On an integro-differential fractional nonlinear Volterra-Caputo equation

DOI10.15372/SJNM20210402zbMath1498.65159OpenAlexW4251408414WikidataQ115235528 ScholiaQ115235528MaRDI QIDQ5048424

Séréna Dib, Toufic El Arwadi, N. Abou Jmeih

Publication date: 16 November 2022

Published in: Сибирский журнал вычислительной математики (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sjvm785

zbMATH Keywords

finite element schemea priori error analysisdynamical boundary conditionsDirichlet-to-Neumann semigroup

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

• Dirichlet-to-Neumann semigroup acts as a magnifying glass
• Non-positivity of the semigroup generated by the Dirichlet-to-Neumann operator
• Functional analysis, Sobolev spaces and partial differential equations
• Theory and practice of finite elements.
• An approximating family for the Dirichlet-to-Neumann semigroup
• Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
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