S
Susanne C. Brenner
Researcher at Louisiana State University
Publications - 159
Citations - 12398
Susanne C. Brenner is an academic researcher from Louisiana State University. The author has contributed to research in topics: Finite element method & Penalty method. The author has an hindex of 40, co-authored 155 publications receiving 11078 citations. Previous affiliations of Susanne C. Brenner include Clarkson University & University of South Carolina.
Papers
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Virtual element methods on meshes with small edges or faces
Susanne C. Brenner,Li-Yeng Sung +1 more
TL;DR: A model Poisson problem in [Formula: see text] is considered and error estimates for virtual element methods on polygonal or polyhedral meshes that can contain small edges or small faces are established.
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Some Estimates for Virtual Element Methods
TL;DR: Novel techniques for obtaining the basic estimates of virtual element methods in terms of shape regularity of polygonal/polyhedral meshes are presented and new error estimates for the Poisson problem in two and three dimensions are derived.
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Two-level additive Schwarz preconditioners for nonconforming finite element methods
TL;DR: Two-level additive Schwarz preconditioners are developed for the nonconforming P1 finite element approximation of scalar second-order symmetric positive definite elliptic boundary value problems, the Morley finite element approximation of the biharmonic equation, and the divergence-free nonconformant approximation of the stationary Stokes equations.
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Convergence of nonconforming multigrid methods without full elliptic regularity
TL;DR: It is proved that there is a bound (< 1) for the contraction number of the W-cycle algorithm which is independent of mesh level, provided that the number of smoothing steps is sufficiently large.
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BDDC and FETI-DP without matrices or vectors
Susanne C. Brenner,Li-Yeng Sung +1 more
TL;DR: The connection between the BDDC (balancing domain decomposition by constraints) algorithm and the FETI-DP (finite element tearing and interconnecting dual–primal) algorithm is discussed in the language of function spaces, operators and linear functionals.