An explicit FEM with quadratic interpolation in time is claimed to be stable and O(σ²+h³) accurate for a 3D sine-Gordon elastodynamic system, but the scheme as written uses a bilinear form inconsistent with the PDE.
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An explicit computational approach for a three-dimensional system of nonlinear elastodynamic sine-Gordon problem
An explicit FEM with quadratic interpolation in time is claimed to be stable and O(σ²+h³) accurate for a 3D sine-Gordon elastodynamic system, but the scheme as written uses a bilinear form inconsistent with the PDE.