Block-centered finite difference methods for parabolic equation with time-dependent coefficient
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Publication:2452283
DOI10.1007/S13160-013-0114-4zbMath1301.65095OpenAlexW2044228904MaRDI QIDQ2452283
Publication date: 2 June 2014
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13160-013-0114-4
convergence analysisnumerical experimentsparabolic equationvariable meshtime-dependent diffusion coefficientblock-centered finite differencebackward Euler and Crank-Nicolson scheme
Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
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- Two families of mixed finite elements for second order elliptic problems
- On Convergence of Block-Centered Finite Differences for Elliptic Problems
- Explicit/Implicit, Conservative Domain Decomposition Procedures for Parabolic Problems Based on Block-Centered Finite Differences
- Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
- Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry
- A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
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