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Consistent Approximations of Some Geometric Differential Operators and Their Convergences
Geometric Di erential Operators Consistent discretized approximations TriangularKey words:Surface Mesh Error Analysis
2012/8/8
The numerical integration of many geometric partial di erential equations involves
discrete approximations of several first- and second-order geometric di erential operators.
In this paper, we consi...
Several Pairs of Differential Operators and Their Applications in Variational Calculusof a General Third Order Energy
Di甧rential operator Euler-Lagrange equation Complete-variation Geo-metric energy functional Curvature
2012/8/8
Gradient, divergence and Laplace-Beltrami operators over surfaces have played im-
portant roles in many 痚lds related to geometry and analysis, such as di甧rential ge-
ometry, computational geometry a...
Consistent Approximations of Some Geometric Differential Operators
Geometric Di甧rential Operators Consistent discretized approxima-tions Triangular Surface Mesh Error Analysis.
2012/8/8
The numerical integration of many geometric partial di甧rential equations in-
volve discrete approximations of some di甧rential geometric operators. In this
paper, we consider consistent discretized a...