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Higher-Order FEM for a System of Nonlinear Parabolic PDE’s in 2D with A-Posteriori Error Estimates

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Martin Zítka

    (Academy of Sciences)

  • Karel Segeth

    (Academy of Sciences)

  • Pavel Šolín

    (Rice University)

Abstract

Summary Initial-boundary value problems for systems of nonlinear parabolic partial differential equations arise in many important practical applications in electromagnetics, chemistry, modelling of diffusion and heat transfer processes and other fields. We are concerned with their solution by means of the method of lines with higher-order finite element spatial discretization on unstructured triangular meshes. Obviously, development of realistic a-posteriori error estimates plays an essential role in the application of a strategy of this type.

Suggested Citation

  • Martin Zítka & Karel Segeth & Pavel Šolín, 2004. "Higher-Order FEM for a System of Nonlinear Parabolic PDE’s in 2D with A-Posteriori Error Estimates," Springer Books, in: Miloslav Feistauer & Vít Dolejší & Petr Knobloch & Karel Najzar (ed.), Numerical Mathematics and Advanced Applications, pages 854-863, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18775-9_84
    DOI: 10.1007/978-3-642-18775-9_84
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