Abstract
The CBEM (cell boundary element method) was proposed as a numerical method for second-order elliptic problems by the first author in the earlier paper [10]. In this paper we prove a quasi-optimal order of convergence of the method, O(h1−ɛ) for ɛ>0 in H1-norm for the triangular mesh; also a stability result is obtained. We provide numerical examples and it is observed that the method conserves flux exactly when a certain condition on meshes is satisfied.
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This work was supported by KOSEF 2000-1-10300-001-5.
AMS subject classification
65N30, 65N38, 65N50
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Jeon, Y., Sheen, D. Analysis of a cell boundary element method. Adv Comput Math 22, 201–222 (2005). https://doi.org/10.1007/s10444-003-7671-z
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DOI: https://doi.org/10.1007/s10444-003-7671-z