula method for Mellin operators of order zero). Zbl 0667.65100
Rathsfeld, Andreas
1988
A quadrature method for a Cauchy singular integral equation with a fixed singularity. Zbl 0673.65093
Rathsfeld, A.
1988
Stabilitätskriterien für Näherungsverfahren bei singulären Integralgleichungen in $$L^ p$$. Zbl 0659.65142
Prössdorf, Siegfried; Rathsfeld, Andreas
1987
On spline Galerkin methods for singular integral equations with piecewise continuous coefficients. Zbl 0619.65142
Prößdorf, Siegfried; Rathsfeld, A.
1986
Reduktionsverfahren für singuläre Integralgleichungen mit stückweise stetigen Koeffizienten. Zbl 0605.65090
Rathsfeld, Andreas
1986
Quadraturformelverfahren für eindimensionale singuläre Integralgleichungen. Zbl 0604.65093
Rathsfeld, Andreas
1986
Spline approximation of singular integral equations. Zbl 0618.65137
Elschner, J.; Prössdorf, Siegfried; Rathsfeld, Andreas; Schmidt, G.
1985
On strongly elliptic singular integral operators with piecewise continuous coefficients. Zbl 0589.45003
Prößdorf, Siegfried; Rathsfeld, Andreas
1985
A spline collocation method for singular integral equations with piecewise continuous coefficients. Zbl 0573.65106
Prößdorf, Siegfried; Rathsfeld, Andreas
1984
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### Cited by 172 Authors

 13 Rathsfeld, Andreas 9 Prössdorf, Siegfried 8 Medková, Dagmar 7 Hu, Guanghui 7 Laurita, Concetta 7 Schneider, Reinhold 6 Qu, Fenglong 5 Junghanns, Peter 5 Nasser, Mohamed M. S. 5 Silbermann, Bernd 5 Vainikko, Gennadi 5 Yin, Tao 4 Cui, Yanli 4 Didenko, Victor D. 4 Hansen, Olaf 4 Johnston, Peter Rex 4 Saranen, Jukka 4 Zhang, Bo 3 Bao, Gang 3 De Bonis, Maria Carmela 3 Elschner, Johannes 3 Fermo, Luisa 3 Kaiser, Robert 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 Cao, Yanzhao 2 Chen, Wensheng 2 Costabel, Martin 2 Elliott, David L. 2 Falletta, Silvia 2 Gori, Laura 2 Huybrechs, Daan 2 Koro, Kazuhiro 2 Kress, Rainer 2 Li, Peijun 2 Li, Xiliang 2 Liesen, Jörg 2 Maz’ya, Vladimir Gilelevich 2 Mitrea, Irina 2 Monegato, Giovanni 2 Monk, Peter B. 2 Nicholls, David P. 2 Roch, Steffen 2 Selgas, Virginia 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 Bertoluzza, Silvia 1 Bühring, Kathrin 1 Bugert, Beatrice 1 Chandler-Wilde, Simon N. 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 Delkhosh, Mehdi 1 Desiderio, Luca 1 Dong, Heping 1 Druet, Pierre-Étienne 1 Duduchava, Roland 1 Fang, Bin 1 Faustmann, Markus 1 Geng, Hongrui 1 Gibson, Peter C. 1 Grachev, Nikolai V. 1 Graham, Ivan G. 1 Green, Christopher C. 1 Guo, Jun 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 Sh. 1 Jeon, Youngmok 1 Jiang, Xuejun 1 Kang, Fengdai 1 Kaplan, Matthew L. 1 Kelle, O. 1 Khoromskiĭ, Boris Nikolaevich ...and 72 more Authors
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### Cited in 61 Serials

 19 Journal of Integral Equations and Applications 13 Numerische Mathematik 10 Integral Equations and Operator Theory 9 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 Mathematics of Computation 3 Mathematische Nachrichten 3 Numerical Functional Analysis and Optimization 3 SIAM Journal on Numerical Analysis 3 Computational Methods and Function Theory 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Analysis and Applications 2 Applications of Mathematics 2 Numerical Algorithms 2 Linear Algebra and its Applications 2 SIAM Journal on Applied Mathematics 2 Indagationes Mathematicae. New Series 2 Journal of Inverse and Ill-Posed Problems 2 Boundary Value Problems 1 Acta Mechanica 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 Computational and Applied Mathematics 1 Journal of Computational Neuroscience 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Hacettepe Journal of Mathematics and Statistics 1 ANACM. Applied Numerical Analysis and Computational Mathematics 1 International Journal of Wavelets, Multiresolution and Information Processing 1 International Journal of Computational Methods 1 Communications in Computational Physics 1 Inverse Problems and Imaging 1 Discrete and Continuous Dynamical Systems. Series S 1 Science China. Mathematics 1 Research in the Mathematical Sciences
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### Cited in 17 Fields

 116 Numerical analysis (65-XX) 82 Partial differential equations (35-XX) 66 Integral equations (45-XX) 21 Mechanics of deformable solids (74-XX) 18 Optics, electromagnetic theory (78-XX) 15 Operator theory (47-XX) 14 Potential theory (31-XX) 14 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) 2 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)