An Algorithm on Multivariate Interpolation for Cartesian Grid Complex Boundary Problems
Shuqiang Wang
TL;DR
This paper introduces a straightforward multivariate interpolation algorithm on Cartesian grids, demonstrating its effectiveness within the embedded boundary method for elliptic interface problems.
Contribution
It proposes a novel algorithm for multivariate interpolation stencil selection on Cartesian grids, enhancing boundary problem solutions.
Findings
Effective interpolation stencil selection algorithm
Successful application in elliptic interface problems
Improved accuracy in boundary handling
Abstract
We present a simple algorithm to select multivariate interpolation stencil with a Cartesian grid. We show its applicability by using this algorithm in the embedded boundary method for solving the elliptic interface problem.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Advanced Numerical Methods in Computational Mathematics · Computational Geometry and Mesh Generation