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11/16/2022
Numerical accuracy and stability of semilinear Klein–Gordon equation in de Sitter spacetime
Numerical simulations of the semilinear Klein–Gordon equation in the de ...
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03/17/2022
Numerical simulations of semi-linear Klein-Gordon equations in the de Sitter spacetime with structure preserving scheme
We perform some simulations of the Klein-Gordon equation in the de Sitte...
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06/07/2021
General theory of interpolation error estimates on anisotropic meshes, part II
We present a general theory of interpolation error estimates for smooth ...
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03/15/2021
Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption, Part 2: Lagrange interpolation on tetrahedrons
This is the second lecture note on the error analysis of interpolation o...
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02/09/2021
A new geometric condition equivalent to the maximum angle condition for tetrahedrons
For a tetrahedron, suppose that all internal angles of faces and all dih...
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10/19/2020
A robust discontinuous Galerkin scheme on anisotropic meshes
Discontinuous Galerkin (DG) methods are extensions of the usual Galerkin...
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05/31/2020
Crouzeix-Raviart and Raviart-Thomas finite-element error analysis on anisotropic meshes violating the maximum-angle condition
We investigate the piecewise linear nonconforming Crouzeix-Raviar and th...
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02/22/2020
General theory of interpolation error estimates on anisotropic meshes
We propose a general theory of estimating interpolation error for smooth...
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08/11/2019