| Abstract: |
| In this talk, I will present a new p-multigrid method for solving second-order elliptic equations on structured meshes. Using Gauss-Seidel iterations for both pre- and post-smoothings, we prove the uniform convergence of W-cycle multigrid method with respect to both the mesh size h and the degree of polynomials p, provided that the number of smoothing steps is comparable to the degree of polynomials on each level. The p-multigrid method is robust to high-order polynomials and discontinuous coefficients with large jumps. |
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