Grathwohl, Christine; Kunstmann, Peer Christian; Quinto, Eric Todd; Rieder, Andreas Imaging with the elliptic Radon transform in three dimensions from an analytical and numerical perspective. (English) Zbl 07292255 SIAM J. Imaging Sci. 13, No. 4, 2250-2280 (2020). MSC: 86A15 86A22 35S30 58J40 57R45 PDF BibTeX XML Cite \textit{C. Grathwohl} et al., SIAM J. Imaging Sci. 13, No. 4, 2250--2280 (2020; Zbl 07292255) Full Text: DOI
Kirsch, Andreas; Rieder, Andreas Inverse problems for abstract evolution equations. II: Higher order differentiability for viscoelasticity. (English) Zbl 1427.35361 SIAM J. Appl. Math. 79, No. 6, 2639-2662 (2019). MSC: 35R30 35F10 86A22 PDF BibTeX XML Cite \textit{A. Kirsch} and \textit{A. Rieder}, SIAM J. Appl. Math. 79, No. 6, 2639--2662 (2019; Zbl 1427.35361) Full Text: DOI
Grathwohl, Christine; Kunstmann, Peer; Quinto, Eric Todd; Rieder, Andreas Microlocal analysis of imaging operators for effective common offset seismic reconstruction. (English) Zbl 1397.35007 Inverse Probl. 34, No. 11, Article ID 114001, 24 p. (2018). MSC: 35A27 35R30 35S30 PDF BibTeX XML Cite \textit{C. Grathwohl} et al., Inverse Probl. 34, No. 11, Article ID 114001, 24 p. (2018; Zbl 1397.35007) Full Text: DOI
Winkler, Robert; Rieder, Andreas Resolution-controlled conductivity discretization in electrical impedance tomography. (English) Zbl 1309.65130 SIAM J. Imaging Sci. 7, No. 4, 2048-2077 (2014). MSC: 65N21 92C55 35R30 35Q60 PDF BibTeX XML Cite \textit{R. Winkler} and \textit{A. Rieder}, SIAM J. Imaging Sci. 7, No. 4, 2048--2077 (2014; Zbl 1309.65130) Full Text: DOI
Kirsch, Andreas; Rieder, Andreas On the linearization of operators related to the full waveform inversion in seismology. (English) Zbl 1319.35300 Math. Methods Appl. Sci. 37, No. 18, 2995-3007 (2014). Reviewer: Elena V. Tabarintseva (Chelyabinsk) MSC: 35R30 35L05 86A15 PDF BibTeX XML Cite \textit{A. Kirsch} and \textit{A. Rieder}, Math. Methods Appl. Sci. 37, No. 18, 2995--3007 (2014; Zbl 1319.35300) Full Text: DOI
Kreutzmann, Tim; Rieder, Andreas Geometric reconstruction in bioluminescence tomography. (English) Zbl 1292.92009 Inverse Probl. Imaging 8, No. 1, 173-197 (2014). MSC: 92C55 65K10 65N21 35R30 PDF BibTeX XML Cite \textit{T. Kreutzmann} and \textit{A. Rieder}, Inverse Probl. Imaging 8, No. 1, 173--197 (2014; Zbl 1292.92009) Full Text: DOI
Lechleiter, Armin; Rieder, Andreas Newton regularizations for impedance tomography: Convergence by local injectivity. (English) Zbl 1152.35516 Inverse Probl. 24, No. 6, Article ID 065009, 18 p. (2008). MSC: 35R30 65N30 65J20 65N15 PDF BibTeX XML Cite \textit{A. Lechleiter} and \textit{A. Rieder}, Inverse Probl. 24, No. 6, Article ID 065009, 18 p. (2008; Zbl 1152.35516) Full Text: DOI
Lechleiter, Armin; Rieder, Andreas Newton regularizations for impedance tomography: a numerical study. (English) Zbl 1109.65100 Inverse Probl. 22, No. 6, 1967-1987 (2006). MSC: 65N30 65J20 44A12 78A25 35Q60 35R25 35R30 78M10 PDF BibTeX XML Cite \textit{A. Lechleiter} and \textit{A. Rieder}, Inverse Probl. 22, No. 6, 1967--1987 (2006; Zbl 1109.65100) Full Text: DOI
Rieder, Andreas No problems with inverse problems. An introduction to its stable solutions. (Keine Probleme mit inversen Problemen. Eine Einführung in ihre stabile Lösung.) (German) Zbl 1057.65035 Wiesbaden: Vieweg (ISBN 3-528-03198-0/pbk). xiv, 300 S. (2003). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65J22 45Q05 47A52 47J06 35R30 65R32 34A55 65N21 65M32 65J10 65J15 65J20 65-02 65L09 PDF BibTeX XML Cite \textit{A. Rieder}, Keine Probleme mit inversen Problemen. Eine Einführung in ihre stabile Lösung. Wiesbaden: Vieweg (2003; Zbl 1057.65035)
