A new multigrid formulation for high order finite difference methods on summation-by-parts form

作者：Ruggiu Andrea A^*; Weinerfelt Per; Nordstrom Jan

来源：Journal of Computational Physics, 2018, 359: 216-238.

DOI：10.1016/j.jcp.2018.01.011

• High order finite difference methods
• Summation-by-parts
• Multigrid
• Restriction and prolongation operators
• Convergence acceleration

Multigrid schemes for high order finite difference methods on summation-by-parts form are studied by comparing the effect of different interpolation operators. By using the standard linear prolongation and restriction operators, the Galerkin condition leads to inaccurate coarse grid discretizations. In this paper, an alternative class of interpolation operators that bypass this issue and preserve the summation-by-parts property on each grid level is considered. Clear improvements of the convergence rate for relevant model problems are achieved.

• 出版日期2018-4-15