M
Mark S. Shephard
Researcher at Rensselaer Polytechnic Institute
Publications - 308
Citations - 9806
Mark S. Shephard is an academic researcher from Rensselaer Polytechnic Institute. The author has contributed to research in topics: Finite element method & Mesh generation. The author has an hindex of 48, co-authored 292 publications receiving 9223 citations. Previous affiliations of Mark S. Shephard include Johns Hopkins University.
Papers
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Journal ArticleDOI
Automatic three‐dimensional mesh generation by the finite octree technique
Mark A. Yerry,Mark S. Shephard +1 more
TL;DR: An octree-based fully automatic three-dimensional mesh generator is presented, capable of meshing non-manifold models of arbitrary geometric complexity through the explicit tracking and enforcement of geometric compatibility and geometric similarity at each step of the meshing process.
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Computational plasticity for composite structures based on mathematical homogenization: Theory and practice
TL;DR: In this article, the authors generalize the classical mathematical homogenization theory for heterogeneous medium to account for eigenstrains and derive a close form expression relating arbitrary eigen-strains to the mechanical fields in the phases.
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A Modified Quadtree Approach To Finite Element Mesh Generation
Mark A. Yerry,Mark S. Shephard +1 more
TL;DR: By allowing the use of quadrants with cut corners, this modeling technique overcomes some of the drawbacks of standard quadtree encoding for finite element mesh generation.
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Multiphysics simulations: Challenges and opportunities
David E. Keyes,Lois Curfman McInnes,Carol S. Woodward,William Gropp,Eric Myra,Michael Pernice,John B. Bell,Jed Brown,Alain Clo,Jeffrey M. Connors,Emil M. Constantinescu,Donald Estep,Katherine J. Evans,Charbel Farhat,Ammar Hakim,Glenn E. Hammond,Glen A. Hansen,Judith Hill,Tobin Isaac,Xiangmin Jiao,Kirk E. Jordan,Dinesh K. Kaushik,Efthimios Kaxiras,Alice Koniges,Kihwan Lee,P. Aaron Lott,Qiming Lu,John H. Magerlein,Reed M. Maxwell,Michael McCourt,Miriam Mehl,Roger P. Pawlowski,Amanda Randles,Daniel R. Reynolds,Béatrice Rivière,Ulrich Rüde,Timothy D. Scheibe,John N. Shadid,Brendan Sheehan,Mark S. Shephard,Andrew R. Siegel,Barry Smith,Xian-Zhu Tang,Cian R. Wilson,Barbara Wohlmuth +44 more
TL;DR: This study considers multiphysics applications from algorithmic and architectural perspectives, where “algorithmic” includes both mathematical analysis and computational complexity, and “architectural’ includes both software and hardware environments.
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Robust, geometrically based, automatic two‐dimensional mesh generation
TL;DR: The algorithmic changes made do ensure the robustness of the approach, but introduce additional algorithmic difficulties, the solutions of which are also presented.