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Parallel finite volume computation on general meshes. (English) Zbl 1437.65003
Cham: Springer (ISBN 978-3-030-47231-3/hbk; 978-3-030-47232-0/ebook). xv, 186 p. (2020).
Publisher’s description: This book presents a systematic methodology for the development of parallel multi-physics models and its implementation in geophysical and biomedical applications. The methodology includes conservative discretization methods for partial differential equations on general meshes, as well as data structures and algorithms for organizing parallel simulations on general meshes. The structures and algorithms form the core of the INMOST (Integrated Numerical Modelling Object-oriented Supercomputing Technologies) platform for the development of parallel models on general meshes.
The authors consider applications for addressing specific geophysical and biomedical challenges, including radioactive contaminant propagation with subsurface waters, reservoir simulation, and clot formation in blood flows.
The book gathers all the components of this methodology, from algorithms and numerical methods to the open-source software, as well as examples of practical applications, in a single source, making it a valuable asset for applied mathematicians, computer scientists, and engineers alike.

MSC:
65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis
65M08 Finite volume methods for initial value and initial-boundary value problems involving PDEs
65N08 Finite volume methods for boundary value problems involving PDEs
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
65Y05 Parallel numerical computation
65Z05 Applications to the sciences
86-08 Computational methods for problems pertaining to geophysics
92-08 Computational methods for problems pertaining to biology
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