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From a detailed elemental abundance analysis of 102 F and G dwarf stars wepresent abundance trends in the Galactic thin and thick disks for 14 elements(O, Na, Mg, Al, Si, Ca, Ti, Cr, Fe, Ni, Zn, Y, Ba, and Eu). Stellar parametersand elemental abundances (except for Y, Ba and Eu) for 66 of the 102 stars werepresented in our previous studies (Bensby et al. 2003, 2004a). The 36 starsthat are new in this study extend and confirm our previous results and allow usto draw further conclusions regarding abundance trends. The s-process elementsY and Ba, and the r-element Eu have also been considered here for the wholesample for the first time. With this new larger sample we now have thefollowing results: 1) Smooth and distinct trends that for the thin and thickdisks are clearly separated; 2) The alpha-element trends for the thick diskshow typical signatures from the enrichment of SNIa; 3) The thick disk stellarsample is in the mean older than the thin disk stellar sample; 4) The thickdisk abundance trends are invariant with galactocentric radii (R_m); 5) Thethick disk abundance trends appear to be invariant with vertical distance(Z_max) from the Galactic plane. Adding further evidence from the literaure weargue that a merger/interacting scenario with a companion galaxy to produce akinematical heating of the stars (that make up today's thick disk) in apre-existing old thin disk is the most likely formation scenario for theGalactic thick disk.Comment: Accepted for publication in A&A, 20 page

$\mathsf{\alpha}$-, r-, and s-process element trends in the Galactic thin and thick disks