Interpolation of the Coefficients in Nonlinear Elliptic Galerkin Procedures

DOI10.1137/0721004zbMath0542.65042OpenAlexW2092634576MaRDI QIDQ3330411

Luis M. Abia, Jesús María Sanz-Serna

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1137/0721004

zbMATH Keywords

finite-elementproduct approximationnonlinear elliptic problemsnonlinear Galerkin methodsoptimal convergence

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

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Superconvergent interpolatory HDG methods for reaction diffusion equations. II: HHO-inspired methods ⋮ Nonlinear model reduction based on the finite element method with interpolated coefficients: Semilinear parabolic equations ⋮ Unnamed Item ⋮ Interpolatory super-convergent discontinuous Galerkin methods for nonlinear reaction diffusion equations on three dimensional domains ⋮ A supraconvergent scheme for the Korteweg-de Vries equation ⋮ The immersed interface method for a nonlinear chemical diffusion equation with local sites of reactions ⋮ A Two-Grid Approximation of an Interface Problem for the Nonlinear Poisson-Boltzmann Equation ⋮ Superconvergent interpolatory HDG methods for reaction diffusion equations. I: An \(HDG_k\) method ⋮ Interpolatory HDG method for parabolic semilinear PDEs ⋮ A Superconvergent Ensemble HDG Method for Parameterized Convection Diffusion Equations

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