The deal.II library, version 9.8

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Version 9.8 of the deal.II finite element library introduces substantially expanded support for mixed meshes and major improvements to matrix-free GPU functionality. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Daniel Arndt; Wolfgang Bangerth; Bruno Blais; Marc Fehling; René Gassmöller; Timo Heister; Luca Heltai; Vladimir Ivannikov; Martin Kronbichler; Matthias Maier; Peter Munch; Andreas Steger; Dominik Still; Bruno Turcksin; David Wells

doi:10.1515/jnma-2026-0118

September 10, 2026Journal of Numerical MathematicsOpen Access

The deal.II library, version 9.8

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Key Points

To introduce and document the new features, capabilities, and performance enhancements introduced in version 9.8 of the open-source deal.II finite element library.
Expanded geometric modeling algorithms to support mixed element meshes containing tetrahedra, wedges, and pyramids.
Optimized matrix-free operator evaluation algorithms specifically targeted for GPU acceleration architectures.
Substantially broadened the software's mesh-generation and handling capabilities to accommodate complex geometries using hybrid element shapes.
Delivered major performance enhancements to matrix-free execution pipelines on GPU hardware along with extensive core library updates.

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Implication

Software report reveals expanded mixed mesh support and enhanced matrix-free GPU computing, indicating faster scientific simulations.

Abstract

This paper provides an overview of the new features of the finite element library deal.II , version 9.8, with substantially expanded support for mixed meshes containing tetrahedra, wedges, and pyramids, major improvements to the matrix-free GPU functionality, and many other improvements.

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Arndt et al. (2026) studied this question.

synapsesocial.com/papers/6aa51f2b327956e4761f944b https://doi.org/10.1515/jnma-2026-0118

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The deal.II library, version 9.8

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The deal.II library, version 9.8

Key Points

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