On the discretization of evolution <i>p</i>-bi-Laplace equation

DOI10.15372/SJNM20220403MaRDI QIDQ5882865

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Publication date: 29 March 2023

Published in: Сибирский журнал вычислительной математики (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sjvm817

zbMATH Keywords

existence and uniquenessmixed finite element methodevolution \(p\)-bi-Laplace equationinf-sup condition and mixed formulation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary value problems for nonlinear higher-order PDEs (35G30) Linear higher-order PDEs (35G05) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• Existence and multiplicity of solutions for a class of \(p(x)\)-biharmonic equations
• An optimal error estimates of \(H^1\)-Galerkin expanded mixed finite element methods for nonlinear viscoelasticity-type equation
• Sign-changing solutions for \(p\)-biharmonic equations with Hardy potential in the half-space
• On a class of boundary value problems involving the \(p\)-biharmonic operator
• On the Babuška-Osborn approach to finite element analysis: \(L^2\) estimates for unstructured meshes
• Analysis of discontinuous Galerkin methods using mesh-dependent norms and applications to problems with rough data
• Existence of nontrivial weak solutions for \(p\)-biharmonic Kirchhoff-type equations
• On a \(p(x)\)-biharmonic problem with Navier boundary condition
• Approximation of \(p\)-biharmonic problem using WEB-spline based mesh-free method
• The $W^1_p$ stability of the Ritz projection on graded meshes
• Weak Solutions for a Fourth Order Degenerate Parabolic Equation
• Analysis of Mixed Methods Using Mesh Dependent Norms
• Sur l'approximation numérique des écoulements quasi-newtoniens dont la viscosité suit la loi puissance ou la loi de Carreau
• SharpL²-Error Estimates and Superconvergence of Mixed Finite Element Methods for Non-Fickian Flows in Porous Media
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• Discontinuous Galerkin methods for the biharmonic problem
• Low perturbations of p-biharmonic equations with competing nonlinearities