# High-order curvilinear mesh in the numerical solution of PDEs with moving frames on the sphere

@article{Chun2019HighorderCM, title={High-order curvilinear mesh in the numerical solution of PDEs with moving frames on the sphere}, author={Sehun Chun and Julian Marcon and Joaquim Peir{\'o} and Spencer J. Sherwin}, journal={ArXiv}, year={2019}, volume={abs/1908.09917} }

When time-dependent partial differential equations (PDEs) are solved numerically in a domain with curved boundary or on a curved surface, mesh error and geometric approximation error caused by the inaccurate location of vertices and other interior grid points, respectively, could be the main source of the inaccuracy and instability of the numerical solutions of PDEs. The role of these geometric errors in deteriorating the stability and particularly the conservation properties are largely… CONTINUE READING

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