Maierhofer, Georg; Huybrechs, Daan An analysis of least-squares oversampled collocation methods for compactly perturbed boundary integral equations in two dimensions. (English) Zbl 1502.65277 J. Comput. Appl. Math. 416, Article ID 114500, 16 p. (2022). MSC: 65R20 65N35 45B05 PDFBibTeX XMLCite \textit{G. Maierhofer} and \textit{D. Huybrechs}, J. Comput. Appl. Math. 416, Article ID 114500, 16 p. (2022; Zbl 1502.65277) Full Text: DOI arXiv
Maierhofer, Georg; Huybrechs, Daan Convergence analysis of oversampled collocation boundary element methods in 2D. (English) Zbl 1487.65188 Adv. Comput. Math. 48, No. 2, Paper No. 11, 39 p. (2022). MSC: 65N35 65N38 65N12 45B05 65K10 35J05 PDFBibTeX XMLCite \textit{G. Maierhofer} and \textit{D. Huybrechs}, Adv. Comput. Math. 48, No. 2, Paper No. 11, 39 p. (2022; Zbl 1487.65188) Full Text: DOI arXiv
Fedotov, Aleksandr Ivanovich On asymptotic convergence of polynomial collocation method for one class of singular integro-differential equations. (Russian. English summary) Zbl 1463.65419 Ufim. Mat. Zh. 12, No. 1, 43-55 (2020); translation in Ufa Math. J. 12, No. 1, 43-55 (2020). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{A. I. Fedotov}, Ufim. Mat. Zh. 12, No. 1, 43--55 (2020; Zbl 1463.65419); translation in Ufa Math. J. 12, No. 1, 43--55 (2020) Full Text: DOI MNR
Aimi, A.; Calabrò, F.; Diligenti, M.; Sampoli, M. L.; Sangalli, G.; Sestini, A. Efficient assembly based on B-spline tailored quadrature rules for the IgA-SGBEM. (English) Zbl 1439.65207 Comput. Methods Appl. Mech. Eng. 331, 327-342 (2018). MSC: 65N38 65D07 PDFBibTeX XMLCite \textit{A. Aimi} et al., Comput. Methods Appl. Mech. Eng. 331, 327--342 (2018; Zbl 1439.65207) Full Text: DOI arXiv
Montardini, M.; Sangalli, G.; Tamellini, L. Optimal-order isogeometric collocation at Galerkin superconvergent points. (English) Zbl 1439.65187 Comput. Methods Appl. Mech. Eng. 316, 741-757 (2017). MSC: 65N30 65D07 65N12 65N35 PDFBibTeX XMLCite \textit{M. Montardini} et al., Comput. Methods Appl. Mech. Eng. 316, 741--757 (2017; Zbl 1439.65187) Full Text: DOI arXiv
Sakakibara, Koya Asymptotic analysis of the conventional and invariant schemes for the method of fundamental solutions applied to potential problems in doubly-connected regions. (English) Zbl 1373.65089 Japan J. Ind. Appl. Math. 34, No. 1, 177-228 (2017). Reviewer: Sarah Eberle (Tübingen) MSC: 65N80 65N35 65N12 35J05 35J08 35J30 PDFBibTeX XMLCite \textit{K. Sakakibara}, Japan J. Ind. Appl. Math. 34, No. 1, 177--228 (2017; Zbl 1373.65089) Full Text: DOI
Lavrova, Olga; Polevikov, Viktor Application of collocation BEM for axisymmetric transmission problems in electro- and magnetostatics. (English) Zbl 1488.65700 Math. Model. Anal. 21, No. 1, 16-34 (2016). MSC: 65N38 65N35 78A30 35J05 35J25 PDFBibTeX XMLCite \textit{O. Lavrova} and \textit{V. Polevikov}, Math. Model. Anal. 21, No. 1, 16--34 (2016; Zbl 1488.65700) Full Text: DOI
Sakakibara, Koya Analysis of the dipole simulation method for two-dimensional Dirichlet problems in Jordan regions with analytic boundaries. (English) Zbl 1355.65170 BIT 56, No. 4, 1369-1400 (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N80 65N35 65N12 35J05 35J08 PDFBibTeX XMLCite \textit{K. Sakakibara}, BIT 56, No. 4, 1369--1400 (2016; Zbl 1355.65170) Full Text: DOI
