A moving mesh framework based on three parametrization layers for 1d PDEs

Schiessl S, Marheineke N, Wegener R (2016)

Publication Type: Book chapter / Article in edited volumes

Publication year: 2016

Publisher: Springer

Edited Volumes: Progress in Industrial Mathematics at ECMI 2014

Abstract

Solutions of partial differential equations (PDEs) arising in science and industrial applications often undergo large variations occurring over small parts of the domain. Resolving steep gradients and oscillations properly is a numerical chal- lenge. The idea of the r-refinement (moving mesh) is to improve the approximation quality – while keeping the computational effort – by redistributing a fixed number of grid points in areas of the domain where they are needed. In this work we develop a general moving mesh framework for 1d PDEs that is based on three parameteriza- tion layers representing referential, computational and desired parameters. Numeri- cal results are shown for two different strategies that are applied to a fiber spinning process.

Authors with CRIS profile

Nicole Marheineke Professur für Wissenschaftliches Rechnen

Involved external institutions

Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM) / Fraunhofer Institute for Industrial Mathematics DE Germany (DE)

How to cite

APA:

Schiessl, S., Marheineke, N., & Wegener, R. (2016). A moving mesh framework based on three parametrization layers for 1d PDEs. In Progress in Industrial Mathematics at ECMI 2014. Springer.

MLA:

Schiessl, Stefan, Nicole Marheineke, and Raimund Wegener. "A moving mesh framework based on three parametrization layers for 1d PDEs." Progress in Industrial Mathematics at ECMI 2014. Springer, 2016.

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