We are investigating geomechanical problems in the presence of fractures and faults. We suppose that the physical model consists of two parts: the solid component representing the crust porous material, and the fluid component that represents water and, eventually, oil and/or gas. The solid model is then augmented taking into […]
Yearly Archives: 2022
66 posts
by A. Quarteroni and F. Saleri “The authors present details about the MATLAB and Octave environments, with information about how the two products can be acquired. The readers will find a useful set of about 60 references to books and articles about numerical methods and algorithms. If you work on […]
by A. Quarteroni, F. Saleri and P. Gervasio Springer, 3rd ed., 2010, From the reviews of the second edition. “The authors present details about the MATLAB and Octave environments, with information about how the two products can be acquired. The readers will find a useful set of about 60 references […]
by A. Quarteroni, R. Sacco and F. Saleri Springer, 1st ed., 2000 “I found many of the examples to be quite interesting. I find no fault with any of the theoretical portions of the text. The authors are quite thorough in their discussion of the theory underlying each of the […]
by A. Quarteroni, R. Sacco and F. Saleri Springer, 2nd ed., 2007 This book provides the mathematical foundations of numerical methods and demonstrates their performance on examples, exercises and real-life applications. This is done using the MATLAB software environment, which allows an easy implementation and testing of the algorithms for […]
Modeling the perfusion characteristics of liver tissue may provide information useful in surgical treatment which require resection of the pathological tissue regions or for drug delivery. At the macro-scale the whole organ may be modeled as a porous medium with nonuniform, non isotropic permeability. At an intermediate scale, the tissue […]
Many types of cell have the ability to migrate orchestrating in a complex way the poli/depolimerization of the actin network and actively generating a pattern of forces in the surrounding environment. Mathematics can be of support to understand such a complex phenomenon in two ways. Force traction microscopy is the determination of the stress […]
Blood circulation in capillaries occurs in a complex hierarchical network of capillaries. At this spatial scale the vessels deliver nutrients to the living tissues; tumor vessels characterized by a tortuous geometry, leaky walls and small transmural pressure gap are particularly ineffective in delivering drug to the malignant cells. Numerical simulations at a single […]
The study of cooperative migration and the onset of patterns in developing living organisms is an extremely multidisciplinary field of research, that combines biological information with the mathematical theories of nonlinear dynamics and the physics and mechanics of non-equilibrium processes. Cooperative migration and self-organization in living aggregates is known to […]
Once an anatomical model is constructed in the form of an implicit surface a mesh must be generated to perform the numerical simulations. For this reason we also develop a tool to generate suitable grids for CFD simulations. This step is critical since the mesh can change the accuracy of the numerical […]