Description

Book Synopsis

- Introduction. - Convection-Di usion-Reaction Problems and Maximum Principles.- Discrete Maximum Principles.- Partitions of the Domain.- Finite Element Methods.- Finite Element Methods for Diffusion Problems.- Finite Element Methods for Reaction-Diffusion Problems.- Linear Finite Element Methods for Convection-Diffusion-Reaction Problems.- Nonlinear Finite Element Methods for Convection-Diffusion-Reaction Problems: Discretizations Based on Modi ed Variational Forms.- Nonlinear Finite Element Methods for Convection-Diffusion-Reaction Problems: Algebraically Stabilized Methods.- Finite Difference Methods.- Finite Volume Methods.- A Numerical Study for a Problem with Different Regimes.- Outlook.

Monotone Discretizations for Elliptic Second Order Partial Differential Equations

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    A Hardback by Gabriel R. Barrenechea

    15 in stock


      View other formats and editions of Monotone Discretizations for Elliptic Second Order Partial Differential Equations by Gabriel R. Barrenechea

      Publisher: Springer
      Publication Date: 25/02/2025
      ISBN13: 9783031806834, 978-3031806834
      ISBN10:
      Also in:
      Mathematics Calculus and mathematical analysis

      Description

      Book Synopsis

      - Introduction. - Convection-Di usion-Reaction Problems and Maximum Principles.- Discrete Maximum Principles.- Partitions of the Domain.- Finite Element Methods.- Finite Element Methods for Diffusion Problems.- Finite Element Methods for Reaction-Diffusion Problems.- Linear Finite Element Methods for Convection-Diffusion-Reaction Problems.- Nonlinear Finite Element Methods for Convection-Diffusion-Reaction Problems: Discretizations Based on Modi ed Variational Forms.- Nonlinear Finite Element Methods for Convection-Diffusion-Reaction Problems: Algebraically Stabilized Methods.- Finite Difference Methods.- Finite Volume Methods.- A Numerical Study for a Problem with Different Regimes.- Outlook.

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