%0 Journal Article %1 chen1985lumped %A Chen, C. M. %A Thomée, V. %D 1985 %I Cambridge University Press %J The Journal of the Australian Mathematical Society. Series B. Applied Mathematics %K 35k05-heat-equation 65m15-pdes-ivps-error-bounds 65m60-pdes-ibvps-finite-elements %N 3 %P 329-354 %R 10.1017/S0334270000004549 %T The lumped mass finite element method for a parabolic problem %U https://www.cambridge.org/core/article/lumped-mass-finite-element-method-for-a-parabolic-problem/0D2F96A1EC3713DECBBB9A55F54BF666 %V 26 %X For the heat equation in two space dimensions we consider semidiscrete and totally discrete variants of the lumped mass modification of the standard Galerkin method, using piecewise linear approximating functions, and demonstrate error estimates of optimal order in L2 and of almost optimal order in L∞.

@article{chen1985lumped, abstract = {For the heat equation in two space dimensions we consider semidiscrete and totally discrete variants of the lumped mass modification of the standard Galerkin method, using piecewise linear approximating functions, and demonstrate error estimates of optimal order in L2 and of almost optimal order in L∞.}, added-at = {2021-07-12T00:51:16.000+0200}, author = {Chen, C. M. and Thomée, V.}, biburl = {https://www.bibsonomy.org/bibtex/21cccc8a4c8ae3f52606d8692be2cd013/gdmcbain}, doi = {10.1017/S0334270000004549}, interhash = {267a2e35bdbf87182870d215daf1984e}, intrahash = {1cccc8a4c8ae3f52606d8692be2cd013}, issn = {03342700}, journal = {The Journal of the Australian Mathematical Society. Series B. Applied Mathematics}, keywords = {35k05-heat-equation 65m15-pdes-ivps-error-bounds 65m60-pdes-ibvps-finite-elements}, number = 3, pages = {329-354}, publisher = {Cambridge University Press}, timestamp = {2021-07-12T00:55:09.000+0200}, title = {The lumped mass finite element method for a parabolic problem}, url = {https://www.cambridge.org/core/article/lumped-mass-finite-element-method-for-a-parabolic-problem/0D2F96A1EC3713DECBBB9A55F54BF666}, volume = 26, year = 1985 }