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A kernel-free boundary integral method for elliptic interface problems on surfaces
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DOI：10.1016/j.jcp.2026.115004.png)
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Abstract
En 中文
• The paper introduces a potential theory-based method for elliptic boundary value and interface problems on curved surfaces. • Potential functions are interpreted as solutions to simpler interface problems, solved with a finite difference method. • Correction terms are derived by solving local problems and are added to the finite difference scheme near the interface to retain second-order convergence. • Fast algorithms, including GMRES and the geometric multigrid method, are employed to solve linear systems, achieving nearly optimal computational complexity.
Keywords:
potential theory
elliptic interface problems
finite difference method
surface geometry
fast algorithms
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3.8
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1.5W
Citations:
7.4W
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