Full discretisations for nonlinear evolutionary inequalities based on stiffly accurate Runge-Kutta and \(hp\)-finite element methods
DOI10.1007/s10208-013-9179-3zbMath1308.65108OpenAlexW1993750280WikidataQ40884683 ScholiaQ40884683MaRDI QIDQ486669
Publication date: 16 January 2015
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10208-013-9179-3
stabilityconvergencevariational inequalitiesHilbert spacelower semicontinuityimplicit Euler methodconvex subsetsmonotone operatorsexistence theorynonlinear differential inclusionspiecewise constant\(hp\)-finite element approximationsevolutionary inequalitiesnonconforming Galerkin methodsnonlinear evolutionary inequalitiesSignorini-type initial boundary value problemstiffly accurate Runge-Kutta methodstime interpolant
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Equations involving nonlinear operators (general) (47J05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Numerical methods for variational inequalities and related problems (65K15) Variational and other types of inclusions (47J22) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)
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