A unified framework is introduced for finite element and box discretizations of fractional powers of elliptic operators, where mass lumping produces the intrinsic fractional box method and error estimates are derived under consistency assumptions.
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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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Existence of optimal solutions together with first-order and necessary/sufficient second-order optimality conditions are established for pointwise tracking optimal control of a fractional semilinear elliptic PDE.
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Finite element and box-method discretizations for fractional elliptic problems with quadrature and mass lumping
A unified framework is introduced for finite element and box discretizations of fractional powers of elliptic operators, where mass lumping produces the intrinsic fractional box method and error estimates are derived under consistency assumptions.
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A pointwise tracking optimal control problem for a fractional, semilinear PDE
Existence of optimal solutions together with first-order and necessary/sufficient second-order optimality conditions are established for pointwise tracking optimal control of a fractional semilinear elliptic PDE.