Coupled poromechanical problems appear in a variety of disciplines, from reservoir
engineering to biomedical applications. This work focuses on efficient strategies for solving …

Many applications involving porous media–notably reservoir engineering and geologic
applications–involve tight coupling between multiphase fluid flow, transport, and …

Preconditioned Krylov subspace (KSP) methods are widely used for solving large‐scale
sparse linear systems arising from numerical solutions of partial differential equations …

Modeling of the heart ventricles is one of the most challenging tasks in soft tissue mechanics
because cardiac tissue is a strongly anisotropic incompressible material with an active …

Finite element analysis of solid mechanics is a foundational tool of modern engineering, with
low-order finite element methods and assembled sparse matrices representing the industry …

Traditionally, fractured reservoir simulations use Dual-Porosity, Dual-Permeability (DPDK)
models that can idealize fractures and misrepresent connectivity. The Embedded Discrete …

This article has two main objectives: one is to describe some extensions of an adaptive
Algebraic Multigrid (AMG) method of the form previously proposed by the first and third …

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 …

This paper provides a unified and detailed presentation of root-node--style algebraic
multigrid (AMG). AMG is a popular and effective iterative method for solving large, sparse …

The numerical simulation of structural mechanics applications via finite elements usually
requires the solution of large-size linear systems, especially when accurate results are …