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AFEM for the Laplace-Beltrami Operator on Graphs: Design and Conditional Contraction Property
Laplace-Beltrami operator graphs adaptive fi nite element method
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2015/12/11
We present an adaptive finite element method (AFEM) of any polynomial degree for the
Laplace-Beltrami operator on C
1
graphs Γ in R
d
(d ≥ 2). We first derive residual-type a
posteri...
Derivation of the Laplace-Beltrami operator for the zonal polynomials of positive definite Hermitian matrix argument
Laplace-Beltrami operator linear structures
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2010/9/14
Some aspects of the complex linear structure theory, extending the real case due to Magnus (1988), are defined and studied. This theory provides complete proofs of conjectures given in literature arou...
Discrete Laplace-Beltrami Operator on Sphere and Optimal Spherical Triangulations
Laplace-Beltrami operator Convergence Spherical triangulation, Truncation error
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2012/7/31
In this paper we first modify a widely used discrete Laplace Beltrami operator proposed by Meyer et al over triangular surfaces, and then establish some convergence results for the modi痚d discrete Lap...