Methods of Approximation and Algorithms

Two topics will be covered in this Chapter: * numerical approximation of the solution of nonlinear phase-field transition system; * numerical approximation of boundary optimal control, governed by phase-field transition system. For both subjects we consider the phase-field system with non-homogeneou...

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Published inAnalysis and Optimal Control of Phase-Field Transition System: Fractional Steps Methods Vol. 1; no. 1; pp. 185 - 246
Main Author MOROSANU, Costica
Format Book Chapter
LanguageEnglish
Published 01.04.2012
Subjects
free boundary problems for PDE
analysis of algorithms
fractional steps method (Lie-Trotter product formula)
finite difference methods
methods of gradient type
optimal control
phase changes
stability of numerical methods
finite element method
computer science
Nonlinear parabolic systems
inverse problems
numerical analysis
mathematical modeling
applications in engineering and industry
methods of approximations based on necessary conditions
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DOI10.2174/978160805350611201010185

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Summary:Two topics will be covered in this Chapter: * numerical approximation of the solution of nonlinear phase-field transition system; * numerical approximation of boundary optimal control, governed by phase-field transition system. For both subjects we consider the phase-field system with non-homogeneous Cauchy-Neumann boundary conditions:...
DOI:10.2174/978160805350611201010185