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Volume 11, Issue 1
An Optimal Uniform a Priori Error Estimate for an Unsteady Singularly Perturbed Problem

M. Vlasak & H.-G. Roos

Int. J. Numer. Anal. Mod., 11 (2014), pp. 24-33.

Published online: 2014-11

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  • Abstract

A time-dependent convection-diffusion problem is discretized by the Galerkin finite element method in space with bilinear elements on a general layer adapted mesh and in time by discontinuous Galerkin method. We present optimal error estimates. The estimates hold true for consistent stabilization too.

  • Keywords

discontinuous Galerkin, convection-diffusion, layer adapted mesh, error estimate.

  • AMS Subject Headings

65M15, 65N30, 65M50

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-11-24, author = {Vlasak , M. and Roos , H.-G.}, title = {An Optimal Uniform a Priori Error Estimate for an Unsteady Singularly Perturbed Problem}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2014}, volume = {11}, number = {1}, pages = {24--33}, abstract = {

A time-dependent convection-diffusion problem is discretized by the Galerkin finite element method in space with bilinear elements on a general layer adapted mesh and in time by discontinuous Galerkin method. We present optimal error estimates. The estimates hold true for consistent stabilization too.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/512.html} }
TY - JOUR T1 - An Optimal Uniform a Priori Error Estimate for an Unsteady Singularly Perturbed Problem AU - Vlasak , M. AU - Roos , H.-G. JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 24 EP - 33 PY - 2014 DA - 2014/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/512.html KW - discontinuous Galerkin, convection-diffusion, layer adapted mesh, error estimate. AB -

A time-dependent convection-diffusion problem is discretized by the Galerkin finite element method in space with bilinear elements on a general layer adapted mesh and in time by discontinuous Galerkin method. We present optimal error estimates. The estimates hold true for consistent stabilization too.

Vlasak , M. and Roos , H.-G.. (2014). An Optimal Uniform a Priori Error Estimate for an Unsteady Singularly Perturbed Problem. International Journal of Numerical Analysis and Modeling. 11 (1). 24-33. doi:
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