4 papers
Scaled boundary cubature scheme in higher dimensions: integration over polytopes and curved regions
Eric B. Chin, N. Sukumar
We extend the scaled boundary cubature (SBC) scheme from planar regions to higher-dimensional regions described by oriented boundary patches. The resulting parametrization transfor…
CutVEM: Conforming virtual element method on embedded domains with shape-agnostic element agglomeration
Ramsharan Rangarajan, N. Sukumar
The virtual element method (VEM) is a stabilized Galerkin method that is robust and accurate on general polygonal meshes. This feature makes it an appealing candidate for simulatio…
Penalty-free discontinuous Galerkin method
Jan Jaśkowiec, N. Sukumar
In this paper, we present a new high-order discontinuous Galerkin (DG) method, in which neither a penalty parameter nor a stabilization parameter is needed. We refer to this method…
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…