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Ana Maria Soane
Researcher at United States Naval Academy
Publications - 7
Citations - 59
Ana Maria Soane is an academic researcher from United States Naval Academy. The author has contributed to research in topics: Finite element method & Reaction–diffusion system. The author has an hindex of 4, co-authored 7 publications receiving 54 citations. Previous affiliations of Ana Maria Soane include University of Maryland, Baltimore County & Polytechnic University of Milan.
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Multigrid solution of a distributed optimal control problem constrained by the Stokes equations
Andrei Drgnescu,Ana Maria Soane +1 more
TL;DR: This work constructs efficient multigrid preconditioners for the Schur-complement of the block associated with the state and adjoint variables that are shown to be of optimal order with respect to the convergence properties of the discrete methods used to solve the Stokes system.
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Numerical exploration of a system of reaction–diffusion equations with internal and transient layers
TL;DR: In this paper, a reaction pathway for a classical two-species reaction with one reaction that is several orders of magnitudes faster than the other is considered, and the results of exploratory numerical simulations are designed to provide guidance for the analysis to be performed for the transient problem.
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The computational modeling of problems on domains with small holes
TL;DR: A computational method is presented which combines analytic knowledge of the solution singularities with finite element approximation of its smooth components that converges both with respect to the size of the holes and the mesh discretization parameter, and provides a more accurate alternative to using the asymptotic limit.
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Variational problems in weighted Sobolev spaces on non-smooth domains
TL;DR: In this article, the authors studied the Poisson problem and the Helmholtz problem in bounded domains with angular corners in the plane and u = 0 on the boundary, and formulated these as variational problems in weighted Sobolev spaces and proved existence and uniqueness of solutions in what would be weighted counterparts of H 2 ∩ H 1 0.
Design of an effective numerical method for a reaction-diffusion system with internal and transient layers
TL;DR: A finite element method with analytic evaluation of all integrals and an analytic Jacobian matrix to the implicit time stepping method in the software package MATLAB is designed to provide guidance for the analysis to be performed for the transient problem.