Estimates for the accuracy of the projection-difference method for an abstract hyperbolic-parabolic system like systems of thermoelasticity equations

DOI10.1134/S0012266110070074zbMath1206.65193OpenAlexW2046658272MaRDI QIDQ610384

S. E. Zhelezovskii

Publication date: 8 December 2010

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266110070074

zbMATH Keywords

error estimatesCauchy problemHilbert spacethermoelasticityhyperbolic-parabolic systemfinite difference method in timeprojection-difference methodGalerkin method in spacesystem of abstract differential equations

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Linear differential equations in abstract spaces (34G10) Finite difference and finite volume methods for ordinary differential equations (65L12) Initial value problems for mixed-type systems of PDEs (35M31)

Related Items

On the stability of an operator-difference scheme of the type of hyperbolic-parabolic systems of differential equations ⋮ Error estimate for a symmetric scheme of the projection-difference method for an abstract hyperbolic-parabolic system of the type of systems of thermoelasticity equations

Cites Work

• Error estimates for schemes of the projection-difference method for abstract quasilinear hyperbolic equations
• COERCIVE ERROR ESTIMATES IN THE PROJECTION AND PROJECTION-DIFFERENCE METHODS FOR PARABOLIC EQUATIONS
• Projection-difference methods for the approximate solution of parabolic equations with nonsymmetric operators
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