Domínguez, Víctor; Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier A fully discrete Calderón calculus for the two-dimensional elastic wave equation. (English) Zbl 1443.65402 Comput. Math. Appl. 69, No. 7, 620-635 (2015). MSC: 65N38 74J20 PDFBibTeX XMLCite \textit{V. Domínguez} et al., Comput. Math. Appl. 69, No. 7, 620--635 (2015; Zbl 1443.65402) Full Text: DOI arXiv
Marussig, Benjamin; Zechner, Jürgen; Beer, Gernot; Fries, Thomas-Peter Fast isogeometric boundary element method based on independent field approximation. (English) Zbl 1423.74101 Comput. Methods Appl. Mech. Eng. 284, 458-488 (2015). MSC: 74B05 65D17 65N38 74S15 PDFBibTeX XMLCite \textit{B. Marussig} et al., Comput. Methods Appl. Mech. Eng. 284, 458--488 (2015; Zbl 1423.74101) Full Text: DOI arXiv
Yu, Kok Hwa; Kadarman, A. Halim; Djojodihardjo, Harijono Development and implementation of some BEM variants - A critical review. (English) Zbl 1244.65212 Eng. Anal. Bound. Elem. 34, No. 10, 884-899 (2010). MSC: 65N38 65-02 PDFBibTeX XMLCite \textit{K. H. Yu} et al., Eng. Anal. Bound. Elem. 34, No. 10, 884--899 (2010; Zbl 1244.65212) Full Text: DOI
Ye, Wenjing; Fei, Yan On the convergence of the panel method for potential problems with non-smooth domains. (English) Zbl 1244.65159 Eng. Anal. Bound. Elem. 33, No. 6, 837-844 (2009). MSC: 65N12 65N38 PDFBibTeX XMLCite \textit{W. Ye} and \textit{Y. Fei}, Eng. Anal. Bound. Elem. 33, No. 6, 837--844 (2009; Zbl 1244.65159) Full Text: DOI
Micula, Sanda; Wendland, Wolfgang L. Spline approximation of a non-linear Riemann-Hilbert problem. (English) Zbl 1163.41001 Appl. Anal. 87, No. 9, 1067-1083 (2008). Reviewer: Vasily A. Chernecky (Odessa) MSC: 41A15 35J65 47H10 47H11 65R20 30E25 34B16 PDFBibTeX XMLCite \textit{S. Micula} and \textit{W. L. Wendland}, Appl. Anal. 87, No. 9, 1067--1083 (2008; Zbl 1163.41001) Full Text: DOI
Grigorieff, R. D.; Sloan, I. H. Discrete orthogonal projections on multiple knot periodic splines. (English) Zbl 1083.41006 J. Approximation Theory 137, No. 2, 201-225 (2005). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 PDFBibTeX XMLCite \textit{R. D. Grigorieff} and \textit{I. H. Sloan}, J. Approx. Theory 137, No. 2, 201--225 (2005; Zbl 1083.41006) Full Text: DOI
Grigorieff, R. D. Superapproximation for projections on spline spaces. (English) Zbl 1069.41009 Numer. Math. 99, No. 4, 657-668 (2005). Reviewer: Dietrich Braess (Bochum) MSC: 41A15 PDFBibTeX XMLCite \textit{R. D. Grigorieff}, Numer. Math. 99, No. 4, 657--668 (2005; Zbl 1069.41009) Full Text: DOI
Domínguez, Víctor; Sayas, Francisco-Javier An asymptotic series approach to qualocation methods. (English) Zbl 1044.65088 J. Integral Equations Appl. 15, No. 2, 113-151 (2003). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 65N12 65N15 35S15 PDFBibTeX XMLCite \textit{V. Domínguez} and \textit{F.-J. Sayas}, J. Integral Equations Appl. 15, No. 2, 113--151 (2003; Zbl 1044.65088) Full Text: DOI
