Abstract
Using the flexibility of the finite element method to solve the solution problems on different shaped and natured elements, the local discontinuous Galerkin method can handle very complex boundary problems. Using the local discontinuous Galerkin method to perform a priori error estimation for the Steklov eigenvalue problem, we obtain a reasonable error estimation subspace, which can effectively solve the validity and reliability of the eigenfunction indicator subspace and the reliability of the eigenvalue error estimation indicator. We use precise numerical data obtained from MATLAB experiments as the basis for judging whether the conclusion is reasonable. Finally, combining theoretical analysis, we show that the method achieves optimal convergence order.
Published Version
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