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• W2072328809 abstract "We develop and analyze least-squares finite element methods for two complementary div-curl elliptic boundary value problems. The first one prescribes the tangential component of the vector field on the boundary and is solved using curl-conforming elements. The second problem specifies the normal component of the vector field and is handled by div-conforming elements. We prove that both least-squares formulations are norm-equivalent with respect to suitable discrete norms, yield optimal asymptotic error estimates, and give rise to algebraic systems that can be solved by efficient algebraic multigrid methods. Numerical results that illustrate scalability of iterative solvers and optimal rates of convergence are also included." @default.
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• W2072328809 date "2011-01-01" @default.
• W2072328809 modified "2023-09-26" @default.
• W2072328809 title "Analysis and Computation of Compatible Least-Squares Methods for div-curl Equations" @default.
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• W2072328809 doi "https://doi.org/10.1137/090772095" @default.
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