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We present Gridap, a new scientific software library for the numericalapproximation of partial differential equations (PDEs) using grid-basedapproximations. Gridap is an open-source software project exclusively writtenin the Julia programming language. The main motivation behind the developmentof this library is to provide an easy-to-use framework for the development ofcomplex PDE solvers in a dynamically typed style without sacrificing theperformance of statically typed languages. This work is a tutorial-driven userguide to the library. It covers some popular linear and nonlinear PDE systemsfor scalar and vector fields, single and multi-field problems, conforming andnonconforming finite element discretizations, on structured and unstructuredmeshes of simplices and hexahedra.

A user-guide to Gridap -- grid-based approximation of partial differential equations in Julia