Where Jacobi Dies on a Boundary-Layer Mesh — the Linelet Line-Implicit Preconditioner
·7 min read
Why squashing cells toward the wall stalls point smoothers, and the fix
Solving Without Inverting the Matrix — GMRES and the Arnoldi Subspace
·6 min read
Building GMRES from scratch to solve sparse linear systems via Krylov and Arnoldi
What Jacobi Cannot Kill in 10,000 Sweeps, a V-Cycle Kills in 10 — The Real Secret of Multigrid
·6 min read
Swap the grid, swap the frequency: how a hierarchy converts stubborn low modes into easy ones
Choosing a CFD Linear Solver: Comparing Convergence Speeds from Jacobi to BiCGSTAB
·5 min read
Comparing the characteristics and convergence speeds of the four major Krylov subspace solvers with code and simulation.