Sloan, Ian H.; Tran, Thanh The tolerant qualocation method for variable-coefficient elliptic equations on curves. (English) Zbl 0982.65129 J. Integral Equations Appl. 13, No. 1, 73-98 (2001). Reviewer: V.Dolejsi (Praha) MSC: 65N35 35J25 65N12 PDFBibTeX XMLCite \textit{I. H. Sloan} and \textit{T. Tran}, J. Integral Equations Appl. 13, No. 1, 73--98 (2001; Zbl 0982.65129) Full Text: DOI Link
Celorrio, Ricardo; Sayas, Francisco-Javier Extrapolation techniques and the collocation method for a class of boundary integral equations. (English) Zbl 0973.65111 ANZIAM J. 42, No. 3, 413-437 (2001). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 45E10 65R20 65N15 35J25 PDFBibTeX XMLCite \textit{R. Celorrio} and \textit{F.-J. Sayas}, ANZIAM J. 42, No. 3, 413--437 (2001; Zbl 0973.65111) Full Text: DOI
Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming Algorithms and visualization for solutions of nonlinear elliptic equations. (English) Zbl 1090.65549 Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, No. 7, 1565-1612 (2000). MSC: 65N55 35J60 PDFBibTeX XMLCite \textit{G. Chen} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, No. 7, 1565--1612 (2000; Zbl 1090.65549) Full Text: DOI
Voronin, V. V. Estimation of the condition number of a matrix in the direct discretization of the Symm equation on a quasi-uniform grid. (English, Russian) Zbl 0969.65119 Sib. Math. J. 41, No. 4, 643-655 (2000); translation from Sib. Mat. Zh. 41, No. 4, 777-791 (2000). Reviewer: V.Grebenev (Novosibirsk) MSC: 65R20 65N38 65R30 45E10 PDFBibTeX XMLCite \textit{V. V. Voronin}, Sib. Math. J. 41, No. 4, 777--791 (2000; Zbl 0969.65119); translation from Sib. Mat. Zh. 41, No. 4, 777--791 (2000) Full Text: DOI EuDML
Sloan, Ian H. Qualocation. (English) Zbl 0973.65109 J. Comput. Appl. Math. 125, No. 1-2, 461-478 (2000). Reviewer: Gerald W.Hedstrom (Pleasanton) MSC: 65N38 65-02 35J25 PDFBibTeX XMLCite \textit{I. H. Sloan}, J. Comput. Appl. Math. 125, No. 1--2, 461--478 (2000; Zbl 0973.65109) Full Text: DOI
Elschner, J.; Graham, I. G. Numerical methods for integral equations of Mellin type. (English) Zbl 0973.65129 J. Comput. Appl. Math. 125, No. 1-2, 423-437 (2000). Reviewer: I.V.Boikov (Penza) MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{J. Elschner} and \textit{I. G. Graham}, J. Comput. Appl. Math. 125, No. 1--2, 423--437 (2000; Zbl 0973.65129) Full Text: DOI
Hsiao, G. C.; Schnack, E.; Wendland, W. L. Hybrid coupled finite-boundary element methods for elliptic systems of second order. (English) Zbl 0973.65110 Comput. Methods Appl. Mech. Eng. 190, No. 5-7, 431-485 (2000). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 35J55 65N12 74S05 65N30 65N15 74S15 74B05 PDFBibTeX XMLCite \textit{G. C. Hsiao} et al., Comput. Methods Appl. Mech. Eng. 190, No. 5--7, 431--485 (2000; Zbl 0973.65110) Full Text: DOI
Didenko, V. D.; Silbermann, B. Stability of approximation methods on locally non-equidistant meshes for singular integral equations. (English) Zbl 0974.65121 J. Integral Equations Appl. 11, No. 3, 317-349 (1999). MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{V. D. Didenko} and \textit{B. Silbermann}, J. Integral Equations Appl. 11, No. 3, 317--349 (1999; Zbl 0974.65121) Full Text: DOI Link
