A high-order quadrature algorithm is presented for computing integrals over curved surfaces
and volumes whose geometry is implicitly defined by the level sets of (one or more) …

A high-order accurate implicit-mesh discontinuous Galerkin framework for wave propagation
in single-phase and bi-phase solids is presented. The framework belongs to the embedded …

Cut finite element method–based approaches toward challenging fluid‐structure interaction
(FSI) are proposed. The different considered methods combine the advantages of competing …

We compute low-cardinality algebraic cubature formulas on convex or concave polygonal
elements with a circular edge, by subdivision into circular quadrangles, blending formulas …

Node elimination is a numerical approach for obtaining cubature rules for the approximation
of multivariate integrals. Beginning with a known cubature rule, nodes are selected for …

In this paper we provide a tetrahedra-free algorithm to compute low-cardinality quadrature
rules with a given degree of polynomial exactness, positive weights and interior nodes on a …

For a scalar function conserved by an unsteady flow, its flux through a simple curve is
usually expressed as an Eulerian flux, a double integral both in time and in space. We show …

We present a novel method to model large deformation fluid‐structure‐fracture interaction,
which is characterized by the fact that the fluid‐induced loads lead to fracture of the structure …

H 1-conforming Galerkin methods on polygonal meshes such as VEM, BEM-FEM and Trefftz-
FEM employ local finite element functions that are implicitly defined as solutions of Poisson …

A high-order quadrature algorithm is presented for computing integrals over curved surfaces
and volumes whose geometry is implicitly defined by the level sets of (one or more) …