Evaluation of massively parallel linear sparse solvers on unstructured finite element meshes

Seid Koric, Qiyue Lu, Erman Guleryuz

Research output: Contribution to journalArticlepeer-review


The performance of massively parallel direct and iterative methods for solving large sparse systems of linear equations arising in finite element method on unstructured (free) meshes in solid mechanics is evaluated on a latest high performance computing system. We present a comprehensive comparison of a representative group of direct and iterative sparse solvers. Solution time, parallel scalability, and robustness are evaluated on test cases with up to 40 million degrees of freedoms and 3.3 billion nonzeros. The results show that direct solution methods, such as multifrontal with hybrid parallel implementation, as well as new hybrid adaptive block factorized preconditioning iterative methods can take a full advantage of a modern high performance computing system and provide superior solution time and parallel scalability performance.

Original languageEnglish (US)
Pages (from-to)19-25
Number of pages7
JournalComputers and Structures
StatePublished - Aug 2014


  • Direct and iterative methods
  • Finite element method
  • High performance computing
  • Parallel Speedup
  • Sparse linear solvers
  • Unstructured mesh

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modeling and Simulation
  • General Materials Science
  • Mechanical Engineering
  • Computer Science Applications


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