Hsiao, G. C.; Schnack, E.; Wendland, W. L. A hybrid coupled finite-boundary element method in elasticity. (English) Zbl 0957.74051 Comput. Methods Appl. Mech. Eng. 173, No. 3-4, 287-316 (1999). Reviewer: Z.Dżygadło (Warszawa) MSC: 74S05 74S15 74B05 74G15 PDFBibTeX XMLCite \textit{G. C. Hsiao} et al., Comput. Methods Appl. Mech. Eng. 173, No. 3--4, 287--316 (1999; Zbl 0957.74051) Full Text: DOI
Sloan, Ian H.; Wendland, Wolfgang L. Commutator properties for periodic splines. (English) Zbl 0926.41007 J. Approximation Theory 97, No. 2, 254-281 (1999). Reviewer: Richard A.Zalik (Auburn University) MSC: 41A15 PDFBibTeX XMLCite \textit{I. H. Sloan} and \textit{W. L. Wendland}, J. Approx. Theory 97, No. 2, 254--281 (1999; Zbl 0926.41007) Full Text: DOI
Prößdorf, Siegfried; Schult, Jörg Approximation and commutator properties of projections onto shift-invariant subspaces and applications to boundary integral equations. (English) Zbl 0921.41004 J. Integral Equations Appl. 10, No. 4, 417-444 (1998). Reviewer: I.Badea (Craiova) MSC: 41A05 41A15 41A17 45B05 45E10 65R20 45M10 65N12 65N35 65N38 PDFBibTeX XMLCite \textit{S. Prößdorf} and \textit{J. Schult}, J. Integral Equations Appl. 10, No. 4, 417--444 (1998; Zbl 0921.41004) Full Text: DOI Link
Tran, Thanh; Sloan, Ian H. Tolerant qualocation – a qualocation method for boundary integral equations with reduced regularity requirement. (English) Zbl 0916.65109 J. Integral Equations Appl. 10, No. 1, 85-115 (1998). Reviewer: Gerald W.Hedstrom (Pleasanton) MSC: 65N38 35J05 65N15 PDFBibTeX XMLCite \textit{T. Tran} and \textit{I. H. Sloan}, J. Integral Equations Appl. 10, No. 1, 85--115 (1998; Zbl 0916.65109) Full Text: DOI Link
Martin, P. A.; Rizzo, F. J.; Cruse, T. A. Smoothness-relaxation strategies for singular and hypersingular integral equations. (English) Zbl 0913.65105 Int. J. Numer. Methods Eng. 42, No. 5, 885-906 (1998). Reviewer: Andreas Pomp (Zürich) MSC: 65N38 35J25 45E05 65R20 PDFBibTeX XMLCite \textit{P. A. Martin} et al., Int. J. Numer. Methods Eng. 42, No. 5, 885--906 (1998; Zbl 0913.65105) Full Text: DOI
Amini, S.; Maines, N. D. Preconditioned Krylov subspace methods for boundary element solution of the Helmholtz equation. (English) Zbl 0907.65118 Int. J. Numer. Methods Eng. 41, No. 5, 875-898 (1998). Reviewer: G.Schmidt (Berlin) MSC: 65N38 65F35 65F10 35J05 PDFBibTeX XMLCite \textit{S. Amini} and \textit{N. D. Maines}, Int. J. Numer. Methods Eng. 41, No. 5, 875--898 (1998; Zbl 0907.65118) Full Text: DOI
Sloan, Ian H.; Atkinson, Kendall E. Semi-discrete Galerkin approximations for the single-layer equation on Lipschitz curves. (English) Zbl 0899.65067 J. Integral Equations Appl. 9, No. 3, 279-292 (1997). Reviewer: G.Hedstrom (Livermore) MSC: 65N38 65N12 65N15 35J05 PDFBibTeX XMLCite \textit{I. H. Sloan} and \textit{K. E. Atkinson}, J. Integral Equations Appl. 9, No. 3, 279--292 (1997; Zbl 0899.65067) Full Text: DOI Link
Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L. Analysis of a FEM/BEM coupling method for transonic flow computations. (English) Zbl 0898.76054 Math. Comput. 66, No. 220, 1407-1440 (1997). MSC: 76M10 76M15 65N30 76H05 PDFBibTeX XMLCite \textit{H. Berger} et al., Math. Comput. 66, No. 220, 1407--1440 (1997; Zbl 0898.76054) Full Text: DOI
