Linear solvers for reservoir simulation applications are the objective of this review.
Specifically, we focus on techniques for Fully Implicit (FI) solution methods, in which the set …

We introduce a new algorithm and software for solving linear equations in symmetric
diagonally dominant matrices with non-positive off-diagonal entries (SDDM matrices) …

Algebraic multigrid (AMG) is often an effective solver for symmetric positive definite (SPD)
linear systems resulting from the discretization of general elliptic PDEs or the spatial …

The numerical simulation of modern engineering problems can easily incorporate millions or
even billions of unknowns. In several applications, sparse linear systems with symmetric …

Algebraic multigrid (AMG) methods are particularly efficient to solve a wide range of sparse
linear systems, due to their good flexibility and adaptability. Even though modern parallel …

Multigrid is one of the most efficient methods for solving large-scale linear systems that arise
from discretized partial differential equations. As a foundation for multigrid analysis, two-grid …

Sažetak In this thesis a comparison of pressure–velocity coupling algorithms is conducted
with special emphasis on the implicit coupling of momentum and pressure equations in a …

We present a family of preconditioning strategies for the contact problem in fractured and
faulted porous media. We combine low-order continuous finite elements to simulate the bulk …

Getting standard multigrid to work efficiently for the high-frequency Helmholtz equation has
been an open problem in applied mathematics for years. Much effort has been dedicated to …

The numerical simulation of physical systems has become in recent years a fundamental
tool to perform analyses and predictions in several application fields, spanning from industry …