Article ID Journal Published Year Pages File Type
6892360 Computers & Mathematics with Applications 2017 23 Pages PDF
Abstract
We prove a posteriori upper and lower bounds for the error estimates when solving the Laplace-Beltrami equation on the unit sphere by using the Galerkin method with spherical splines. Adaptive mesh refinements based on these a posteriori error estimates are used to reduce complexity and computational cost of the corresponding discrete problems. The theoretical results are corroborated by numerical experiments.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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