Katsurada, Masashi; Okamoto, Hisashi The collocation points of the fundamental solution method for the potential problem. (English) Zbl 0852.65101 Comput. Math. Appl. 31, No. 1, 123-137 (1996). Reviewer: I. N. Molchanov (Kyïv) MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{M. Katsurada} and \textit{H. Okamoto}, Comput. Math. Appl. 31, No. 1, 123--137 (1996; Zbl 0852.65101) Full Text: DOI
Costabel, Martin; Dauge, Monique Invertibility of the biharmonic single layer potential operator. (English) Zbl 0840.47039 Integral Equations Oper. Theory 24, No. 1, 46-67 (1996). MSC: 47G10 31A10 45P05 47A75 PDFBibTeX XMLCite \textit{M. Costabel} and \textit{M. Dauge}, Integral Equations Oper. Theory 24, No. 1, 46--67 (1996; Zbl 0840.47039) Full Text: DOI
McLean, William Fully-discrete collocation methods for an integral equation of the first kind. (English) Zbl 0839.65147 J. Integral Equations Appl. 6, No. 4, 537-571 (1994). Reviewer: G.Schmidt (Berlin) MSC: 65R20 45E10 65N38 PDFBibTeX XMLCite \textit{W. McLean}, J. Integral Equations Appl. 6, No. 4, 537--571 (1994; Zbl 0839.65147) Full Text: DOI
Saranen, J.; Schroderus, L. The modified quadrature method for classical pseudodifferential equations of negative order on smooth closed curves. (English) Zbl 0811.65133 J. Comput. Appl. Math. 50, No. 1-3, 485-495 (1994). Reviewer: L.Hącia (Poznań) MSC: 65R20 65N38 35S05 PDFBibTeX XMLCite \textit{J. Saranen} and \textit{L. Schroderus}, J. Comput. Appl. Math. 50, No. 1--3, 485--495 (1994; Zbl 0811.65133) Full Text: DOI
Katsurada, Masashi Charge simulation method using exterior mapping functions. (English) Zbl 0816.35017 Japan J. Ind. Appl. Math. 11, No. 1, 47-61 (1994). MSC: 35J05 35A35 35E05 35J25 PDFBibTeX XMLCite \textit{M. Katsurada}, Japan J. Ind. Appl. Math. 11, No. 1, 47--61 (1994; Zbl 0816.35017) Full Text: DOI
Dahmen, Wolfgang; Prössdorf, Siegfried; Schneider, R. Wavelet approximation methods for pseudodifferential equations. I: Stability and convergence. (English) Zbl 0794.65082 Math. Z. 215, No. 4, 583-620 (1994). Reviewer: W.Dahmen (Aachen) MSC: 65N30 65N12 65N35 42C40 35S15 PDFBibTeX XMLCite \textit{W. Dahmen} et al., Math. Z. 215, No. 4, 583--620 (1994; Zbl 0794.65082) Full Text: DOI EuDML
Joe, S.; Yan, Y. A piecewise constant collocation method using cosine mesh grading for Symm’s equation. (English) Zbl 0799.65146 Numer. Math. 65, No. 4, 423-433 (1993). Reviewer: H.Brunner (St.John’s) MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{S. Joe} and \textit{Y. Yan}, Numer. Math. 65, No. 4, 423--433 (1993; Zbl 0799.65146) Full Text: DOI EuDML
Tran, Thanh The \(K\)-operator and the qualocation method for strongly elliptic equations on smooth curves. (English) Zbl 0795.65094 J. Integral Equations Appl. 5, No. 3, 405-428 (1993). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 35S05 PDFBibTeX XMLCite \textit{T. Tran}, J. Integral Equations Appl. 5, No. 3, 405--428 (1993; Zbl 0795.65094) Full Text: DOI
Cheng, R. S.-C. On using a modified Nyström method to solve the 2-D potential problem. (English) Zbl 0780.65070 J. Integral Equations Appl. 5, No. 2, 167-193 (1993). MSC: 65N38 65N12 65R20 35J05 31A30 45E10 PDFBibTeX XMLCite \textit{R. S. C. Cheng}, J. Integral Equations Appl. 5, No. 2, 167--193 (1993; Zbl 0780.65070) Full Text: DOI
