Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

Error analysis of a boundary element collocation method for a screen problem in $ {\bf R}\sp 3$


Authors: M. Costabel, F. Penzel and R. Schneider
Journal: Math. Comp. 58 (1992), 575-586
MSC: Primary 65N38; Secondary 65R20
MathSciNet review: 1122060
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We examine the numerical approximation of the first-kind integral equation on a plane rectangle defined by the single-layer potential of the three-dimensional Laplacian. The solution is approximated by nodal collocation with piecewise bilinear trial functions on a rectangular grid. We prove stability and convergence of this method in the Sobolev space $ {\tilde H^{ - 1/2}}$. A key ingredient in the proof is the observation that the collocation equations define symmetric positive definite Toeplitz matrices.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65N38, 65R20

Retrieve articles in all journals with MSC: 65N38, 65R20


Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1992-1122060-9
PII: S 0025-5718(1992)1122060-9
Article copyright: © Copyright 1992 American Mathematical Society