2 papers
math.NA2025
A Note on the Convergence of Symmetric Triangle Quadrature Rules
Brian A. Freno, Neil R. Matula, Joseph E. Bishop
Symmetric polynomial quadrature rules for triangles are commonly used to efficiently integrate two-dimensional domains in finite-element-type problems. While the development of suc…
math.NA2024
Stress-hybrid virtual element method on six-noded triangular meshes for compressible and nearly-incompressible linear elasticity
Alvin Chen, Joseph E. Bishop, N. Sukumar
In this paper, we present a first-order Stress-Hybrid Virtual Element Method (SH-VEM) on six-noded triangular meshes for linear plane elasticity. We adopt the Hellinger--Reissner v…