Ganesh, M. A BIE method for a nonlinear BVP. (English) Zbl 0779.65074 J. Comput. Appl. Math. 45, No. 3, 299-308 (1993). Reviewer: E.L.Allgower (Fort Collins) MSC: 65N38 65N35 65N12 35J05 35J65 PDFBibTeX XMLCite \textit{M. Ganesh}, J. Comput. Appl. Math. 45, No. 3, 299--308 (1993; Zbl 0779.65074) Full Text: DOI
Prössdorf, Siegfried; Schneider, R. Spline approximation methods for multidimensional periodic pseudodifferential equations. (English) Zbl 0757.65146 Integral Equations Oper. Theory 15, No. 4, 626-672 (1992). Reviewer: W.Heinrichs (Düsseldorf) MSC: 65R20 35S05 45E05 47G30 PDFBibTeX XMLCite \textit{S. Prössdorf} and \textit{R. Schneider}, Integral Equations Oper. Theory 15, No. 4, 626--672 (1992; Zbl 0757.65146) Full Text: DOI
Ervin, V. J.; Stephan, E. P. Collocation with Chebyshev polynomials for a hypersingular integral equation on an interval. (English) Zbl 0762.65093 J. Comput. Appl. Math. 43, No. 1-2, 221-229 (1992). Reviewer: G.Vainikko (Tartu) MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{V. J. Ervin} and \textit{E. P. Stephan}, J. Comput. Appl. Math. 43, No. 1--2, 221--229 (1992; Zbl 0762.65093) Full Text: DOI
Sloan, Ian H.; Burn, B. J. An unconventional quadrature method for logarithmic-kernel integral equations on closed curves. (English) Zbl 0760.65131 J. Integral Equations Appl. 4, No. 1, 117-151 (1992). Reviewer: M.Schleiff (Halle) MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{I. H. Sloan} and \textit{B. J. Burn}, J. Integral Equations Appl. 4, No. 1, 117--151 (1992; Zbl 0760.65131) Full Text: DOI
Hamina, M.; Ruotsalainen, K.; Saranen, J. The numerical approximation of the solution of a nonlinear boundary integral equation with the collocation method. (English) Zbl 0758.65070 J. Integral Equations Appl. 4, No. 1, 95-116 (1992). Reviewer: Qin Mengzhao (Beijing) MSC: 65N38 65N35 65N12 31A30 35J05 35J65 35C15 PDFBibTeX XMLCite \textit{M. Hamina} et al., J. Integral Equations Appl. 4, No. 1, 95--116 (1992; Zbl 0758.65070) Full Text: DOI
Costabel, Martin; McLean, William Spline collocation for strongly elliptic equations on the torus. (English) Zbl 0767.65079 Numer. Math. 62, No. 4, 511-538 (1992). Reviewer: C.L.Koul (Jaipur) MSC: 65N35 65N38 65R20 65N15 65N12 35J25 35R15 PDFBibTeX XMLCite \textit{M. Costabel} and \textit{W. McLean}, Numer. Math. 62, No. 4, 511--538 (1992; Zbl 0767.65079) Full Text: DOI EuDML
Chandler, G. A. Midpoint collocation for Cauchy singular integral equations. (English) Zbl 0762.65092 Numer. Math. 62, No. 4, 483-509 (1992). Reviewer: J.Elschner (Berlin) MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{G. A. Chandler}, Numer. Math. 62, No. 4, 483--509 (1992; Zbl 0762.65092) Full Text: DOI EuDML
Prössdorf, Siegfried; Schneider, R. A spline collocation method for multidimensional strongly elliptic pseudodifferential operators of order zero. (English) Zbl 0737.47043 Integral Equations Oper. Theory 14, No. 3, 399-435 (1991). Reviewer: C.Zuily (Orsay) MSC: 47G30 35S05 65M70 45K05 45L05 PDFBibTeX XMLCite \textit{S. Prössdorf} and \textit{R. Schneider}, Integral Equations Oper. Theory 14, No. 3, 399--435 (1991; Zbl 0737.47043) Full Text: DOI
