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This work studies three multigrid variants for matrix-free finite-element computations on
locally refined meshes: geometric local smoothing, geometric global coarsening (both h …

We present a non-nested multilevel algorithm for solving the Poisson equation discretized at
scattered points using polyharmonic radial basis function (PHS-RBF) interpolations. We …

We describe a combination of algorithms for high-fidelity geometric modeling and mesh
generation. Although our methods and implementations are application-neutral, our primary …

Traditionally, the geometric multigrid method is used with nested levels. However, the
construction of a suitable hierarchy for very fine and unstructured grids is, in general, highly …

A meshless geometric multigrid (GMG) method based on a node-coarsening algorithm is
proposed in the context of finite element method (FEM) with unstructured grids consisting of …

In this paper, we developed and demonstrated a non-nested multilevel procedure for solving
the heat conduction equation in complex domains using a meshless discretization method …

We present the application of simultaneous diagonalization and minimum energy (SDME)
high-order finite element modal bases for simulation of transient non-linear elastodynamic …

A new stable unstructured finite volume method is presented for parallel large-scale
simulation of viscoelastic fluid flows. The numerical method is based on the side-centered …

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