Convergence of a time discretisation for doubly nonlinear evolution equations of second order

DOI10.1007/s10208-010-9061-5zbMath1192.65059OpenAlexW2158070160MaRDI QIDQ967206

Etienne Emmrich, Mechthild Thalhammer

Publication date: 28 April 2010

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10208-010-9061-5

zbMATH Keywords

weak convergencemonotone operatorsecond-order evolution equationvariable time step

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solutions to equations with nonlinear operators (65J15) Abstract hyperbolic equations (35L90) Numerical solutions to abstract evolution equations (65J08)

Related Items (8)

Existence and Uniqueness of Global Weak Solutions to Strain-Limiting Viscoelasticity with Dirichlet Boundary Data ⋮ Runge-Kutta methods for linear semi-explicit operator differential-algebraic equations ⋮ On a full discretisation for nonlinear second-order evolution equations with monotone damping: construction, convergence, and error estimates ⋮ Convergence of a Time Discretization for a Nonlinear Second-Order Inclusion ⋮ Nonlinear stochastic evolution equations of second order with damping ⋮ Equations of second order in time with quasilinear damping: existence in Orlicz spaces via convergence of a full discretisation ⋮ Doubly nonlinear evolution equations of second order: existence and fully discrete approximation ⋮ Convergence of the Rothe method applied to operator DAEs arising in elastodynamics

Cites Work

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• Su una equazione di tipo iperbolico non lineare
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• Application of rothe’s method to semilinear hyperbolic equations
• Some non-linear evolution equations

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