Finite elements for parabolic equations backwards in time

DOI10.1007/BF01400540zbMath0489.65060MaRDI QIDQ1166907

W. Hoehn

Publication date: 1982

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132826

zbMATH Keywords

finite elementsnumerical examplesregularization methodsbackwards in time

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (3)

TV‐like regularization for backward parabolic problems ⋮ Reconstructing the past from imprecise knowledge of the present: Effective non‐uniqueness in solving parabolic equations backward in time ⋮ Convergence analysis of gradient descend methods generated by two different functionals in a backward heat conduction problem

Cites Work

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• Numerical solution of the equation of heat conduction for preceding times
• Continuous dependence on data for solutions of partial differential equations with a prescribed bound
• The Approximation of Certain Parabolic Equations Backward in Time by Sobolev Equations
• On the Numerical Computation of Parabolic Problems for Preceding Times
• Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations
• Single Step Galerkin Approximations for Parabolic Problems

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