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Accepted Paper: A MINI element over star convex polytopes

  • December 10, 2019
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Paper Accepted for Publication in Finite Elements in Analysis and Design Amrita Francis, Alejandro Ortiz-Bernardin, Stéphane P. A. Bordas, Sundararajan Natarajan, “A MINI element over star convex polytopes” ABSTRACT In this paper, we extend the concept of MINI element over triangles to star convex arbitrary polytopes. This is achieved by employing the volume averaged nodal

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A MINI element over star convex polytopes

  • December 10, 2019
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Finite Elements in Analysis and Design Vol. 172, pp. 103368, 2020 A. Francis, A. Ortiz-Bernardin, S. P. A. Bordas, S. Natarajan Abstract In this paper, we extend the concept of MINI element over triangles to star convex arbitrary polytopes. This is achieved by employing the volume averaged nodal projection (VANP) method over polytopes in combination

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Paper Submitted: Meshfree Volume-Averaged Nodal Projection Method for Nearly-Incompressible Elasticity

  • May 13, 2014
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A. Ortiz-Bernardin, J.S. Hale, C. J. Cyron, “Meshfree volume-averaged nodal projection method for nearly-incompressible elasticity,” submitted. ABSTRACT We present a displacement-based Galerkin meshfree method for the analysis of nearly-incompressible linear elastic solids, where low-order simplicial tessellations (i.e., 3-node triangular or 4-node tetrahedral meshes) are used as a background structure for numerical integration of the weak

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Maximum-entropy meshfree method for compressible and near-incompressible elasticity

  • November 25, 2013
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Computer Methods in Applied Mechanics and Engineering Vol. 119, No. 25-28, pp. 1859-1871, 2010 A. Ortiz , M.A. Puso, N. Sukumar Abstract Numerical integration errors and volumetric locking in the near-incompressible limit are two outstanding issues in Galerkin-based meshfree computations. In this paper, we present a modified Gaussian integration scheme on background cells for meshfree

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Maximum-entropy meshfree method for incompressible media problems

  • November 25, 2013
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Finite Elements in Analysis and Design Vol. 47, No. 6, pp. 572-585, 2011 A. Ortiz , M.A. Puso, N. Sukumar Abstract A novel maximum-entropy meshfree method that we recently introduced in Ortiz et al. (2010) [1] is extended to Stokes flow in two dimensions and to three-dimensional incompressible linear elasticity. The numerical procedure is aimed

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