$L_\infty $-convergence of finite element Galerkin approximations for parabolic problems
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Publication:4185770
DOI10.1051/m2an/1979130100311zbMath0401.65069OpenAlexW2504755802MaRDI QIDQ4185770
Publication date: 1979
Published in: RAIRO. Analyse numérique (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/193332
Initial-boundary value problems for second-order parabolic equations (35K20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Initial value problems for second-order parabolic equations (35K15)
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The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles ⋮ Maximum-norm stability and maximal \(L^p\) regularity of FEMs for parabolic equations with Lipschitz continuous coefficients ⋮ From finite differences to finite elements. A short history of numerical analysis of partial differential equations ⋮ Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems ⋮ Semi-discrete finite element approximations for linear parabolic integro-differential equations with integrable kernels ⋮ Maximum-norm-stability and error-estimates in Galerkin methods for parabolic equations in one space variable ⋮ Optimal error estimates for linear parabolic problems under minimal regularity assumptions ⋮ The stability of Ritz-Volterra projection and error estimates for finite element methods for a class of integro-differential equations of parabolic type
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