Guosheng Fu

activity

20132026

most citedArbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for incompressible flow with moving boundaries and interfaces

24 citations · 219 across the 39 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.NA2017

Fully computable a posteriori error bounds for hybridizable discontinuous Galerkin finite element approximations

Mark Ainsworth, Guosheng Fu

We derive a posteriori error estimates for the hybridizable discontinuous Galerkin (HDG) methods, including both the primal and mixed formulations, for the approximation of a linea…

math.NA2017★ 4 cited

A lowest-order composite finite element exact sequence on pyramids

Mark Ainsworth, Guosheng Fu

Composite basis functions for pyramidal elements on the spaces $H^{1} (Ω)$ , $H (curl, Ω)$ , $H (div, Ω)$ and $L^{2} (Ω)$ are presented. In particular, we construct the lowes…

math.NA2017★ 2 cited

Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by $M$ -decompositions

Bernardo Cockburn, Guosheng Fu

We propose a new tool, which we call $M$ -decompositions, for devising superconvergent hybridizable discontinuous Galerkin (HDG) methods and hybridized-mixed methods for linear elas…

Fully computable a posteriori error bounds for hybridizable discontinuous Galerkin finite element approximations

A lowest-order composite finite element exact sequence on pyramids

Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by M-decompositions

Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by $M$ -decompositions