Continuous time integration for changing type systems. (English) Zbl 1473.65192
Summary: We consider variational time integration using continuous Galerkin-Petrov methods applied to evolutionary systems of changing type. We prove optimal-order convergence of the error in a cGP-like norm and conclude the paper with some numerical examples and conclusions.
MSC:
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 65J08 | Numerical solutions to abstract evolution equations |
| 65J10 | Numerical solutions to equations with linear operators |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
Keywords:
evolutionary equations; changing type system; continuous Galerkin-Petrov; space-time approachReferences:
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