Numerical Methods for Elliptic and Parabolic Partial Differential Equations

Numerical Methods for Elliptic and Parabolic Partial Differential Equations

With contributions by Andreas Rupp

Angermann, Lutz; Knabner, Peter

Springer Nature Switzerland AG

11/2021

802

Dura

Inglês

9783030793845

15 a 20 dias

1547

Descrição não disponível.
For Example: Modelling Processes in Porous Media with Differential Equations.- For the Beginning: The Finite Difference Method for the Poisson Equation.- The Finite Element Method for the Poisson Equation.- The Finite Element Method for Linear Elliptic Boundary Value Problems of Second Order.- Grid Generation and A Posteriori Error Estimation.- Iterative Methods for Systems of Linear Equations.- Beyond Coercivity, Consistency and Conformity.- Mixed and Nonconforming Discretization Methods.- The Finite Volume Method.- Discretization Methods for Parabolic Initial Boundary Value Problems.- Discretization Methods for Convection-Dominated Problems.- An Outlook to Nonlinear Partial Differential Equations.- Appendices.
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finite element method;finite volume method;finite difference method;mixed methods;nonconforming methods;elliptic boundary value problems;parabolic initial boundary value problems;diffusion-convection-reaction equation;discontinuous Galerkin method;iterative methods for sparse systems of linear equations;grid generation and adaptation