Piecewise constant time discontinuous Galerkin method and error estimate

Piecewise constant time discontinuous Galerkin method and error estimate

This paper proposes a piecewise constant time discontinuous Galerkin method to solve the initial-boundary value problem for the heat equation. The finite element is formulated in terms of continuous approximation functions in space directions and piecewise constant approximation functions in time di...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Junjiang Lai, Xuehai Huang
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Approximation methods
discontinuous Galerkin method
Electronic mail
Equations
Error analysis
Finite element methods
heat equation
Heating
Moment methods
piecewise constant
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Beschreibung
Zusammenfassung:This paper proposes a piecewise constant time discontinuous Galerkin method to solve the initial-boundary value problem for the heat equation. The finite element is formulated in terms of continuous approximation functions in space directions and piecewise constant approximation functions in time direction. The error analysis for this method in L, norm is established, and some numerical examples are included to validate the theoretical analysis.
DOI:10.1109/ICMT.2011.6002459