The phrase "elaborate manner" is correct and can be used in written English.
You could use this phrase in a sentence to describe how someone completed a task in an involved, detailed or thorough manner. For example, "She completed the project in an elaborate manner, making sure to take each step necessary for a successful outcome."
The head of the physics department came in and asked about a raise - in a very elaborate manner.
We suggest that the results of this study will be broadly useful in controlling hydrogel properties in an elaborate manner, in turn advancing various molecular and cell therapies.
This overseas attention was particularly galling in Britain, where it was complained that, "while scarcely any one thinks Maclean's arguments worthy of a serious refutation, we find Americans, French, Germans, and Italians, setting themselves to investigate in the most elaborate manner, the various grounds for his opinions".
Meanwhile, his wife was mightily impressed by the "undoubted aristocracy" and elaborate manners of upper-class Fijians.
"I spent my working life in a place of profound rudeness disguised by elaborate manners," she said.
Elaborate manners of regulation, such as interacting DNA-methylation and histone modification systems, are likely to be the hallmarks of the epigenetic code.
Tumour response to neoadujvant treatment was assessed in a highly standardised and elaborated manner by determination of histopathological tumour regression grade (TRG) and tumour stage (Becker et al, 2003; Langer et al, 2009).
His slouch has become a full question mark of a slump, but his genial, barracuda smile is intact, as are the elaborate schoolboy manners that lead him to refer to the men who mentored him by both their names and their nicknames.
Originally a marshland, it was landscaped in an elaborate and formalized manner during the rule of Charles II (1660 85).
Zhang et al. (2008) proposed a general minimum lower order confounding (GMC for short) criterion, which aims to select optimal factorial designs in a more elaborate and explicit manner.
In spite of the lucidity of the message delivery inherent in exhibition, the study participants have opted more for lectures possibly because of the reason that the lectures contained optimum volume of messages delivered in a more elaborate and systematic manner.
