A Note on Constant-Free A Posteriori Error Estimates Export

@article{citeulike:5978788, abstract = {In this note we look at constant-free a posteriori error estimates from a different perspective. We show that they can be interpreted as an alternative way of expressing the residual of a finite element approximation and thus fit into the same framework as other a posteriori error estimates such as residual error indicators. Our approach also reveals that, when applied to singularly perturbed reaction-diffusion or convection-diffusion problems, constant-free a posteriori error estimates will not be fully robust unless extra measures are taken.}, author = {Verf\"{u}rth, R.}, citeulike-article-id = {5978788}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000047000004003180000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aip.org/link/?SNA/47/3180}, journal = {SIAM Journal on Numerical Analysis}, keywords = {error\_analysis}, number = {4}, pages = {3180--3194}, posted-at = {2009-10-21 07:23:51}, priority = {2}, publisher = {SIAM}, title = {A Note on Constant-Free A Posteriori Error Estimates}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000047000004003180000001&idtype=cvips&gifs=yes}, volume = {47}, year = {2009} }

TY - JOUR ID - citeulike:5978788 L3 - citeulike-article-id:5978788 N2 - In this note we look at constant-free a posteriori error estimates from a different perspective. We show that they can be interpreted as an alternative way of expressing the residual of a finite element approximation and thus fit into the same framework as other a posteriori error estimates such as residual error indicators. Our approach also reveals that, when applied to singularly perturbed reaction-diffusion or convection-diffusion problems, constant-free a posteriori error estimates will not be fully robust unless extra measures are taken. IS - 4 JF - SIAM Journal on Numerical Analysis EP - 3194 TI - A Note on Constant-Free A Posteriori Error Estimates PB - SIAM VL - 47 SP - 3180 KW - error_analysis AU - Verfürth, R PY - 2009/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000047000004003180000001&idtype=cvips&gifs=yes ER -