Name
Title | ||
|---|---|---|
Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data |
Abstract | ||
|---|---|---|
A semidiscrete finite volume element (FVE) approximation to a parabolic integro-differential equation (PIDE) is analyzed in a two-dimensional convex polygonal domain. An optimal-order $L^2$-error estimate for smooth initial data and nearly the same optimal-order $L^2$-error estimate for nonsmooth initial data are obtained. More precisely, for homogeneous equations, an elementary energy technique and a duality argument are used to derive an error estimate of order $O\left(t^{-1}{h^2}\ln h\right)$ in the $L^2$-norm for positive time when the given initial function is only in $L^2$. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1137/040612099 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
nonsmooth initial data,semidiscrete finite volume element,smooth and nonsmooth initial data.,error estimate,smooth initial data,homogeneous equation,optimal-order error estimate,initial function,ln h,new error estimate,parabolic equation,parabolic integro-differential equation,positive time,integro-differential equation,elementary energy technique,duality argument,finite volume,integro differential equation | Polygon,Mathematical optimization,Mathematical analysis,Integro-differential equation,Finite element method,Regular polygon,Duality (optimization),Numerical analysis,Finite volume method,Mathematics,Parabola | Journal |
Volume | Issue | ISSN |
43 | 6 | 0036-1429 |
Citations | PageRank | References |
7 | 0.92 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Rajen K. Sinha | 1 | 15 | 2.05 |
| Richard E. Ewing | 2 | 252 | 45.87 |
| Raytcho D. Lazarov | 3 | 456 | 82.23 |