Special Issue "Domain Decomposition Methods"
A special issue of Mathematical and Computational Applications (ISSN 2297-8747).
Deadline for manuscript submissions: closed (15 September 2021) | Viewed by 6160
Interests: applied mathematics; numerical analysis; scientific computing; high performance computing
Mathematical modelling in science and engineering problems relies heavily on partial differential equations. Accurate discretization of such PDEs is very often required, and this usually leads to potentially very large linear systems that must be solved in parallel. The computational resources (in terms of hardware) and computational time available can limit the high-fidelity of these simulations. With the advent of parallel computers and the availability of large computational clusters, algorithmic improvements are key in reducing the computational time and increasing the model complexity and accuracy. One of the success stories of parallel computing is linear solvers, but also hybrid solvers, like domain decomposition methods.
Contributions related to the development and analysis of the domain decomposition solvers with their different aspects (linear or non-linear, multilevel methods, scalability, HPC implementation, coupling of mathematical models, and computational challenges of large-scale problems) are welcome in this Special Issue.
Authors are also invited to submit any other relevant complementary materials, such as software or available links illustrating their research.
Prof. Dr. Victorita Dolean
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