Adaptive Iterative Splitting Methods for Convection-Diffusion-Reaction Equations

Autor: José L. Hueso, Jürgen Geiser, Eulalia Martínez
Jazyk: angličtina
Rok vydání: 2020
Předmět:
ComputerSystemsOrganization_COMPUTERSYSTEMIMPLEMENTATION
Computer science
Quantitative Biology::Tissues and Organs
General Mathematics
Multiphysics
operator-splitting method
010103 numerical & computational mathematics
Error control
01 natural sciences
error control
Time adaptive integration
Acceleration
time adaptive integration
iterative solver method
Computer Science (miscellaneous)
Applied mathematics
0101 mathematics
Diffusion (business)
Engineering (miscellaneous)
adaptive iterative splitting
Numerical analysis
lcsh:Mathematics
Iterative solver method
Adaptive iterative splitting
Nonlinear equations
Operator-splitting method
lcsh:QA1-939
Convection-diffusion-reaction equations
ComputingMilieux_GENERAL
010101 applied mathematics
Nonlinear system
convection–diffusion–reaction equations
Computer Science::Mathematical Software
nonlinear equations
Convection–diffusion equation
Error detection and correction
MATEMATICA APLICADA
Zdroj: Mathematics, Vol 8, Iss 3, p 302 (2020)
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
Mathematics
Volume 8
Issue 3
ISSN: 2227-7390
Popis: This article proposes adaptive iterative splitting methods to solve Multiphysics problems, which are related to convection&ndash
diffusion&ndash
reaction equations. The splitting techniques are based on iterative splitting approaches with adaptive ideas. Based on shifting the time-steps with additional adaptive time-ranges, we could embedded the adaptive techniques into the splitting approach. The numerical analysis of the adapted iterative splitting schemes is considered and we develop the underlying error estimates for the application of the adaptive schemes. The performance of the method with respect to the accuracy and the acceleration is evaluated in different numerical experiments. We test the benefits of the adaptive splitting approach on highly nonlinear Burgers&rsquo
and Maxwell&ndash
Stefan diffusion equations.
Databáze: OpenAIRE
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