Zobrazeno 1 - 10
of 91
pro vyhledávání: '"J. Saranen"'
Autor:
J. Saranen, G. Vainkko
Publikováno v:
SIAM Journal on Numerical Analysis. 33:1577-1596
Considering boundary integral equations on smooth closed curves the product integration methods have turned out to be very efficient to define fully discrete schemes with a high convergence rate. Here we give a general approach to product integration
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6daedfbadeb85400d43e5656bacbc21
https://doi.org/10.1137/s0036142994266273
https://doi.org/10.1137/s0036142994266273
Autor:
G. Vainikko, J. Saranen
Publikováno v:
Mathematische Nachrichten. 177:265-279
We propose two-grid iteration methods for Symm's integral equation discretized by quadrature-collocation or quadrature methods. Asymptotically the optimal order of error estimate is achieved already on the first iteration, for some modifications on t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7aa4ffd7169b5003eb30de787ac589cb
https://doi.org/10.1002/mana.19961770115
https://doi.org/10.1002/mana.19961770115
Autor:
L. Schroderus, J. Saranen
Publikováno v:
SIAM Journal on Numerical Analysis. 32:1535-1564
In this paper discrete trigonometric methods as well as quadrature methods for solution of boundary integral equations on smooth closed curves are presented and analyzed. The analysis applies the general approach based on the consistency, stability,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3508b52a8d71f18876dae5c6b7604497
https://doi.org/10.1137/0732070
https://doi.org/10.1137/0732070
Autor:
Siegfried Prössdorf, J. Saranen
Publikováno v:
Zeitschrift für Analysis und ihre Anwendungen. 13:683-695
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f4719877d4a2938d735af6a4ad12cac
https://doi.org/10.4171/zaa/483
https://doi.org/10.4171/zaa/483
Autor:
J. Saranen, L. Schroderus
Publikováno v:
SIAM Journal on Numerical Analysis. 30:1769-1795
In this article the authors introduce and analyze a family of simple quadrature methods for strongly elliptic equations of negative order. The results cover all the classical pseudodifferential equations of this kind, and hence the boundary integral
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8cfa3828149942c5f1b3017568b2cffa
https://doi.org/10.1137/0730090
https://doi.org/10.1137/0730090
Publikováno v:
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics. 34:401-418
Here we discuss the stability and convergence of a quadrature method for Symm's integral equation on an open smooth arc. The method is an adaptation of an approach considered by Sloan and Burn for closed curves. Before applying the quadrature scheme,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca13ff35be42ac9ef36cc91b0b71ea52
https://doi.org/10.1017/s0334270000009000
https://doi.org/10.1017/s0334270000009000
Autor:
Wolfgang L. Wendland, J. Saranen
Publikováno v:
Applicable Analysis. 48:37-50
Considering the Galerkin boundary element methods and mesh families with bounded local mesh ratio we derive local error estimates such that the local error is bounded by a local residual together with some global terms which can be expected to be sma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7381234b0f158a398232c970b1a477d4
https://doi.org/10.1080/00036819308840148
https://doi.org/10.1080/00036819308840148
Autor:
J. Saranen, George C. Hsiao
Publikováno v:
Mathematical Methods in the Applied Sciences. 16:87-114
Here we consider initial boundary value problems for the heat equation by using the heat potential representation for the solution. Depending on the choice of the representation we are led to a solution of the various boundary integral equations. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::168e91b69a9e14064989ecb5cf1be545
https://doi.org/10.1002/mma.1670160203
https://doi.org/10.1002/mma.1670160203
Autor:
Ian H. Sloan, J. Saranen
Publikováno v:
IMA Journal of Numerical Analysis. 12:167-187
The recently proposed method of Sloan and Burn for the logarithmic-kernel first-kind integral equation on closed curves is modified, so as to permit high-order convergence in appropriate negative norm even when the solution is not smooth. In addition
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec323228e9ef7a9c15e4ce2befec815c
https://doi.org/10.1093/imanum/12.2.167
https://doi.org/10.1093/imanum/12.2.167
Autor:
J. Saranen, Paul P. B. Eggermont
Publikováno v:
Numerische Mathematik. 58:465-478
Recently, Galerkin and collocation methods have been analyzed for boundary integral equation formulations of some potential problems in the plane with nonlinear boundary conditions, and stability results and error estimates in theH 1/2-norm have been
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f421dee6249378ca8e9ca4aecb162506
https://doi.org/10.1007/bf01385636
https://doi.org/10.1007/bf01385636