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Emeritus Professor in the Department of Engineering+44 (0) 191 33 42522


Jon Trevelyan is Emeritus Professor of Engineering. After obtaining his PhD studying transfer function methods for the determination of the dynamic properties of arch dams and working as a graduate civil engineer for Gibb, Jon Trevelyan joined the Computational Mechanics (CM) Group to work on the commercial software BEASY. This was the world-leader in engineering software based on the boundary element method. He stayed with CM for twelve years, seven of which were spent as Vice-President of CM, Inc. in Massachusetts. In 1996 he joined Durham University. From 2007-13 he was the Head of the Mechanics Research Group, and from 2013-17 he was Head of the School of Engineering and Computing Sciences. In 2023 Jon retired and took up Emeritus Professor status. He is no longer able to take on PhD students or postdoctoral researchers.

Jon's research has involved the use of the boundary element method (BEM) in various areas: enriched BEM algorithms for short wave propagation, enriched BEM algorithms for fracture mechanics, fast and interactive methods for stress analysis/re-analysis and topology optimisation. He has also developed enriched finite element algorithms for transient radiation-conduction problems. A common feature of these works is to develop numerical methods, usually through enrichment of one kind or another, to address problems that would be inefficient, inaccurate or insoluble using conventional methods such as those built into commercial software.

Research interests

  • boundary elements
  • enriched boundary elements for fracture mechanics
  • enriched boundary elements for short wave propagation
  • interactive stress analysis software development
  • boundary elements and level sets for topology optimisation
  • enriched finite elements for transient diffusion problems


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