Optimization of Approximate Maps for Linear Systems Arising in
Discretized PDEs
Optimization of Approximate Maps for Linear Systems Arising in
Discretized PDEs
Generally, discretization of partial differential equations (PDEs) creates a sequence of linear systems $A_k x_k = b_k, k = 0, 1, 2, ..., N$ with well-known and structured sparsity patterns. Preconditioners are often necessary to achieve fast convergence When solving these linear systems using iterative solvers. We can use preconditioner …