\(H^{1}\)-Galerkin expanded mixed finite element methods for nonlinear pseudo-parabolic integro-differential equations. (English) Zbl 1270.65077
The authors study the \( H^{1}\)-Galerkin expanded mixed finite element methods for nonlinear pseudo-parabolic integro-differential equations. In particular, they extend the \( H^{1}\)-Galerkin expanded mixed finite element method developed by H.-Z. Chen and H. Wang [Numer. Methods Partial Differ. Equations 26, No. 1, 188–205 (2010; Zbl 1425.65094)] to nonlinear pseudo-parabolic integro-differential equations. They present the theoretical analysis to study the existence and uniqueness of numerical solutions of the scheme and obtain an optimal-order error estimate. Numerical examples are given to illustrate the effectiveness of the method presented.
Reviewer: Seenith Sivasundaram (Daytona Beach)
MSC:
| 65R20 | Numerical methods for integral equations |
| 45K05 | Integro-partial differential equations |
| 45G10 | Other nonlinear integral equations |
Keywords:
\(H^{1}\)-Galerkin expanded mixed finite element method; error estimates; nonlinear pseudo-parabolic integro-differential equations; numerical examplesCitations:
Zbl 1425.65094References:
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