Accurate solution-adaptive finite difference schemes for coarse and fine grids
Research output: Contribution to journal › Article
We introduce solution dependent finite difference stencils whose coefficients adapt to the current numerical solution by minimizing the truncation error in the least squares sense. The resulting scheme has the resolution capacity of dispersion relation preserving difference stencils in under-resolved domains, together with the high order convergence rate of conventional central difference methods in well resolved regions. Numerical experiments reveal that the new stencils outperform their conventional counterparts on all grid resolutions from very coarse to very fine.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Journal of Computational Physics|
|Publication status||Published - 2020 Jun|