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Journal of Scientific Computing

Erschienen in:

01.11.2015

An \(h\)–\(p\) Version of the Continuous Petrov–Galerkin Finite Element Method for Nonlinear Volterra Integro-Differential Equations

verfasst von: Lijun Yi

Erschienen in: Journal of Scientific Computing | Ausgabe 2/2015

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Abstract

We present an \(h\)–\(p\) version of the continuous Petrov–Galerkin finite element method for nonlinear Volterra integro-differential equations. We derive a priori error bounds in the \(L^2\)- and \(H^1\)-norm that are explicit in the time steps, the approximation orders, and the regularity of the exact solution. Numerical experiments are provided to illustrate the theoretical results.

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Titel: An – Version of the Continuous Petrov–Galerkin Finite Element Method for Nonlinear Volterra Integro-Differential Equations
verfasst von: Lijun Yi
Publikationsdatum: 01.11.2015
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 2/2015
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-015-9983-9

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