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On nondegenerate triangulation and its refinement near domain boundary

E. P. Arsentyeva

St. Petersburg State University, Department of Mathematics and Mechanics

Abstract: Some method of refinement triangulation near domain boundary with retaining property of nondegeneracy are considered. Detailed algorithm of refinement triangulation near smooth domain boundary is presented. The Theorem about possibility infinite refinement triangulation near domain boundary with retaining property of nondegeneracy is formulated. Basic ideas of proof at straight-line boundary case, curvilinear boundary case are produced.

Keywords: triangulation, nondegeneracy, refinement, curvilinear boundary, straight-line boundary, domain.

UDC: 519.6


Accepted: October 14, 2010