A rigorous and unified mass lumping scheme for higher-order elements
Sign Up to like & getrecommendations! Published in 2017 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2017.03.011
Abstract: Abstract In dynamic analysis with explicit time integration schemes, a lumped mass matrix (LMM) is preferable, because LMM can avoid solving the large scale simultaneous algebraic equations. Mathematically rigorous mass lumping schemes, such as the… read more here.
Keywords: mass lumping; mass; higher order; scheme ... See more keywords
Boundary element analysis of the orthotropic potential problems in 2-D thin structures with the higher order elements
Sign Up to like & getrecommendations! Published in 2020 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2020.05.009
Abstract: Abstract For boundary element analysis of the orthotropic potential problems in thin structures, the higher order elements are expected to discretize the boundary. However, the use of the higher order elements leads to more complex… read more here.
Keywords: higher order; potential problems; orthotropic potential; problems thin ... See more keywords
Order 3 Elements in G2 and Idempotents in Symmetric Composition Algebras
Sign Up to like & getrecommendations! Published in 2018 at "Canadian Journal of Mathematics"
DOI: 10.4153/cjm-2017-039-6
Abstract: Abstract Order three elements in the exceptional groups of type ${{G}_{2}}$ are classified up to conjugation over arbitrary fields. Their centralizers are computed, and the associated classification of idempotents in symmetric composition algebras is obtained.… read more here.
Keywords: order; composition algebras; idempotents symmetric; symmetric composition ... See more keywords