Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps

DOI10.1137/21m1402212zbMath1529.65067OpenAlexW4210936312MaRDI QIDQ6172658

Unnamed Author, Jilu Wang, Buyang Li

Publication date: 20 July 2023

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/21m1402212

zbMATH Keywords

error estimatesfinite element methodslumped massheat flow of harmonic mapsrenormalization at nodes

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Length Preserving Numerical Schemes for Landau–Lifshitz Equation Based on Lagrange Multiplier Approaches ⋮ Error estimates of a sphere-constraint-preserving numerical scheme for Ericksen-Leslie system with variable density ⋮ A novel approach of unconditional optimal error estimate of linearized and conservative Galerkin FEM for Klein-Gordon-Schrödinger equations ⋮ Error analysis of a linear numerical scheme for the Landau–Lifshitz equation with large damping parameters ⋮ Unconditionally optimal error estimate of mass- and energy-stable Galerkin method for Schrödinger equation with cubic nonlinearity ⋮ Optimal error estimates of a lowest-order Galerkin-mixed FEM for the thermoviscoelastic Joule heating equations

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