A Numerical Method for SolvingTwo-Dimensional Nonlinear Parabolic ProblemsBased on a Preconditioning Operator

DOI10.3846/mma.2020.4310OpenAlexW3150801173MaRDI QIDQ5016263

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Publication date: 13 December 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/mma.2020.4310

zbMATH Keywords

Sobolev space gradient methodnonlinear parabolic problemspreconditioning operatorWEB-spline finite element method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Numerical analysis (65-XX)

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Cites Work

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• Preconditioning operators and Sobolev gradients for nonlinear elliptic problems
• Equivalent operator preconditioning for elliptic problems with nonhomogeneous mixed boundary conditions
• Gradient WEB-spline finite element method for solving two-dimensional quasilinear elliptic problems
• Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling
• Nonuniform web-splines
• Weighted extended B-spline method for the approximation of the stationary Stokes problem
• Weighted Extended B-Spline Approximation of Dirichlet Problems
• Finite Element Methods with B-Splines
• Sobolev space preconditioning for Newton's method using domain decomposition
• Double Sobolev gradient preconditioning for nonlinear elliptic problems
• The gradient-finite element method for elliptic problems

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