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Regularity and Strong Convergence of a Variational Approximation to a Nonhomogeneous Dirichlet Hyperbolic Boundary Value Problem

✍ Scribed by Lasiecka, Irena; Sokolowski, Jan

Book ID
118201593
Publisher
Society for Industrial and Applied Mathematics
Year
1988
Tongue
English
Weight
962 KB
Volume
19
Category
Article
ISSN
0036-1410

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We derive Ξ΅-uniform error estimates for two first-order upwind discretizations of a model inhomogeneous, second-order, singularly perturbed boundary value problem on a non-uniform grid. Here, Ξ΅ is the small parameter multiplying the highest derivative term. The grid is suggested by the equidistribut