Optimal uniform convergence analysis for a singularly perturbed quasilinear reaction-diffusion problem
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 378885588 | ||
| 003 | CHVBK | ||
| 005 | 20180305123441.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 161128e20040401xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1515/1569395041172944 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/1569395041172944 | ||
| 100 | 1 | |a Li |D J. |u Department of Mathematical Sciences, University of Nevada Las Vegas, 4505 Maryland Parkway,Las Vegas, Nevada 89154-4020, USA | |
| 245 | 1 | 0 | |a Optimal uniform convergence analysis for a singularly perturbed quasilinear reaction-diffusion problem |h [Elektronische Daten] |c [J. Li] |
| 520 | 3 | |a The standard conforming finite element methods on one type of highly nonuniform rectangular meshes are considered for solving the quasilinear singular perturbation problem -ε2(u xx + u yy ) + ƒ(x,y;u) = 0. By using a special interpolation operator and the integral identity technique, optimal uniform convergence rates of O(N -(k+1)) in the L2-norm are obtained for all k-th (k ≥ 1) order conforming tensor-product finite elements, where N is the number of intervals in both x- and y-directions. Hence Apel and Lube's suboptimal results are improved to optimal order and generalized to the quasilinear case. | |
| 540 | |a Copyright 2004, Walter de Gruyter | ||
| 690 | 7 | |a finite element method |2 nationallicence | |
| 690 | 7 | |a singular perturbation |2 nationallicence | |
| 690 | 7 | |a uniform convergence analysis |2 nationallicence | |
| 773 | 0 | |t Journal of Numerical Mathematics |d Walter de Gruyter |g 12/1(2004-04-01), 39-54 |x 1570-2820 |q 12:1<39 |1 2004 |2 12 |o jnma | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/1569395041172944 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/1569395041172944 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Li |D J. |u Department of Mathematical Sciences, University of Nevada Las Vegas, 4505 Maryland Parkway,Las Vegas, Nevada 89154-4020, USA | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Numerical Mathematics |d Walter de Gruyter |g 12/1(2004-04-01), 39-54 |x 1570-2820 |q 12:1<39 |1 2004 |2 12 |o jnma | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||