100 citations · 208 across the 11 of their papers we have counts for
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Multipatch Discontinuous Galerkin IGA for the Biharmonic Problem On Surfaces
Stephen E. Moore
We present the analysis of interior penalty discontinuous Galerkin Isogeometric Analysis (dGIGA) for the biharmonic problem on orientable surfaces Here, we…
Discontinuous Galerkin Isogeometric Analysis for Elliptic Problems with Discontinuous Coefficients on Surfaces
Stephen Edward Moore
This paper is concerned with using discontinuous Galerkin isogeometric analysis (dGIGA) as a numerical treatment of Diffusion problems on orientable surfaces $Ω\subset \mathbb{R}^3…
A Stable Space-Time Finite Element Method for Parabolic Evolution Problems
Stephen Edward Moore
This paper is concerned with the analysis of a new stable space-time finite element method (FEM) for the numerical solution of parabolic evolution problems in moving spatial comput…
Space-Time Multi-patch Discontinuous Galerkin Isogeometric Analysis for Parabolic Evolution Problems
Stephen Edward Moore
We present and analyze a stable space-time multi-patch discontinuous Galerkin Isogeometric Analysis (dG-IgA) scheme for the numerical solution of parabolic evolution equations in m…
Discontinuous Galerkin Isogeometric Analysis for The Biharmonic Equation
Stephen E. Moore
We present and analyze an interior penalty discontinuous Galerkin Isogeometric Analysis (dG-IgA) method for the biharmonic equation in computational domain in with $…
Mesh Grading in Isogeometric Analysis
Ulrich Langer, Angelos Mantzaflaris, Stephen E. Moore +1
This paper is concerned with the construction of graded meshes for approximating so-called singular solutions of elliptic boundary value problems by means of multipatch discontinuo…