A numerical method for solving variable coefficient elliptic equation with interfaces
Journal of Computational Physics
Piecewise-polynomial discretization and Krylov-accelerated multigrid for elliptic interface problems
Journal of Computational Physics
Low viscosity flow simulations for animation
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Numerical method for solving matrix coefficient elliptic equation with sharp-edged interfaces
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A weak formulation for solving elliptic interface problems without body fitted grid
Journal of Computational Physics
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We propose a geometric multigrid method for solving linear systems arising from irregular boundary problems involving multiple interfaces in two and three dimensions. In this method, we adopt a matrix-free approach; i.e., we do not form the fine grid matrix explicitly and we never form nor store the coarse grid matrices, as many other robust multigrid methods do. The main idea is to construct an accurate interpolation which captures the correct boundary conditions at the interfaces via a level set function. Numerical results are given to compare our multigrid method with black box and algebraic multigrid methods.