Abstract
We consider numerical solutions by finite element methods for a class of hyperbolic integro-differential equations in linear viscoelasticity. The kernel under consideration is assumed to be of positive type or monotonic. The semidiscrete and fully discrete (with positive discretization of the kernel) finite element methods are studied, and L 2 error estimates are demonstrated for smooth data.
Original language | English |
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Pages (from-to) | 69-88 |
Number of pages | 20 |
Journal | Calcolo |
Volume | 30 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Mar 1993 |
Externally published | Yes |
Keywords
- error estimates
- finite element
- integro-differential
- Linear viscoelasticity
- positive kernel
ASJC Scopus subject areas
- Algebra and Number Theory