%0 Journal Article %1 hansbo1998approach %A Hansbo, Peter %D 1998 %J Computer Methods in Applied Mechanics and Engineering %K 65d32-quadrature-and-cubature-formulas 74s05-finite-element-methods-for-solid-mechanics %N 3 %P 301-309 %R 10.1016/S0045-7825(97)00257-0 %T A new approach to quadrature for finite elements incorporating hourglass control as a special case %U https://www.sciencedirect.com/science/article/pii/S0045782597002570 %V 158 %X The purpose of this paper is to suggest a simple alternative approach to Gaussian quadrature in the finite element method. We show that this quadrature rule may be used to derive ‘hourglass control’ stabilization matrices. We also show that the proposed quadrature scheme does not destroy the order of the bilinear finite element method.

@article{hansbo1998approach, abstract = {The purpose of this paper is to suggest a simple alternative approach to Gaussian quadrature in the finite element method. We show that this quadrature rule may be used to derive ‘hourglass control’ stabilization matrices. We also show that the proposed quadrature scheme does not destroy the order of the bilinear finite element method.}, added-at = {2021-11-24T23:03:03.000+0100}, author = {Hansbo, Peter}, biburl = {https://www.bibsonomy.org/bibtex/297d37470a2768212f3d5c2d2c1bbd9d6/gdmcbain}, doi = {10.1016/S0045-7825(97)00257-0}, interhash = {a28d4f159bb0fb59fdc0791b670def69}, intrahash = {97d37470a2768212f3d5c2d2c1bbd9d6}, issn = {0045-7825}, journal = {Computer Methods in Applied Mechanics and Engineering}, keywords = {65d32-quadrature-and-cubature-formulas 74s05-finite-element-methods-for-solid-mechanics}, number = 3, pages = {301-309}, timestamp = {2021-11-24T23:03:03.000+0100}, title = {A new approach to quadrature for finite elements incorporating hourglass control as a special case}, url = {https://www.sciencedirect.com/science/article/pii/S0045782597002570}, volume = 158, year = 1998 }