Abstract The VEM (virtual element method) is commonly used in engineering due to its ability solve arbitrary node meshes. In this study, we propose a method determine the free surface of unconfined seepage problem soil-rock mixtures slop using advantages VEM. By cutting meshes iteration, our overcomes limitation fixed mesh solving surface, and numerical tests confirm accuracy proposed predictin...

Motivated by applications to goodness of fit U-statistics testing, the empirical likelihood approach is generalized to allow for the number of constraints to grow with the sample size and for the constraints to use estimated criteria functions. The latter is needed to handle naturally occurring nuisance parameters. The proposed empirical likelihood based goodness of fit tests are asymptotically...

1 1 ) !h15 piipcr a concrprual friiltlework and ;I)) ~)lxra~t;oiid ~~ir~l>tdology I S presen~ed FPI dcscrtbing ~ h c mosl .~pprol,i-i;ttc k ~ ~ o w l e d p rltcir.ir~on rnethod I ]~ r~? toco l , ir tervielv, ~nrlucrinu and repcrlvry g ~ ~ d ) for three c1:isxs or ~ k s (cl~:tgn~s~s, dcbuggirlg and 11-~~crpretation) a d fur exprrrs i r i l h ~t rc.n,c~ 115 n! various r'tct ors of cugnlil\e abili...