Some estimates for resolvent operators under the discretization by finite element method

DOI10.1007/s40314-014-0168-1zbMath1323.35060OpenAlexW2075071210MaRDI QIDQ747210

German Lozada-Cruz, Rodiak N. Figueroa-López

Publication date: 23 October 2015

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11449/168037

zbMATH Keywords

parabolic equationsfinite elements methodresolvent operator approximation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Linear operator approximation theory (47A58)

Related Items (2)

Topological structural stability of partial differential equations on projected spaces ⋮ Dynamics of parabolic equations via the finite element method. I: Continuity of the set of equilibria.

Cites Work

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• Dynamics in Dumbbell domains. I: Continuity of the set of equilibria
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• On the finite element method for parabolic equations. I: Approximation of homomorphic semi-groups
• Reduction of Infinite Dimensional Systems to Finite Dimensions: Compact Convergence Approach

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