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Creators/Authors contains: "Oh, Minah"

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  1. (, Journal of Mathematical Analysis and Applications)
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  2. (, IMA Journal of Numerical Analysis)
    null (Ed.)
    Abstract We study the mixed formulation of the abstract Hodge Laplacian on axisymmetric domains with general data through Fourier finite element methods (Fourier-FEMs) in weighted function spaces. Closed Hilbert complexes and commuting projectors are used as in the work of Arnold, Falk & Winther, (2010, Finite element exterior calculus: from Hodge theory to numerical stability. Bull. Amer. Math. Soc. (N.S.), 47, 281–354), by using the new family of finite element spaces for general axisymmetric problems introduced in Oh, (2015, de Rham complexes arising from Fourier-FEMs in axisymmetric domains. Comput. Math. Appl., 70, 2063–2073). In order to get stability results and error estimates for the discrete mixed formulation, we construct commuting projectors that can be applied to functions with low regularity. 
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  3. ; ; (, Numerical Algorithms)
    We investigate a P1 finite element method for a two-dimensional weighted optimal control problem arising from a three-dimensional axisymmetric elliptic state-constrained optimal control problem with Dirichlet boundary conditions. 
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  4. ; ; (, Results in applied mathematics)
    We investigate two $$P_1$$ finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions on general polygonal domains. 
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