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Finite element methods require the composition of the global stiffness matrixfrom local finite element contributions. The composition process combines thecomputation of element stiffness matrices and their assembly into the globalstiffness matrix, which is commonly sparse. In this paper we focus on theassembly process of the global stiffness matrix and explore differentalgorithms and their efficiency on shared memory systems using C++. A keyaspect of our investigation is the use of atomic synchronization primitives forthe derivation of data-race free algorithms and data structures. Furthermore,we propose a new flexible storage format for sparse matrices and compare itsperformance with the compressed row storage format using abstract benchmarksbased on common characteristics of finite element problems.

A flexible sparse matrix data format and parallel algorithms for the  assembly of sparse matrices in general finite element applications using  atomic synchronisation primitives