×

zbMATH — the first resource for mathematics

An approximation framework for equations in linear viscoelasticity with strongly singular kernels. (English) Zbl 0794.45005
The authors consider equations that arise in linear viscoelastic models. They present an approximation framework for these equations and using the Trotter-Kato theorem they prove a relevant convergence result. This paper extends previous results which don’t work for equations with strongly singular kernels.
Reviewer: S.Anita (Iaşi)

MSC:
45K05 Integro-partial differential equations
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
PDF BibTeX XML Cite
Full Text: DOI