Schneider, R. Stability of a spline collocation method for strongly elliptic multidimensional singular integral equations. (English) Zbl 0724.65134 Numer. Math. 58, No. 8, 855-873 (1991). Reviewer: L.Hącia (Poznań) MSC: 65R20 45P05 47G30 PDFBibTeX XMLCite \textit{R. Schneider}, Numer. Math. 58, No. 8, 855--873 (1991; Zbl 0724.65134) Full Text: DOI EuDML
Saranen, Jukka The modified quadrature method for logarithmic-kernel integral equations on closed curves. (English) Zbl 0747.65100 J. Integral Equations Appl. 3, No. 4, 575-600 (1991). Reviewer: M.Schleiff (Halle) MSC: 65R20 65N38 45E10 PDFBibTeX XMLCite \textit{J. Saranen}, J. Integral Equations Appl. 3, No. 4, 575--600 (1991; Zbl 0747.65100) Full Text: DOI
Prössdorf, Siegfried On the super-approximation property of Galerkin’s method with finite elements. (English) Zbl 0745.65064 Numer. Math. 59, No. 7, 711-722 (1991). Reviewer: P.Onumanyi (Ilorin) MSC: 65N30 65N35 35J25 35S15 PDFBibTeX XMLCite \textit{S. Prössdorf}, Numer. Math. 59, No. 7, 711--722 (1991; Zbl 0745.65064) Full Text: DOI EuDML
Ingber, Marc S.; Rudolphi, Thomas J. Solution of potential problems using combinations of the regular and derivative boundary integral equations. (English) Zbl 0714.65086 Appl. Math. Modelling 14, No. 10, 536-543 (1990). Reviewer: E.V.Nicolau MSC: 65N38 65R20 35C15 45E05 35J05 PDFBibTeX XMLCite \textit{M. S. Ingber} and \textit{T. J. Rudolphi}, Appl. Math. Modelling 14, No. 10, 536--543 (1990; Zbl 0714.65086) Full Text: DOI
Chandler, G. A.; Sloan, I. H. Spline qualocation methods for boundary integral equations. (English) Zbl 0694.65068 Numer. Math. 58, No. 5, 537-567 (1990). Reviewer: G.A.Chandler MSC: 65R20 65N35 35C15 35S15 45E10 65N38 PDFBibTeX XMLCite \textit{G. A. Chandler} and \textit{I. H. Sloan}, Numer. Math. 58, No. 5, 537--567 (1990; Zbl 0694.65068) Full Text: DOI EuDML
Eggermont, P. P. B.; Saranen, J. \(L^ p\) estimates of boundary integral equations for some nonlinear boundary value problems. (English) Zbl 0694.65056 Numer. Math. 58, No. 5, 465-478 (1990). Reviewer: J.Saranen MSC: 65N38 65E05 65R20 35J65 31A25 35C15 45E10 PDFBibTeX XMLCite \textit{P. P. B. Eggermont} and \textit{J. Saranen}, Numer. Math. 58, No. 5, 465--478 (1990; Zbl 0694.65056) Full Text: DOI EuDML
Christiansen, Søren First kind integral equations for the numerical solution of the plane Dirichlet problem. (English) Zbl 0695.65068 Apl. Mat. 34, No. 4, 285-302 (1989). Reviewer: R.Farzan MSC: 65N35 65R20 35J25 35C15 45E10 PDFBibTeX XMLCite \textit{S. Christiansen}, Apl. Mat. 34, No. 4, 285--302 (1989; Zbl 0695.65068) Full Text: EuDML
Saranen, Jukka Extrapolation methods for spline collocation solutions of pseudodifferential equations on curves. (English) Zbl 0686.65085 Numer. Math. 56, No. 4, 385-407 (1989). Reviewer: H.Matthies MSC: 65N35 65N15 35S15 PDFBibTeX XMLCite \textit{J. Saranen}, Numer. Math. 56, No. 4, 385--407 (1989; Zbl 0686.65085) Full Text: DOI EuDML
Ruotsalainen, K.; Saranen, J. On the collocation method for a nonlinear boundary integral equation. (English) Zbl 0684.65098 J. Comput. Appl. Math. 28, 339-348 (1989). Reviewer: P.Polcar MSC: 65N35 65R20 45G05 31A15 35J05 35J65 35C15 PDFBibTeX XMLCite \textit{K. Ruotsalainen} and \textit{J. Saranen}, J. Comput. Appl. Math. 28, 339--348 (1989; Zbl 0684.65098) Full Text: DOI