Rieder, Andreas Embedding and a priori wavelet-adaptivity for Dirichlet problems. (English) Zbl 0985.65149 M2AN, Math. Model. Numer. Anal. 34, No. 6, 1189-1202 (2000). Reviewer: Teresa Regińska (Warszawa) MSC: 65N30 65T60 65N50 35J25 PDF BibTeX XML Cite \textit{A. Rieder}, M2AN, Math. Model. Numer. Anal. 34, No. 6, 1189--1202 (2000; Zbl 0985.65149) Full Text: DOI Link EuDML
Rieder, Andreas On the regularization of nonlinear ill-posed problems via inexact Newton iterations. (English) Zbl 0969.65049 Inverse Probl. 15, No. 1, 309-327 (1999). Reviewer: Gabriel Dimitriu (Iaşi) MSC: 65J15 65N21 35R30 65J20 47J25 47J06 PDF BibTeX XML Cite \textit{A. Rieder}, Inverse Probl. 15, No. 1, 309--327 (1999; Zbl 0969.65049) Full Text: DOI
Rieder, Andreas A domain embedding method for Dirichlet problems in arbitrary space dimension. (English) Zbl 0913.65099 RAIRO, Modélisation Math. Anal. Numér. 32, No. 4, 405-431 (1998). Reviewer: Th.Sonar (Hamburg) MSC: 65N30 35J25 65N15 65F10 65F35 PDF BibTeX XML Cite \textit{A. Rieder}, RAIRO, Modélisation Math. Anal. Numér. 32, No. 4, 405--431 (1998; Zbl 0913.65099) Full Text: DOI EuDML
Rieder, Andreas On embedding techniques for 2nd-order elliptic problems. (English) Zbl 0911.65111 Bristeau, M.-O. (ed.) et al., Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5–7, 1997. Chichester: John Wiley & Sons. 179-188 (1997). MSC: 65N30 35J25 65N15 65F35 PDF BibTeX XML Cite \textit{A. Rieder}, in: Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5--7, 1997. Chichester: John Wiley \& Sons. 179--188 (1997; Zbl 0911.65111)
Rieder, Andreas Wavelet methods for ill-posed elliptic problems. (Wavelet-Methoden für schlecht-gestellte und elliptische Probleme.) (German) Zbl 0866.65076 Ann. Univ. Sarav., Ser. Math. 7, No. 4, 75-194 (1997). MSC: 65N30 35J25 65N15 65F35 35R25 65N12 PDF BibTeX XML Cite \textit{A. Rieder}, Ann. Univ. Sarav., Ser. Math. 7, No. 4, 75--194 (1997; Zbl 0866.65076)
Glowinski, Roland; Rieder, Andreas; Wells, Raymond O. jun.; Zhou, Xiaodong A wavelet multigrid preconditioner for Dirichlet boundary value problems in general domains. (English) Zbl 0860.65121 RAIRO, Modélisation Math. Anal. Numér. 30, No. 6, 711-729 (1996). Reviewer: P.Chocholatý (Bratislava) MSC: 65N55 35J25 65N30 65F35 65F10 PDF BibTeX XML Cite \textit{R. Glowinski} et al., RAIRO, Modélisation Math. Anal. Numér. 30, No. 6, 711--729 (1996; Zbl 0860.65121) Full Text: DOI EuDML
Glowinski, R.; Rieder, A.; Wells, R. O.; Zhou, X. A preconditioned CG-method for wavelet-Galerkin discretizations of elliptic problems. (English) Zbl 0850.65221 Z. Angew. Math. Mech. 75, Suppl. 2, S683-S684 (1995). MSC: 65N30 65F10 65F35 35J25 PDF BibTeX XML Cite \textit{R. Glowinski} et al., Z. Angew. Math. Mech. 75, S683--S684 (1995; Zbl 0850.65221)
Rieder, A. Multilevel methods based on wavelet decompositions. (English) Zbl 0852.65111 East-West J. Numer. Math. 2, No. 4, 313-330 (1994). MSC: 65N55 35J25 65N12 65F10 34B10 65L10 45C05 65R20 PDF BibTeX XML Cite \textit{A. Rieder}, East-West J. Numer. Math. 2, No. 4, 313--330 (1994; Zbl 0852.65111)
Rieder, Andreas; Wells, Raymond O. jun.; Zhou, Xiaodong A wavelet approach to robust multilevel solvers for anisotropic elliptic problems. (English) Zbl 0864.65073 Appl. Comput. Harmon. Anal. 1, No. 4, 355-367 (1994). MSC: 65N55 65F10 35J25 65N30 65N12 PDF BibTeX XML Cite \textit{A. Rieder} et al., Appl. Comput. Harmon. Anal. 1, No. 4, 355--367 (1994; Zbl 0864.65073) Full Text: DOI
Rieder, A.; Zhou, X. On the robustness of the damped \(V\)-cycle of the wavelet frequency decomposition multigrid method. (English) Zbl 0809.65118 Computing 53, No. 2, 155-171 (1994). Reviewer: S.F.McCormick (Boulder) MSC: 65N55 65N30 65F10 35J25 PDF BibTeX XML Cite \textit{A. Rieder} and \textit{X. Zhou}, Computing 53, No. 2, 155--171 (1994; Zbl 0809.65118) Full Text: DOI