Establishes Fréchet differentiability, linearized uniqueness via a reference-state framework, and a frozen Newton reconstruction scheme for three parameters in the periodic nonlinear Westervelt equation.
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Introduces and analyzes the Δ_k-GenEO coarse space for Helmholtz problems, sharpening k-explicit GMRES convergence conditions and demonstrating scalability and robustness for low to moderate frequencies via numerical experiments.
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Multi parameter identification in the nonlinear periodic Westervelt equation
Establishes Fréchet differentiability, linearized uniqueness via a reference-state framework, and a frozen Newton reconstruction scheme for three parameters in the periodic nonlinear Westervelt equation.
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Can Symmetric Positive Definite (SPD) coarse spaces perform well for indefinite Helmholtz problems?
Introduces and analyzes the Δ_k-GenEO coarse space for Helmholtz problems, sharpening k-explicit GMRES convergence conditions and demonstrating scalability and robustness for low to moderate frequencies via numerical experiments.