Sloan, Ian H. A quadrature-based approach to improving the collocation method. (English) Zbl 0668.65111 Numer. Math. 54, No. 1, 41-56 (1988). Reviewer: P.P.B.Eggermont MSC: 65R20 65N35 35J25 45E10 35C15 PDFBibTeX XMLCite \textit{I. H. Sloan}, Numer. Math. 54, No. 1, 41--56 (1988; Zbl 0668.65111) Full Text: DOI EuDML
Hsiao, George C.; Prössdorf, Siegfried On the stability of the spline collocation method for a class of integral equations of the first kind. (English) Zbl 0666.65094 Appl. Anal. 30, No. 4, 249-261 (1988). Reviewer: F.Natterer MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{G. C. Hsiao} and \textit{S. Prössdorf}, Appl. Anal. 30, No. 4, 249--261 (1988; Zbl 0666.65094) Full Text: DOI
Wendland, W. L.; Yu, Dehao Adaptive boundary element methods for strongly elliptic integral equations. (English) Zbl 0657.65138 Numer. Math. 53, No. 5, 539-558 (1988). Reviewer: N.Parhi MSC: 65R20 65N35 45E10 PDFBibTeX XMLCite \textit{W. L. Wendland} and \textit{D. Yu}, Numer. Math. 53, No. 5, 539--558 (1988; Zbl 0657.65138) Full Text: DOI EuDML
Ruotsalainen, K.; Wendland, W. On the boundary element method for some nonlinear boundary value problems. (English) Zbl 0651.65081 Numer. Math. 53, No. 3, 299-314 (1988). Reviewer: S.L.Svensson MSC: 65N35 65R20 35J65 35C15 45G05 PDFBibTeX XMLCite \textit{K. Ruotsalainen} and \textit{W. Wendland}, Numer. Math. 53, No. 3, 299--314 (1988; Zbl 0651.65081) Full Text: DOI EuDML
Rannacher, Rolf; Wendland, Wolfgang L. Pointwise convergence of some boundary element methods. II. (English) Zbl 0648.65092 RAIRO, Modélisation Math. Anal. Numér. 22, No. 2, 343-362 (1988). Reviewer: N.F.F.Ebecken MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{R. Rannacher} and \textit{W. L. Wendland}, RAIRO, Modélisation Math. Anal. Numér. 22, No. 2, 343--362 (1988; Zbl 0648.65092) Full Text: DOI EuDML
Saranen, J. The convergence of even degree spline collocation solution for potential problems in smooth domains of the plane. (English) Zbl 0628.65107 Numer. Math. 53, No. 5, 499-512 (1988). MSC: 65N35 65R20 31A30 35J40 35C15 45E10 PDFBibTeX XMLCite \textit{J. Saranen}, Numer. Math. 53, No. 5, 499--512 (1988; Zbl 0628.65107) Full Text: DOI EuDML
Saranen, J. On the convergence of the spline collocation with discontinuous data. (English) Zbl 0633.65113 Math. Methods Appl. Sci. 9, 59-75 (1987). Reviewer: D.D.Stancu MSC: 65N35 65R20 31A30 35J40 35C15 45E10 PDFBibTeX XMLCite \textit{J. Saranen}, Math. Methods Appl. Sci. 9, 59--75 (1987; Zbl 0633.65113) Full Text: DOI
Křížek, Michal; Neittaanmäki, Pekka On superconvergence techniques. (English) Zbl 0624.65107 Acta Appl. Math. 9, 175-198 (1987). MSC: 65N30 65-02 65L60 65M60 65R20 35J05 35L20 35K20 34B05 PDFBibTeX XMLCite \textit{M. Křížek} and \textit{P. Neittaanmäki}, Acta Appl. Math. 9, 175--198 (1987; Zbl 0624.65107) Full Text: DOI
Prößdorf, Siegfried; Rathsfeld, A. On spline Galerkin methods for singular integral equations with piecewise continuous coefficients. (English) Zbl 0619.65142 Numer. Math. 48, 99-118 (1986). Reviewer: V.Fabrikant MSC: 65R20 45F15 PDFBibTeX XMLCite \textit{S. Prößdorf} and \textit{A. Rathsfeld}, Numer. Math. 48, 99--118 (1986; Zbl 0619.65142) Full Text: DOI EuDML